{
  "problem_id": "auto_problem_093",
  "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n  Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n  - Minimum Factor of Safety (buckling): 1.5\n  - Minimum Factor of Safety (yielding): 1.5\n  - Maximum allowable mass: 600.91 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": 3394,
  "max_depth": 9,
  "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 495.58 kg\n  Factor of Safety: 1.00\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": 495.5753636141146,
      "fos_buckling": 0.9969974985887733,
      "fos_yielding": 12.480088253361052,
      "deflection": 0.007462827750885374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_0",
      "improvement_over_parent": null
    },
    "node_2": {
      "node_id": "node_2",
      "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 497.13 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 497.1268614580498,
      "fos_buckling": 0.996997498588773,
      "fos_yielding": 12.480088253361052,
      "deflection": 0.007462827750885376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.256)"
      },
      "parent_node_id": "node_1",
      "improvement_over_parent": null
    },
    "node_3": {
      "node_id": "node_3",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 544.73 kg\n  Factor of Safety: 1.50\n  Max Deflection: 5.98e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.7296259185528,
      "fos_buckling": 1.5024527289089857,
      "fos_yielding": 14.382004166683693,
      "deflection": 0.005978236137867027,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2",
      "improvement_over_parent": null
    },
    "node_4": {
      "node_id": "node_4",
      "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0131)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 560.39 kg\n  Factor of Safety: 1.50\n  Max Deflection: 5.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 560.3893056773727,
      "fos_buckling": 1.4958126303225021,
      "fos_yielding": 14.817645959972866,
      "deflection": 0.0058125015718192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.211)"
      },
      "parent_node_id": "node_3",
      "improvement_over_parent": null
    },
    "node_5": {
      "node_id": "node_5",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_4",
      "improvement_over_parent": null
    },
    "node_6": {
      "node_id": "node_6",
      "content": "INITIAL DESIGN (Trace 1)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 329.44 kg\n  Factor of Safety: 0.86\n  Max Deflection: 9.81e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 329.4365398388367,
      "fos_buckling": 0.8558202887313768,
      "fos_yielding": 8.143126089443625,
      "deflection": 0.009809363720362054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_7": {
      "node_id": "node_7",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 398.49 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.4945922661728,
      "fos_buckling": 1.0134526701219426,
      "fos_yielding": 9.876718730693135,
      "deflection": 0.008140065775148942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_6",
      "improvement_over_parent": null
    },
    "node_8": {
      "node_id": "node_8",
      "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 400.74 kg\n  Factor of Safety: 1.02\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": 400.7417029977246,
      "fos_buckling": 1.024052406852292,
      "fos_yielding": 12.149205451626898,
      "deflection": 0.008039669465117716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.282)"
      },
      "parent_node_id": "node_7",
      "improvement_over_parent": null
    },
    "node_9": {
      "node_id": "node_9",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 480.79 kg\n  Factor of Safety: 1.20\n  Max Deflection: 6.73e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.7862689839343,
      "fos_buckling": 1.198171228355193,
      "fos_yielding": 14.574786438946994,
      "deflection": 0.006731707298770546,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_8",
      "improvement_over_parent": null
    },
    "node_10": {
      "node_id": "node_10",
      "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 496.85 kg\n  Factor of Safety: 1.25\n  Max Deflection: 6.59e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 496.85305276158766,
      "fos_buckling": 1.2509224202530516,
      "fos_yielding": 13.97033156276652,
      "deflection": 0.006591979647053475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.558)"
      },
      "parent_node_id": "node_9",
      "improvement_over_parent": null
    },
    "node_11": {
      "node_id": "node_11",
      "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 517.97 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.39e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.9747624253403,
      "fos_buckling": 1.3352121378984034,
      "fos_yielding": 13.234417009661325,
      "deflection": 0.006390451459021877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.538)"
      },
      "parent_node_id": "node_10",
      "improvement_over_parent": null
    },
    "node_12": {
      "node_id": "node_12",
      "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 535.03 kg\n  Factor of Safety: 1.54\n  Max Deflection: 6.14e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 535.0275762381364,
      "fos_buckling": 1.5360289898302777,
      "fos_yielding": 13.797095355149702,
      "deflection": 0.006140160949837992,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.282)"
      },
      "parent_node_id": "node_11",
      "improvement_over_parent": null
    },
    "node_13": {
      "node_id": "node_13",
      "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5039748232414,
      "fos_buckling": 1.5381865151168097,
      "fos_yielding": 14.278036521099112,
      "deflection": 0.005951831692095279,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.250)"
      },
      "parent_node_id": "node_12",
      "improvement_over_parent": null
    },
    "node_14": {
      "node_id": "node_14",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_13",
      "improvement_over_parent": null
    },
    "node_15": {
      "node_id": "node_15",
      "content": "INITIAL DESIGN (Trace 2)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 352.60 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.82e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.60321341208146,
      "fos_buckling": 0.8178052376222025,
      "fos_yielding": 9.850200011464011,
      "deflection": 0.009823358485226509,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_16": {
      "node_id": "node_16",
      "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 355.48 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.74e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.479368726645,
      "fos_buckling": 0.8178052376222026,
      "fos_yielding": 9.850200011464011,
      "deflection": 0.009743188308393295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.661)"
      },
      "parent_node_id": "node_15",
      "improvement_over_parent": null
    },
    "node_17": {
      "node_id": "node_17",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 392.71 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 392.71176466678264,
      "fos_buckling": 1.1804299055915015,
      "fos_yielding": 12.60623846835347,
      "deflection": 0.008021820562231542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006646)"
      },
      "parent_node_id": "node_16",
      "improvement_over_parent": null
    },
    "node_18": {
      "node_id": "node_18",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 502.50 kg\n  Factor of Safety: 1.44\n  Max Deflection: 6.31e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 502.50142819938486,
      "fos_buckling": 1.4437496076725747,
      "fos_yielding": 16.10783832355569,
      "deflection": 0.0063118720940040255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_17",
      "improvement_over_parent": null
    },
    "node_19": {
      "node_id": "node_19",
      "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0174)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.11 kg\n  Factor of Safety: 1.46\n  Max Deflection: 5.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.1133553865033,
      "fos_buckling": 1.4586845753427717,
      "fos_yielding": 16.919237306390645,
      "deflection": 0.005891094331698676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.613)"
      },
      "parent_node_id": "node_18",
      "improvement_over_parent": null
    },
    "node_20": {
      "node_id": "node_20",
      "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0089)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0174)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 565.63 kg\n  Factor of Safety: 1.45\n  Max Deflection: 5.77e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 565.6266534339168,
      "fos_buckling": 1.4529579454882293,
      "fos_yielding": 16.301926207355933,
      "deflection": 0.005766980996848657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.517)"
      },
      "parent_node_id": "node_19",
      "improvement_over_parent": null
    },
    "node_21": {
      "node_id": "node_21",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_20",
      "improvement_over_parent": null
    },
    "node_22": {
      "node_id": "node_22",
      "content": "INITIAL DESIGN (Trace 3)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 258.42 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.43e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.4226606585515,
      "fos_buckling": 0.4242370997557406,
      "fos_yielding": 3.372947851810531,
      "deflection": 0.02434294473416767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_23": {
      "node_id": "node_23",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 315.22 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.2154674615808,
      "fos_buckling": 0.43105535354324603,
      "fos_yielding": 4.885946819675158,
      "deflection": 0.016054327077526923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007146)"
      },
      "parent_node_id": "node_22",
      "improvement_over_parent": null
    },
    "node_24": {
      "node_id": "node_24",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 372.01 kg\n  Factor of Safety: 1.12\n  Max Deflection: 8.65e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.00827426461007,
      "fos_buckling": 1.119100631029223,
      "fos_yielding": 9.68137979516761,
      "deflection": 0.00865176356346854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007146)"
      },
      "parent_node_id": "node_23",
      "improvement_over_parent": null
    },
    "node_25": {
      "node_id": "node_25",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 460.95 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.95236272514217,
      "fos_buckling": 1.3409316791175054,
      "fos_yielding": 12.018997726285027,
      "deflection": 0.007020030482504269,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_24",
      "improvement_over_parent": null
    },
    "node_26": {
      "node_id": "node_26",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.15 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1498629578881,
      "fos_buckling": 1.5374105036944588,
      "fos_yielding": 14.266525231060683,
      "deflection": 0.005955398147577058,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 218.84 kg\n  Factor of Safety: 0.89\n  Max Deflection: 3.38e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.84290773411522,
      "fos_buckling": 0.8885932023064863,
      "fos_yielding": 11.094934521270206,
      "deflection": 33806255804328.86,
      "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n\nPerformance:\n  Mass: 249.86 kg\n  Factor of Safety: 0.53\n  Max Deflection: 3.38e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.85675456431858,
      "fos_buckling": 0.5254931752219351,
      "fos_yielding": 7.451236108236126,
      "deflection": 33773562166794.676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005470)"
      },
      "parent_node_id": "node_28",
      "improvement_over_parent": null
    },
    "node_30": {
      "node_id": "node_30",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 317.16 kg\n  Factor of Safety: 0.36\n  Max Deflection: 3.97e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 317.1587745527744,
      "fos_buckling": 0.36476266593007983,
      "fos_yielding": 4.69412138155188,
      "deflection": 39689099641413.31,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_29",
      "improvement_over_parent": null
    },
    "node_31": {
      "node_id": "node_31",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0102)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 332.78 kg\n  Factor of Safety: 0.27\n  Max Deflection: 5.30e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 332.78136911545135,
      "fos_buckling": 0.2735719994475599,
      "fos_yielding": 3.5205910361639097,
      "deflection": 52971449879998.11,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.326)"
      },
      "parent_node_id": "node_30",
      "improvement_over_parent": null
    },
    "node_32": {
      "node_id": "node_32",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0102)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n\nPerformance:\n  Mass: 343.51 kg\n  Factor of Safety: 1.64\n  Max Deflection: 5.20e+13 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 343.50835084773445,
      "fos_buckling": 1.6439171433452784,
      "fos_yielding": 19.892535004312567,
      "deflection": 52032300913057.81,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005105)"
      },
      "parent_node_id": "node_31",
      "improvement_over_parent": null
    },
    "node_33": {
      "node_id": "node_33",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0102)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 412.49 kg\n  Factor of Safety: 0.85\n  Max Deflection: 8.90e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 412.48871742522044,
      "fos_buckling": 0.8548230135201538,
      "fos_yielding": 10.37434336332876,
      "deflection": 0.008904544473543517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008798)"
      },
      "parent_node_id": "node_32",
      "improvement_over_parent": null
    },
    "node_34": {
      "node_id": "node_34",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0126)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.41 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.40e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.40585747573317,
      "fos_buckling": 0.9971584711770066,
      "fos_yielding": 12.479877945216462,
      "deflection": 0.007403788049686661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_33",
      "improvement_over_parent": null
    },
    "node_35": {
      "node_id": "node_35",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0126)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 562.54 kg\n  Factor of Safety: 1.32\n  Max Deflection: 5.91e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 562.5385103683537,
      "fos_buckling": 1.3217352042284156,
      "fos_yielding": 14.057733652280527,
      "deflection": 0.005905150665976082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_34",
      "improvement_over_parent": null
    },
    "node_36": {
      "node_id": "node_36",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_35",
      "improvement_over_parent": null
    },
    "node_37": {
      "node_id": "node_37",
      "content": "INITIAL DESIGN (Trace 5)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 401.50 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 401.50280540879623,
      "fos_buckling": 0.9123146267285415,
      "fos_yielding": 11.202203037125171,
      "deflection": 0.008878844052294945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_38": {
      "node_id": "node_38",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 417.49 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.64e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 417.491053253161,
      "fos_buckling": 0.9113920871655361,
      "fos_yielding": 11.190875283308896,
      "deflection": 0.008635261238112727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.297)"
      },
      "parent_node_id": "node_37",
      "improvement_over_parent": null
    },
    "node_39": {
      "node_id": "node_39",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 459.96 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 459.9577468058574,
      "fos_buckling": 1.3493767865241053,
      "fos_yielding": 12.458307455941123,
      "deflection": 0.007092365793560445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007660)"
      },
      "parent_node_id": "node_38",
      "improvement_over_parent": null
    },
    "node_40": {
      "node_id": "node_40",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 474.65 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.77e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 474.6534693512363,
      "fos_buckling": 1.3525026017815458,
      "fos_yielding": 13.151462968653538,
      "deflection": 0.006765747616018905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.393)"
      },
      "parent_node_id": "node_39",
      "improvement_over_parent": null
    },
    "node_41": {
      "node_id": "node_41",
      "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0110)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 490.50 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.67e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 490.4959668940265,
      "fos_buckling": 1.348959933275285,
      "fos_yielding": 12.77547098437848,
      "deflection": 0.006666643947188181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.309)"
      },
      "parent_node_id": "node_40",
      "improvement_over_parent": null
    },
    "node_42": {
      "node_id": "node_42",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0124)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 549.70 kg\n  Factor of Safety: 1.48\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 549.6976132357001,
      "fos_buckling": 1.478735961079439,
      "fos_yielding": 14.341215132762342,
      "deflection": 0.005968216920615438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_41",
      "improvement_over_parent": null
    },
    "node_43": {
      "node_id": "node_43",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_42",
      "improvement_over_parent": null
    },
    "node_44": {
      "node_id": "node_44",
      "content": "INITIAL DESIGN (Trace 6)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 395.69 kg\n  Factor of Safety: 0.83\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": 395.69054000040717,
      "fos_buckling": 0.8312307225674729,
      "fos_yielding": 8.641063710235485,
      "deflection": 0.011725411575512662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_45": {
      "node_id": "node_45",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 405.92 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 405.91898002549453,
      "fos_buckling": 0.8310456409820555,
      "fos_yielding": 8.643053791782878,
      "deflection": 0.011725294734591125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.266)"
      },
      "parent_node_id": "node_44",
      "improvement_over_parent": null
    },
    "node_46": {
      "node_id": "node_46",
      "content": "MODIFICATION: Increase 4 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 408.37 kg\n  Factor of Safety: 0.83\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": 408.3684771292461,
      "fos_buckling": 0.8304299738733838,
      "fos_yielding": 8.649686720888544,
      "deflection": 0.011724905692773839,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.497)"
      },
      "parent_node_id": "node_45",
      "improvement_over_parent": null
    },
    "node_47": {
      "node_id": "node_47",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 416.76 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.7577653694205,
      "fos_buckling": 0.8446120142356925,
      "fos_yielding": 10.210731896882585,
      "deflection": 0.011216825817664504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.218)"
      },
      "parent_node_id": "node_46",
      "improvement_over_parent": null
    },
    "node_48": {
      "node_id": "node_48",
      "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 428.51 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 428.51443043571277,
      "fos_buckling": 0.844402128540742,
      "fos_yielding": 10.209016612247297,
      "deflection": 0.011225279648052542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.477)"
      },
      "parent_node_id": "node_47",
      "improvement_over_parent": null
    },
    "node_49": {
      "node_id": "node_49",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n\nPerformance:\n  Mass: 438.93 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.36e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 438.9347599322313,
      "fos_buckling": 1.2874853510431545,
      "fos_yielding": 11.440413917341987,
      "deflection": 0.007362228330678507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004948)"
      },
      "parent_node_id": "node_48",
      "improvement_over_parent": null
    },
    "node_50": {
      "node_id": "node_50",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.47 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4727792043637,
      "fos_buckling": 1.537971420979856,
      "fos_yielding": 14.276203384291893,
      "deflection": 0.005951883747748534,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_49",
      "improvement_over_parent": null
    },
    "node_51": {
      "node_id": "node_51",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_50",
      "improvement_over_parent": null
    },
    "node_52": {
      "node_id": "node_52",
      "content": "INITIAL DESIGN (Trace 7)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 382.91 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.27e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 382.90592229200035,
      "fos_buckling": 0.5133124182203007,
      "fos_yielding": 6.811982347866177,
      "deflection": 12678005898239.525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_53": {
      "node_id": "node_53",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 395.88 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.8754418015552,
      "fos_buckling": 0.4646462834586122,
      "fos_yielding": 4.98912456308421,
      "deflection": 0.01262107894237876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_52",
      "improvement_over_parent": null
    },
    "node_54": {
      "node_id": "node_54",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 479.27 kg\n  Factor of Safety: 1.00\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": 479.27067423491667,
      "fos_buckling": 0.9980358904464738,
      "fos_yielding": 12.493086502648557,
      "deflection": 0.007515968748122369,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_53",
      "improvement_over_parent": null
    },
    "node_55": {
      "node_id": "node_55",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 543.40 kg\n  Factor of Safety: 1.31\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.4033271275373,
      "fos_buckling": 1.3114447151137811,
      "fos_yielding": 14.081595558234882,
      "deflection": 0.006006701262482608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_54",
      "improvement_over_parent": null
    },
    "node_56": {
      "node_id": "node_56",
      "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0159)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 577.09 kg\n  Factor of Safety: 1.30\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 577.0872882127842,
      "fos_buckling": 1.3002933535479586,
      "fos_yielding": 13.961858171150341,
      "deflection": 0.00569831150810052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.466)"
      },
      "parent_node_id": "node_55",
      "improvement_over_parent": null
    },
    "node_57": {
      "node_id": "node_57",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_56",
      "improvement_over_parent": null
    },
    "node_58": {
      "node_id": "node_58",
      "content": "INITIAL DESIGN (Trace 8)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0037)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n\nPerformance:\n  Mass: 222.96 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.9578827075647,
      "fos_buckling": 0.25265239284542385,
      "fos_yielding": 3.6849688935021323,
      "deflection": 0.02302651133402061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_59": {
      "node_id": "node_59",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0037)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n\nPerformance:\n  Mass: 250.99 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.98716546154498,
      "fos_buckling": 0.25219978763784445,
      "fos_yielding": 3.6783675861003555,
      "deflection": 0.02124885016953978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004916)"
      },
      "parent_node_id": "node_58",
      "improvement_over_parent": null
    },
    "node_60": {
      "node_id": "node_60",
      "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0037)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n\nPerformance:\n  Mass: 254.07 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.12e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.07184809042087,
      "fos_buckling": 0.25219978763784434,
      "fos_yielding": 3.6783675861003537,
      "deflection": 0.021200427473521976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.590)"
      },
      "parent_node_id": "node_59",
      "improvement_over_parent": null
    },
    "node_61": {
      "node_id": "node_61",
      "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0031)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0037)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n\nPerformance:\n  Mass: 270.26 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 270.2560567377842,
      "fos_buckling": 0.25193918947920435,
      "fos_yielding": 3.674566727151514,
      "deflection": 0.019587968660530187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.462)"
      },
      "parent_node_id": "node_60",
      "improvement_over_parent": null
    },
    "node_62": {
      "node_id": "node_62",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0058)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0044)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0093)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n\nPerformance:\n  Mass: 316.63 kg\n  Factor of Safety: 0.29\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 316.6321162418442,
      "fos_buckling": 0.29233238987178267,
      "fos_yielding": 4.310204754165472,
      "deflection": 0.01674825120641887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_61",
      "improvement_over_parent": null
    },
    "node_63": {
      "node_id": "node_63",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0068)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0110)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n\nPerformance:\n  Mass: 370.84 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.84302407005777,
      "fos_buckling": 0.3385089822095567,
      "fos_yielding": 5.05614278466506,
      "deflection": 0.014328675207048487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_62",
      "improvement_over_parent": null
    },
    "node_64": {
      "node_id": "node_64",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0068)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0110)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 438.30 kg\n  Factor of Safety: 0.99\n  Max Deflection: 7.54e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 438.30104240712626,
      "fos_buckling": 0.9908492608908582,
      "fos_yielding": 12.263510350658787,
      "deflection": 0.00753689708931675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008589)"
      },
      "parent_node_id": "node_63",
      "improvement_over_parent": null
    },
    "node_65": {
      "node_id": "node_65",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0086)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0139)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 541.14 kg\n  Factor of Safety: 1.20\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.143174057868,
      "fos_buckling": 1.1985464417353335,
      "fos_yielding": 15.185690521158921,
      "deflection": 0.006132597466974579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_64",
      "improvement_over_parent": null
    },
    "node_66": {
      "node_id": "node_66",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_65",
      "improvement_over_parent": null
    },
    "node_67": {
      "node_id": "node_67",
      "content": "INITIAL DESIGN (Trace 9)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 407.71 kg\n  Factor of Safety: 0.87\n  Max Deflection: 8.78e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.707584499119,
      "fos_buckling": 0.8714810551482602,
      "fos_yielding": 10.613434241237892,
      "deflection": 0.008778191481093187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_68": {
      "node_id": "node_68",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 452.75 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 452.75329497395575,
      "fos_buckling": 1.3073527668636995,
      "fos_yielding": 12.343109650354306,
      "deflection": 0.0070942370601201855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006476)"
      },
      "parent_node_id": "node_67",
      "improvement_over_parent": null
    },
    "node_69": {
      "node_id": "node_69",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 535.35 kg\n  Factor of Safety: 1.50\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.353052452401,
      "fos_buckling": 1.496865572480856,
      "fos_yielding": 14.611118837276276,
      "deflection": 0.006030099395753284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_68",
      "improvement_over_parent": null
    },
    "node_70": {
      "node_id": "node_70",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 551.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.85e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 551.6600914261368,
      "fos_buckling": 1.5421291988213632,
      "fos_yielding": 15.064635789678944,
      "deflection": 0.005848688144416563,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.220)"
      },
      "parent_node_id": "node_69",
      "improvement_over_parent": null
    },
    "node_71": {
      "node_id": "node_71",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_70",
      "improvement_over_parent": null
    },
    "node_72": {
      "node_id": "node_72",
      "content": "INITIAL DESIGN (Trace 10)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 477.76 kg\n  Factor of Safety: 0.94\n  Max Deflection: 9.95e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.75826554225273,
      "fos_buckling": 0.9351294199803226,
      "fos_yielding": 11.513942713984813,
      "deflection": 0.009951144517036563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_73": {
      "node_id": "node_73",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n\nPerformance:\n  Mass: 489.53 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 489.530627550354,
      "fos_buckling": 1.3960715132393913,
      "fos_yielding": 13.179895989630383,
      "deflection": 0.006598357406575074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005646)"
      },
      "parent_node_id": "node_72",
      "improvement_over_parent": null
    },
    "node_74": {
      "node_id": "node_74",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n\nPerformance:\n  Mass: 495.84 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.54e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 495.84395334728373,
      "fos_buckling": 1.423278863215414,
      "fos_yielding": 12.938894956394947,
      "deflection": 0.0065397878195295875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.186)"
      },
      "parent_node_id": "node_73",
      "improvement_over_parent": null
    },
    "node_75": {
      "node_id": "node_75",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.374638126659,
      "fos_buckling": 1.537910781528731,
      "fos_yielding": 14.272949625712089,
      "deflection": 0.005953028212207928,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_74",
      "improvement_over_parent": null
    },
    "node_76": {
      "node_id": "node_76",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_75",
      "improvement_over_parent": null
    },
    "node_77": {
      "node_id": "node_77",
      "content": "INITIAL DESIGN (Trace 11)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 447.13 kg\n  Factor of Safety: 0.46\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": 447.1315738748193,
      "fos_buckling": 0.46037759654586036,
      "fos_yielding": 7.091658373806184,
      "deflection": 0.012019379839766094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_78": {
      "node_id": "node_78",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 459.44 kg\n  Factor of Safety: 0.59\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": 459.44440074157717,
      "fos_buckling": 0.5929322999872138,
      "fos_yielding": 7.075386314608915,
      "deflection": 0.011084648016971864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.383)"
      },
      "parent_node_id": "node_77",
      "improvement_over_parent": null
    },
    "node_79": {
      "node_id": "node_79",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 542.84 kg\n  Factor of Safety: 1.23\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.8396331749386,
      "fos_buckling": 1.2284125052537567,
      "fos_yielding": 13.061908640952604,
      "deflection": 0.006021819449947278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_78",
      "improvement_over_parent": null
    },
    "node_80": {
      "node_id": "node_80",
      "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2684649027342,
      "fos_buckling": 1.5376178574310928,
      "fos_yielding": 14.269923698789821,
      "deflection": 0.005954091590379241,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.605)"
      },
      "parent_node_id": "node_79",
      "improvement_over_parent": null
    },
    "node_81": {
      "node_id": "node_81",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_80",
      "improvement_over_parent": null
    },
    "node_82": {
      "node_id": "node_82",
      "content": "INITIAL DESIGN (Trace 12)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 324.97 kg\n  Factor of Safety: 0.97\n  Max Deflection: 9.78e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 324.97015759543825,
      "fos_buckling": 0.9674387443144262,
      "fos_yielding": 9.352435000819968,
      "deflection": 0.009775064095871913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_83": {
      "node_id": "node_83",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 423.46 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.46071087579173,
      "fos_buckling": 1.214085095571974,
      "fos_yielding": 12.195777839509429,
      "deflection": 0.007546778118727382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_82",
      "improvement_over_parent": null
    },
    "node_84": {
      "node_id": "node_84",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 525.18 kg\n  Factor of Safety: 1.45\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": 525.1823485217236,
      "fos_buckling": 1.4468640433942825,
      "fos_yielding": 15.13503389077945,
      "deflection": 0.00612276495439125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_83",
      "improvement_over_parent": null
    },
    "node_85": {
      "node_id": "node_85",
      "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.84 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.8403622598431,
      "fos_buckling": 1.5388728437286283,
      "fos_yielding": 14.283192930244521,
      "deflection": 0.005948257391770037,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.558)"
      },
      "parent_node_id": "node_84",
      "improvement_over_parent": null
    },
    "node_86": {
      "node_id": "node_86",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_85",
      "improvement_over_parent": null
    },
    "node_87": {
      "node_id": "node_87",
      "content": "INITIAL DESIGN (Trace 13)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_88": {
      "node_id": "node_88",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.68 kg\n  Factor of Safety: 1.00\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": 498.67645043099105,
      "fos_buckling": 0.996997498588773,
      "fos_yielding": 12.480088253361052,
      "deflection": 0.007462827750885376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_87",
      "improvement_over_parent": null
    },
    "node_89": {
      "node_id": "node_89",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.279214891494,
      "fos_buckling": 1.5377003541588654,
      "fos_yielding": 14.269864165691677,
      "deflection": 0.005954037788644468,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_88",
      "improvement_over_parent": null
    },
    "node_90": {
      "node_id": "node_90",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_89",
      "improvement_over_parent": null
    },
    "node_91": {
      "node_id": "node_91",
      "content": "INITIAL DESIGN (Trace 14)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.68 kg\n  Factor of Safety: 1.00\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": 498.67645043099105,
      "fos_buckling": 0.9969974985887726,
      "fos_yielding": 12.480088253361053,
      "deflection": 0.0074628277508853764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_91",
      "improvement_over_parent": null
    },
    "node_93": {
      "node_id": "node_93",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.279214891494,
      "fos_buckling": 1.5377003541588654,
      "fos_yielding": 14.269864165691667,
      "deflection": 0.005954037788644472,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_92",
      "improvement_over_parent": null
    },
    "node_94": {
      "node_id": "node_94",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_93",
      "improvement_over_parent": null
    },
    "node_95": {
      "node_id": "node_95",
      "content": "INITIAL DESIGN (Trace 15)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 257.23 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.86e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.23383410114826,
      "fos_buckling": 0.4153941947214808,
      "fos_yielding": 4.686130693777797,
      "deflection": 0.018591691995069676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_96": {
      "node_id": "node_96",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 311.49 kg\n  Factor of Safety: 0.70\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": 311.4894799883582,
      "fos_buckling": 0.697487797465055,
      "fos_yielding": 8.213348070955057,
      "deflection": 0.011343669858045581,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006808)"
      },
      "parent_node_id": "node_95",
      "improvement_over_parent": null
    },
    "node_97": {
      "node_id": "node_97",
      "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 313.66 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 313.6613662670402,
      "fos_buckling": 0.697487797465055,
      "fos_yielding": 8.213348070955057,
      "deflection": 0.011343669858045581,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.560)"
      },
      "parent_node_id": "node_96",
      "improvement_over_parent": null
    },
    "node_98": {
      "node_id": "node_98",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 373.67 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.56e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.6734178753971,
      "fos_buckling": 0.8103366530284996,
      "fos_yielding": 9.74803657732568,
      "deflection": 0.009557568519646155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_97",
      "improvement_over_parent": null
    },
    "node_99": {
      "node_id": "node_99",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 433.88 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 433.8828340773079,
      "fos_buckling": 0.9170871964778714,
      "fos_yielding": 11.276230587175936,
      "deflection": 0.008262118626157177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_98",
      "improvement_over_parent": null
    },
    "node_100": {
      "node_id": "node_100",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.83 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.83359659097806,
      "fos_buckling": 0.9991507304534956,
      "fos_yielding": 12.510234680398353,
      "deflection": 0.00744701953217318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_99",
      "improvement_over_parent": null
    },
    "node_101": {
      "node_id": "node_101",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.97 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.9662494835986,
      "fos_buckling": 1.5391357305412274,
      "fos_yielding": 14.292671373685213,
      "deflection": 0.005946367980908641,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_100",
      "improvement_over_parent": null
    },
    "node_102": {
      "node_id": "node_102",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_101",
      "improvement_over_parent": null
    },
    "node_103": {
      "node_id": "node_103",
      "content": "INITIAL DESIGN (Trace 16)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 518.17 kg\n  Factor of Safety: 1.08\n  Max Deflection: 6.32e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 518.1651801892724,
      "fos_buckling": 1.0756281363128426,
      "fos_yielding": 13.586784236539634,
      "deflection": 0.006317997885230942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_104": {
      "node_id": "node_104",
      "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 526.95 kg\n  Factor of Safety: 1.30\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 526.945796830082,
      "fos_buckling": 1.3042394896717524,
      "fos_yielding": 12.891868058569768,
      "deflection": 0.006176279719036777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.429)"
      },
      "parent_node_id": "node_103",
      "improvement_over_parent": null
    },
    "node_105": {
      "node_id": "node_105",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 529.09 kg\n  Factor of Safety: 1.28\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": 529.0866240880431,
      "fos_buckling": 1.278261617587185,
      "fos_yielding": 15.121818430293352,
      "deflection": 0.006117322395760066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.217)"
      },
      "parent_node_id": "node_104",
      "improvement_over_parent": null
    },
    "node_106": {
      "node_id": "node_106",
      "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.31 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.306740106764,
      "fos_buckling": 1.5377425419643598,
      "fos_yielding": 14.2762243344487,
      "deflection": 0.005953713059071657,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.621)"
      },
      "parent_node_id": "node_105",
      "improvement_over_parent": null
    },
    "node_107": {
      "node_id": "node_107",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_106",
      "improvement_over_parent": null
    },
    "node_108": {
      "node_id": "node_108",
      "content": "INITIAL DESIGN (Trace 17)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 380.24 kg\n  Factor of Safety: 1.10\n  Max Deflection: 8.38e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 380.23977233989933,
      "fos_buckling": 1.1031074187126075,
      "fos_yielding": 11.08603678382071,
      "deflection": 0.008382419951887076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_109": {
      "node_id": "node_109",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 423.11 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.10826463271354,
      "fos_buckling": 1.2073589641530207,
      "fos_yielding": 12.338987615055736,
      "deflection": 0.007552749800708793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_108",
      "improvement_over_parent": null
    },
    "node_110": {
      "node_id": "node_110",
      "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 442.60 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.30e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 442.6025742134448,
      "fos_buckling": 1.2965758853674036,
      "fos_yielding": 11.536112513823097,
      "deflection": 0.007302960741628029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.645)"
      },
      "parent_node_id": "node_109",
      "improvement_over_parent": null
    },
    "node_111": {
      "node_id": "node_111",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 493.11 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 493.10600227908867,
      "fos_buckling": 1.4169131765390381,
      "fos_yielding": 12.86637497457368,
      "deflection": 0.006575002673179446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_110",
      "improvement_over_parent": null
    },
    "node_112": {
      "node_id": "node_112",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4996368352415,
      "fos_buckling": 1.5381887900829114,
      "fos_yielding": 14.275904421347901,
      "deflection": 0.005951699921006786,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_111",
      "improvement_over_parent": null
    },
    "node_113": {
      "node_id": "node_113",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_112",
      "improvement_over_parent": null
    },
    "node_114": {
      "node_id": "node_114",
      "content": "INITIAL DESIGN (Trace 18)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 246.64 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.19e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.64031981285584,
      "fos_buckling": 0.24671559016474073,
      "fos_yielding": 3.1240997658102625,
      "deflection": 118986113763049.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_115": {
      "node_id": "node_115",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n\nPerformance:\n  Mass: 281.57 kg\n  Factor of Safety: 0.29\n  Max Deflection: 5.06e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 281.5699286406007,
      "fos_buckling": 0.2918036251366828,
      "fos_yielding": 3.473798228865035,
      "deflection": 50556582372306.27,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006207)"
      },
      "parent_node_id": "node_114",
      "improvement_over_parent": null
    },
    "node_116": {
      "node_id": "node_116",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 315.82 kg\n  Factor of Safety: 0.08\n  Max Deflection: 8.97e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.8236350302037,
      "fos_buckling": 0.08056604325102658,
      "fos_yielding": 0.8684495572162588,
      "deflection": 89675184249847.83,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_115",
      "improvement_over_parent": null
    },
    "node_117": {
      "node_id": "node_117",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 368.60 kg\n  Factor of Safety: 0.43\n  Max Deflection: 3.87e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 368.60034294722084,
      "fos_buckling": 0.432775844916434,
      "fos_yielding": 4.878488000941133,
      "deflection": 0.03867442230329743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007673)"
      },
      "parent_node_id": "node_116",
      "improvement_over_parent": null
    },
    "node_118": {
      "node_id": "node_118",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 447.85 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.19e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.8490471077097,
      "fos_buckling": 0.5085001441762317,
      "fos_yielding": 5.973119386196013,
      "deflection": 0.03189147606081289,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_117",
      "improvement_over_parent": null
    },
    "node_119": {
      "node_id": "node_119",
      "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0070)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 450.32 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.17e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 450.31602484691723,
      "fos_buckling": 0.5085001441762316,
      "fos_yielding": 5.973119386196013,
      "deflection": 0.03168847524324715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.290)"
      },
      "parent_node_id": "node_118",
      "improvement_over_parent": null
    },
    "node_120": {
      "node_id": "node_120",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0070)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.71 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.7112572802787,
      "fos_buckling": 1.0109810569866082,
      "fos_yielding": 12.654910825345464,
      "deflection": 0.009050689217701616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_119",
      "improvement_over_parent": null
    },
    "node_121": {
      "node_id": "node_121",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0070)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.68 kg\n  Factor of Safety: 1.44\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.6807767898335,
      "fos_buckling": 1.4381779659229463,
      "fos_yielding": 14.300361759101543,
      "deflection": 0.00596102684704932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_120",
      "improvement_over_parent": null
    },
    "node_122": {
      "node_id": "node_122",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_121",
      "improvement_over_parent": null
    },
    "node_123": {
      "node_id": "node_123",
      "content": "INITIAL DESIGN (Trace 19)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 300.67 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 300.6682379554586,
      "fos_buckling": 0.8648786962676839,
      "fos_yielding": 9.44599576534197,
      "deflection": 0.010492335833491412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_124": {
      "node_id": "node_124",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 308.34 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 308.3355383622911,
      "fos_buckling": 0.9157104475130879,
      "fos_yielding": 9.059136534090136,
      "deflection": 0.010299610285685136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.393)"
      },
      "parent_node_id": "node_123",
      "improvement_over_parent": null
    },
    "node_125": {
      "node_id": "node_125",
      "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 321.86 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 321.8640218929404,
      "fos_buckling": 0.861086535304762,
      "fos_yielding": 8.535117654394444,
      "deflection": 0.00999947638621887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.582)"
      },
      "parent_node_id": "node_124",
      "improvement_over_parent": null
    },
    "node_126": {
      "node_id": "node_126",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 393.16 kg\n  Factor of Safety: 1.03\n  Max Deflection: 8.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 393.161476793275,
      "fos_buckling": 1.0279997905734182,
      "fos_yielding": 10.441106423249995,
      "deflection": 0.008221744674462416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_125",
      "improvement_over_parent": null
    },
    "node_127": {
      "node_id": "node_127",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 445.39 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.3923695407626,
      "fos_buckling": 1.1450787515055947,
      "fos_yielding": 11.840846036560409,
      "deflection": 0.007280597226097092,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_126",
      "improvement_over_parent": null
    },
    "node_128": {
      "node_id": "node_128",
      "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 447.55 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.54528583925867,
      "fos_buckling": 1.3086010281292464,
      "fos_yielding": 11.665715973106495,
      "deflection": 0.007224449650794523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.403)"
      },
      "parent_node_id": "node_127",
      "improvement_over_parent": null
    },
    "node_129": {
      "node_id": "node_129",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1786921883568,
      "fos_buckling": 1.537484413502806,
      "fos_yielding": 14.266863404134936,
      "deflection": 0.0059550704252384805,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_128",
      "improvement_over_parent": null
    },
    "node_130": {
      "node_id": "node_130",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_129",
      "improvement_over_parent": null
    },
    "node_131": {
      "node_id": "node_131",
      "content": "INITIAL DESIGN (Trace 20)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n\nPerformance:\n  Mass: 206.30 kg\n  Factor of Safety: 0.14\n  Max Deflection: 5.69e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.29634114684174,
      "fos_buckling": 0.13860501138246276,
      "fos_yielding": 1.4853122100488885,
      "deflection": 56893171317103.03,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_132": {
      "node_id": "node_132",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 239.03 kg\n  Factor of Safety: 0.93\n  Max Deflection: 2.18e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.0334445307499,
      "fos_buckling": 0.9301281603395432,
      "fos_yielding": 13.89519291546014,
      "deflection": 21765985775086.555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_131",
      "improvement_over_parent": null
    },
    "node_133": {
      "node_id": "node_133",
      "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 252.20 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.69e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.19565470336926,
      "fos_buckling": 0.8874195559234828,
      "fos_yielding": 7.235785907429725,
      "deflection": 16928502571236.197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.567)"
      },
      "parent_node_id": "node_132",
      "improvement_over_parent": null
    },
    "node_134": {
      "node_id": "node_134",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 315.59 kg\n  Factor of Safety: 1.71\n  Max Deflection: 1.39e+13 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 315.59026681818324,
      "fos_buckling": 1.7127280544546526,
      "fos_yielding": 19.986543130730592,
      "deflection": 13866939274396.225,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_133",
      "improvement_over_parent": null
    },
    "node_135": {
      "node_id": "node_135",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 398.99 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.41e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.9854992515447,
      "fos_buckling": 0.8604707519965751,
      "fos_yielding": 7.235785907429725,
      "deflection": 14079897288787.223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_134",
      "improvement_over_parent": null
    },
    "node_136": {
      "node_id": "node_136",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.12 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.11815214416526,
      "fos_buckling": 0.5934008260943117,
      "fos_yielding": 7.080399722019554,
      "deflection": 0.011025660551960598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_135",
      "improvement_over_parent": null
    },
    "node_137": {
      "node_id": "node_137",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5133845775267,
      "fos_buckling": 1.5376902628203382,
      "fos_yielding": 14.277504128777856,
      "deflection": 0.005951606268528887,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_136",
      "improvement_over_parent": null
    },
    "node_138": {
      "node_id": "node_138",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_137",
      "improvement_over_parent": null
    },
    "node_139": {
      "node_id": "node_139",
      "content": "INITIAL DESIGN (Trace 21)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 279.59 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 279.5930181688272,
      "fos_buckling": 0.3882274914218723,
      "fos_yielding": 4.3485275542295625,
      "deflection": 0.018060838771831234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_140": {
      "node_id": "node_140",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 361.51 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.50606981391655,
      "fos_buckling": 0.4845190106289581,
      "fos_yielding": 5.57888913746719,
      "deflection": 0.014037721842831767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_139",
      "improvement_over_parent": null
    },
    "node_141": {
      "node_id": "node_141",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 462.62 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.6166714196786,
      "fos_buckling": 0.5927875552456229,
      "fos_yielding": 7.07151792782714,
      "deflection": 0.011036408861232597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_140",
      "improvement_over_parent": null
    },
    "node_142": {
      "node_id": "node_142",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.01 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.01190385304,
      "fos_buckling": 1.5370177369877354,
      "fos_yielding": 14.263068585709165,
      "deflection": 0.005956777911366842,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_141",
      "improvement_over_parent": null
    },
    "node_143": {
      "node_id": "node_143",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_142",
      "improvement_over_parent": null
    },
    "node_144": {
      "node_id": "node_144",
      "content": "INITIAL DESIGN (Trace 22)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 435.41 kg\n  Factor of Safety: 0.59\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": 435.41206630526233,
      "fos_buckling": 0.594262378668472,
      "fos_yielding": 5.003390426158691,
      "deflection": 0.011750160849923048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 518.81 kg\n  Factor of Safety: 1.20\n  Max Deflection: 6.44e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 518.8072987386238,
      "fos_buckling": 1.2048349689934408,
      "fos_yielding": 9.501666630669519,
      "deflection": 0.006435510740205621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_144",
      "improvement_over_parent": null
    },
    "node_146": {
      "node_id": "node_146",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 529.02 kg\n  Factor of Safety: 1.17\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": 529.0230609978939,
      "fos_buckling": 1.1735595723054002,
      "fos_yielding": 9.255020076809972,
      "deflection": 0.0063638325514380365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.300)"
      },
      "parent_node_id": "node_145",
      "improvement_over_parent": null
    },
    "node_147": {
      "node_id": "node_147",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 530.79 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.78692572006,
      "fos_buckling": 1.3525563762031267,
      "fos_yielding": 10.917787683962036,
      "deflection": 0.0062695681588824555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.230)"
      },
      "parent_node_id": "node_146",
      "improvement_over_parent": null
    },
    "node_148": {
      "node_id": "node_148",
      "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.25 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.2499656800402,
      "fos_buckling": 1.4054412621232184,
      "fos_yielding": 11.344672630367702,
      "deflection": 0.006053919608631883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.277)"
      },
      "parent_node_id": "node_147",
      "improvement_over_parent": null
    },
    "node_149": {
      "node_id": "node_149",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2489918865858,
      "fos_buckling": 1.537714754677799,
      "fos_yielding": 14.27389999619417,
      "deflection": 0.005954352748399665,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.330)"
      },
      "parent_node_id": "node_148",
      "improvement_over_parent": null
    },
    "node_150": {
      "node_id": "node_150",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_149",
      "improvement_over_parent": null
    },
    "node_151": {
      "node_id": "node_151",
      "content": "INITIAL DESIGN (Trace 23)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 374.99 kg\n  Factor of Safety: 0.60\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": 374.99435705023234,
      "fos_buckling": 0.5963600990299583,
      "fos_yielding": 7.114208750244101,
      "deflection": 0.013171437293408212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_152": {
      "node_id": "node_152",
      "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 394.99 kg\n  Factor of Safety: 0.60\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": 394.9878728733154,
      "fos_buckling": 0.5956048772605341,
      "fos_yielding": 7.105335843643225,
      "deflection": 0.012194256515591525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.524)"
      },
      "parent_node_id": "node_151",
      "improvement_over_parent": null
    },
    "node_153": {
      "node_id": "node_153",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n\nPerformance:\n  Mass: 424.69 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.68618179619614,
      "fos_buckling": 0.5944865973074206,
      "fos_yielding": 7.092196833869838,
      "deflection": 0.011148629625493204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005225)"
      },
      "parent_node_id": "node_152",
      "improvement_over_parent": null
    },
    "node_154": {
      "node_id": "node_154",
      "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0144)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n\nPerformance:\n  Mass: 451.40 kg\n  Factor of Safety: 0.62\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": 451.3990075881137,
      "fos_buckling": 0.623721305496324,
      "fos_yielding": 7.0569835525134055,
      "deflection": 0.010197912593703257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.661)"
      },
      "parent_node_id": "node_153",
      "improvement_over_parent": null
    },
    "node_155": {
      "node_id": "node_155",
      "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0144)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n\nPerformance:\n  Mass: 471.68 kg\n  Factor of Safety: 0.62\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": 471.6757180421969,
      "fos_buckling": 0.6229387278093738,
      "fos_yielding": 7.048129216744039,
      "deflection": 0.010208584032769445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.534)"
      },
      "parent_node_id": "node_154",
      "improvement_over_parent": null
    },
    "node_156": {
      "node_id": "node_156",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0144)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 555.07 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 555.0709504755583,
      "fos_buckling": 1.265136750564848,
      "fos_yielding": 14.478782264414901,
      "deflection": 0.006004401581548248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_155",
      "improvement_over_parent": null
    },
    "node_157": {
      "node_id": "node_157",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_156",
      "improvement_over_parent": null
    },
    "node_158": {
      "node_id": "node_158",
      "content": "INITIAL DESIGN (Trace 24)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 282.11 kg\n  Factor of Safety: 0.84\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": 282.1094421332106,
      "fos_buckling": 0.8429818117857589,
      "fos_yielding": 7.496210656864455,
      "deflection": 0.011512386352617612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_159": {
      "node_id": "node_159",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 287.32 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 287.3169644621053,
      "fos_buckling": 0.9470910342622224,
      "fos_yielding": 7.686247013934282,
      "deflection": 0.011365929643422703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.253)"
      },
      "parent_node_id": "node_158",
      "improvement_over_parent": null
    },
    "node_160": {
      "node_id": "node_160",
      "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 296.41 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 296.41049541688216,
      "fos_buckling": 0.9067282993522936,
      "fos_yielding": 7.49173224852813,
      "deflection": 0.01108651596839603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.353)"
      },
      "parent_node_id": "node_159",
      "improvement_over_parent": null
    },
    "node_161": {
      "node_id": "node_161",
      "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 307.58 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 307.58290343980167,
      "fos_buckling": 0.9476154946395028,
      "fos_yielding": 7.993714067717464,
      "deflection": 0.010423052978811288,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.495)"
      },
      "parent_node_id": "node_160",
      "improvement_over_parent": null
    },
    "node_162": {
      "node_id": "node_162",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 376.80 kg\n  Factor of Safety: 1.13\n  Max Deflection: 8.54e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.79946494706525,
      "fos_buckling": 1.1315025934633904,
      "fos_yielding": 9.807078872542604,
      "deflection": 0.00854425779489705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_161",
      "improvement_over_parent": null
    },
    "node_163": {
      "node_id": "node_163",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 440.24 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.23979359500834,
      "fos_buckling": 1.2908226218777732,
      "fos_yielding": 11.473841338709908,
      "deflection": 0.007341141131615498,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_162",
      "improvement_over_parent": null
    },
    "node_164": {
      "node_id": "node_164",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.10 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0982390086505,
      "fos_buckling": 1.5373128362653372,
      "fos_yielding": 14.265166880147142,
      "deflection": 0.005955957540651425,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_163",
      "improvement_over_parent": null
    },
    "node_165": {
      "node_id": "node_165",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_164",
      "improvement_over_parent": null
    },
    "node_166": {
      "node_id": "node_166",
      "content": "INITIAL DESIGN (Trace 25)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 241.49 kg\n  Factor of Safety: 0.11\n  Max Deflection: 9.27e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.49207016380217,
      "fos_buckling": 0.11347711829836482,
      "fos_yielding": 0.9044732384287154,
      "deflection": 92706609517675.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_167": {
      "node_id": "node_167",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 289.68 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.39e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 289.67578732449766,
      "fos_buckling": 0.44314472865573784,
      "fos_yielding": 3.6178929537148625,
      "deflection": 23928751940056.703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_166",
      "improvement_over_parent": null
    },
    "node_168": {
      "node_id": "node_168",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 347.22 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.97e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 347.21755122738045,
      "fos_buckling": 1.208463438803968,
      "fos_yielding": 3.6178929537148616,
      "deflection": 19728760277276.17,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_167",
      "improvement_over_parent": null
    },
    "node_169": {
      "node_id": "node_169",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 348.29 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.97e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 348.2923219308394,
      "fos_buckling": 1.208463438803968,
      "fos_yielding": 3.6178929537148616,
      "deflection": 19728760277276.17,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.200)"
      },
      "parent_node_id": "node_168",
      "improvement_over_parent": null
    },
    "node_170": {
      "node_id": "node_170",
      "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 351.13 kg\n  Factor of Safety: 1.21\n  Max Deflection: 1.97e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.1281599766007,
      "fos_buckling": 1.208463438803968,
      "fos_yielding": 3.6178929537148616,
      "deflection": 19728760277276.17,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.458)"
      },
      "parent_node_id": "node_169",
      "improvement_over_parent": null
    },
    "node_171": {
      "node_id": "node_171",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 398.73 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.7309244371037,
      "fos_buckling": 0.5954976971551826,
      "fos_yielding": 7.103523113834299,
      "deflection": 0.012199564959577419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_170",
      "improvement_over_parent": null
    },
    "node_172": {
      "node_id": "node_172",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.86 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8635773297243,
      "fos_buckling": 0.5930890531236822,
      "fos_yielding": 7.075224326197408,
      "deflection": 0.011030446744865358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_171",
      "improvement_over_parent": null
    },
    "node_173": {
      "node_id": "node_173",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2588097630858,
      "fos_buckling": 1.5375985194778794,
      "fos_yielding": 14.27010565492434,
      "deflection": 0.0059542932990607825,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_172",
      "improvement_over_parent": null
    },
    "node_174": {
      "node_id": "node_174",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_173",
      "improvement_over_parent": null
    },
    "node_175": {
      "node_id": "node_175",
      "content": "INITIAL DESIGN (Trace 26)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 351.02 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.0172177487458,
      "fos_buckling": 0.4467792430868987,
      "fos_yielding": 4.76805046190007,
      "deflection": 0.015136837812994549,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_176": {
      "node_id": "node_176",
      "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 359.66 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 359.66098023695633,
      "fos_buckling": 0.44605251389679107,
      "fos_yielding": 4.760294771580556,
      "deflection": 0.014280410085555348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.224)"
      },
      "parent_node_id": "node_175",
      "improvement_over_parent": null
    },
    "node_177": {
      "node_id": "node_177",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 461.59 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.58855534179804,
      "fos_buckling": 0.5503878145238194,
      "fos_yielding": 6.071813990605566,
      "deflection": 0.01119271882436219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_176",
      "improvement_over_parent": null
    },
    "node_178": {
      "node_id": "node_178",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.98 kg\n  Factor of Safety: 1.53\n  Max Deflection: 5.97e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.9837877751595,
      "fos_buckling": 1.5263779086400326,
      "fos_yielding": 14.367003786378143,
      "deflection": 0.005974394058694307,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_177",
      "improvement_over_parent": null
    },
    "node_179": {
      "node_id": "node_179",
      "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.35 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3538625898992,
      "fos_buckling": 1.5378008727939994,
      "fos_yielding": 14.26991567202231,
      "deflection": 0.0059534204092116984,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.182)"
      },
      "parent_node_id": "node_178",
      "improvement_over_parent": null
    },
    "node_180": {
      "node_id": "node_180",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_179",
      "improvement_over_parent": null
    },
    "node_181": {
      "node_id": "node_181",
      "content": "INITIAL DESIGN (Trace 27)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 421.43 kg\n  Factor of Safety: 0.87\n  Max Deflection: 9.64e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.42839899236697,
      "fos_buckling": 0.8682545129905808,
      "fos_yielding": 11.204541155443598,
      "deflection": 0.009640440138719541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_182": {
      "node_id": "node_182",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 485.56 kg\n  Factor of Safety: 0.86\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.5610518849876,
      "fos_buckling": 0.8647476513913135,
      "fos_yielding": 11.159286250887911,
      "deflection": 0.007923480893606564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_181",
      "improvement_over_parent": null
    },
    "node_183": {
      "node_id": "node_183",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.6790437629935,
      "fos_buckling": 0.9970227476372535,
      "fos_yielding": 12.480086216743409,
      "deflection": 0.007462759069742238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.205)"
      },
      "parent_node_id": "node_182",
      "improvement_over_parent": null
    },
    "node_184": {
      "node_id": "node_184",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2818082234965,
      "fos_buckling": 1.5376965559861022,
      "fos_yielding": 14.26994362627407,
      "deflection": 0.005954006093740721,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_183",
      "improvement_over_parent": null
    },
    "node_185": {
      "node_id": "node_185",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_184",
      "improvement_over_parent": null
    },
    "node_186": {
      "node_id": "node_186",
      "content": "INITIAL DESIGN (Trace 28)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\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_187": {
      "node_id": "node_187",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 372.63 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.6328729220651,
      "fos_buckling": 0.8099252151317027,
      "fos_yielding": 6.979056671483571,
      "deflection": 0.010620703740303224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007189)"
      },
      "parent_node_id": "node_186",
      "improvement_over_parent": null
    },
    "node_188": {
      "node_id": "node_188",
      "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 386.26 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 386.2604145733192,
      "fos_buckling": 0.8092257916755455,
      "fos_yielding": 9.74058489044627,
      "deflection": 0.009567502497973206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.425)"
      },
      "parent_node_id": "node_187",
      "improvement_over_parent": null
    },
    "node_189": {
      "node_id": "node_189",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 423.13 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.1271078745368,
      "fos_buckling": 1.2484692923482867,
      "fos_yielding": 11.024025981342179,
      "deflection": 0.0076299534937115015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006576)"
      },
      "parent_node_id": "node_188",
      "improvement_over_parent": null
    },
    "node_190": {
      "node_id": "node_190",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.10 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1024701616133,
      "fos_buckling": 1.537040353905007,
      "fos_yielding": 14.265596274485729,
      "deflection": 0.005955768559447529,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_189",
      "improvement_over_parent": null
    },
    "node_191": {
      "node_id": "node_191",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_190",
      "improvement_over_parent": null
    },
    "node_192": {
      "node_id": "node_192",
      "content": "INITIAL DESIGN (Trace 29)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 413.66 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 413.6639383106901,
      "fos_buckling": 0.793459373513081,
      "fos_yielding": 9.686144040319531,
      "deflection": 0.009429041524319627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_193": {
      "node_id": "node_193",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 457.69 kg\n  Factor of Safety: 0.86\n  Max Deflection: 8.54e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 457.6879972307565,
      "fos_buckling": 0.8639846824184765,
      "fos_yielding": 10.69614111272087,
      "deflection": 0.008540149129282242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_192",
      "improvement_over_parent": null
    },
    "node_194": {
      "node_id": "node_194",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 471.02 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.02096569381047,
      "fos_buckling": 0.9987383734852102,
      "fos_yielding": 10.687151431637421,
      "deflection": 0.008071750486617187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.209)"
      },
      "parent_node_id": "node_193",
      "improvement_over_parent": null
    },
    "node_195": {
      "node_id": "node_195",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 480.07 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.07399459576766,
      "fos_buckling": 0.9981687496085386,
      "fos_yielding": 12.508893026046131,
      "deflection": 0.007719527105214183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.188)"
      },
      "parent_node_id": "node_194",
      "improvement_over_parent": null
    },
    "node_196": {
      "node_id": "node_196",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 527.68 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.23e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 527.6767590562706,
      "fos_buckling": 1.3152394863199675,
      "fos_yielding": 13.604521213186707,
      "deflection": 0.006232793785097576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_195",
      "improvement_over_parent": null
    },
    "node_197": {
      "node_id": "node_197",
      "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0125)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.69 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.6880178048514,
      "fos_buckling": 1.364419105897491,
      "fos_yielding": 13.230054517355935,
      "deflection": 0.006124607704857538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.319)"
      },
      "parent_node_id": "node_196",
      "improvement_over_parent": null
    },
    "node_198": {
      "node_id": "node_198",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_197",
      "improvement_over_parent": null
    },
    "node_199": {
      "node_id": "node_199",
      "content": "INITIAL DESIGN (Trace 30)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\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_200": {
      "node_id": "node_200",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 390.83 kg\n  Factor of Safety: 0.92\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": 390.83213839856586,
      "fos_buckling": 0.9191727621510841,
      "fos_yielding": 11.300906399436464,
      "deflection": 0.010178360212355778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008448)"
      },
      "parent_node_id": "node_199",
      "improvement_over_parent": null
    },
    "node_201": {
      "node_id": "node_201",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 434.23 kg\n  Factor of Safety: 1.00\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": 434.2251307650781,
      "fos_buckling": 1.000453667629164,
      "fos_yielding": 12.521690897867103,
      "deflection": 0.009189646790538238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_200",
      "improvement_over_parent": null
    },
    "node_202": {
      "node_id": "node_202",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 481.83 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.8278952255811,
      "fos_buckling": 0.9974536519908396,
      "fos_yielding": 12.484142663773577,
      "deflection": 0.00746231123402385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_201",
      "improvement_over_parent": null
    },
    "node_203": {
      "node_id": "node_203",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.96 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9605481182017,
      "fos_buckling": 1.5369425618058712,
      "fos_yielding": 14.256748797466397,
      "deflection": 0.005957751913975961,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 31)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 295.94 kg\n  Factor of Safety: 0.64\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": 295.9431936734703,
      "fos_buckling": 0.6431516040667508,
      "fos_yielding": 7.500863763709267,
      "deflection": 0.012419130057402005,
      "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: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 383.31 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.64e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.3104590763928,
      "fos_buckling": 0.8040800100793032,
      "fos_yielding": 9.662124337317152,
      "deflection": 0.009640387899856358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_205",
      "improvement_over_parent": null
    },
    "node_207": {
      "node_id": "node_207",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 437.44 kg\n  Factor of Safety: 0.90\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": 437.4381917118923,
      "fos_buckling": 0.8973439535931836,
      "fos_yielding": 10.989300782449915,
      "deflection": 0.00847569614410916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_206",
      "improvement_over_parent": null
    },
    "node_208": {
      "node_id": "node_208",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 479.18 kg\n  Factor of Safety: 1.38\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": 479.18411293018903,
      "fos_buckling": 1.3842775526575823,
      "fos_yielding": 12.499800276499325,
      "deflection": 0.006760322381231008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007519)"
      },
      "parent_node_id": "node_207",
      "improvement_over_parent": null
    },
    "node_209": {
      "node_id": "node_209",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.78 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.7796396537194,
      "fos_buckling": 1.5387956654944162,
      "fos_yielding": 14.283776168923648,
      "deflection": 0.005948724849002033,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_208",
      "improvement_over_parent": null
    },
    "node_210": {
      "node_id": "node_210",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_209",
      "improvement_over_parent": null
    },
    "node_211": {
      "node_id": "node_211",
      "content": "INITIAL DESIGN (Trace 32)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n\nPerformance:\n  Mass: 287.80 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 287.79898540994776,
      "fos_buckling": 0.5179413785119228,
      "fos_yielding": 6.2715018572166565,
      "deflection": 0.014622435811466888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_212": {
      "node_id": "node_212",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 317.96 kg\n  Factor of Safety: 0.57\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": 317.9577268754578,
      "fos_buckling": 0.5676584649373467,
      "fos_yielding": 6.930685222906005,
      "deflection": 0.013256450286971519,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_211",
      "improvement_over_parent": null
    },
    "node_213": {
      "node_id": "node_213",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 406.74 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 406.73581592113715,
      "fos_buckling": 0.7090417068026328,
      "fos_yielding": 8.87642881584977,
      "deflection": 0.010410359155413886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_212",
      "improvement_over_parent": null
    },
    "node_214": {
      "node_id": "node_214",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 470.87 kg\n  Factor of Safety: 0.71\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 470.8684688137578,
      "fos_buckling": 0.7061752500975454,
      "fos_yielding": 8.840543904352588,
      "deflection": 0.008697917749773134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_213",
      "improvement_over_parent": null
    },
    "node_215": {
      "node_id": "node_215",
      "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0147)]\n\nPerformance:\n  Mass: 501.07 kg\n  Factor of Safety: 0.70\n  Max Deflection: 8.56e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 501.0673456916937,
      "fos_buckling": 0.7048334997130199,
      "fos_yielding": 8.823746652988367,
      "deflection": 0.008555299454140592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.548)"
      },
      "parent_node_id": "node_214",
      "improvement_over_parent": null
    },
    "node_216": {
      "node_id": "node_216",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0147)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 548.67 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.29e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 548.6701101521967,
      "fos_buckling": 1.1949495152887402,
      "fos_yielding": 12.693810450803744,
      "deflection": 0.006290794645658499,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 33)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 397.44 kg\n  Factor of Safety: 0.55\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": 397.435318859481,
      "fos_buckling": 0.5494301829029378,
      "fos_yielding": 6.456029325867345,
      "deflection": 0.012415120544982177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_219": {
      "node_id": "node_219",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 473.12 kg\n  Factor of Safety: 1.24\n  Max Deflection: 6.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 473.12113886171255,
      "fos_buckling": 1.2440811001737322,
      "fos_yielding": 12.938176669673918,
      "deflection": 0.006840211433472718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009728)"
      },
      "parent_node_id": "node_218",
      "improvement_over_parent": null
    },
    "node_220": {
      "node_id": "node_220",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0115)]\n\nPerformance:\n  Mass: 485.85 kg\n  Factor of Safety: 1.25\n  Max Deflection: 6.67e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.84611491940655,
      "fos_buckling": 1.2451289049839585,
      "fos_yielding": 13.291192776738617,
      "deflection": 0.006674665799409522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.186)"
      },
      "parent_node_id": "node_219",
      "improvement_over_parent": null
    },
    "node_221": {
      "node_id": "node_221",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0128)]\n\nPerformance:\n  Mass: 535.39 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.3922478076017,
      "fos_buckling": 1.3509661660357104,
      "fos_yielding": 14.656677938878435,
      "deflection": 0.006074331333680646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_220",
      "improvement_over_parent": null
    },
    "node_222": {
      "node_id": "node_222",
      "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0116)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0128)]\n\nPerformance:\n  Mass: 552.73 kg\n  Factor of Safety: 1.55\n  Max Deflection: 5.83e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 552.7312605351099,
      "fos_buckling": 1.5475994475295987,
      "fos_yielding": 15.266779733634499,
      "deflection": 0.005830190965556119,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.269)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 34)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 466.35 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.20e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.35201002919234,
      "fos_buckling": 0.9990295896456451,
      "fos_yielding": 11.323776996384684,
      "deflection": 0.0082013467595567,
      "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: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 476.48 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.87e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 476.477885048924,
      "fos_buckling": 0.9983921313269197,
      "fos_yielding": 12.497545809350648,
      "deflection": 0.007870276624469374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.362)"
      },
      "parent_node_id": "node_224",
      "improvement_over_parent": null
    },
    "node_226": {
      "node_id": "node_226",
      "content": "MODIFICATION: Increase 1 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.67 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.6674828224103,
      "fos_buckling": 0.9969980611952847,
      "fos_yielding": 12.480095295885148,
      "deflection": 0.007462957189793562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.613)"
      },
      "parent_node_id": "node_225",
      "improvement_over_parent": null
    },
    "node_227": {
      "node_id": "node_227",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2702472829133,
      "fos_buckling": 1.5377080077155745,
      "fos_yielding": 14.269460543292555,
      "deflection": 0.005954170823354808,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 35)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\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 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 422.60 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.48e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 422.6017664687199,
      "fos_buckling": 0.8975902163382213,
      "fos_yielding": 10.990983208671777,
      "deflection": 0.008476609196039623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007514)"
      },
      "parent_node_id": "node_229",
      "improvement_over_parent": null
    },
    "node_231": {
      "node_id": "node_231",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.22 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.22087116914145,
      "fos_buckling": 0.998164614351115,
      "fos_yielding": 12.495065811952959,
      "deflection": 0.0074560889754046195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_230",
      "improvement_over_parent": null
    },
    "node_232": {
      "node_id": "node_232",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.35 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3535240617621,
      "fos_buckling": 1.5378512471318198,
      "fos_yielding": 14.27265971556246,
      "deflection": 0.0059531900442816085,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_231",
      "improvement_over_parent": null
    },
    "node_233": {
      "node_id": "node_233",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_232",
      "improvement_over_parent": null
    },
    "node_234": {
      "node_id": "node_234",
      "content": "INITIAL DESIGN (Trace 36)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0019)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 323.10 kg\n  Factor of Safety: 0.77\n  Max Deflection: 9.99e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 323.09525791577266,
      "fos_buckling": 0.7651106527052959,
      "fos_yielding": 7.774264617791123,
      "deflection": 0.009988063113468577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_235": {
      "node_id": "node_235",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 364.24 kg\n  Factor of Safety: 0.85\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 364.24087321894785,
      "fos_buckling": 0.8528471836407066,
      "fos_yielding": 8.734096734771233,
      "deflection": 0.008881975848188842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_234",
      "improvement_over_parent": null
    },
    "node_236": {
      "node_id": "node_236",
      "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 366.68 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 366.6757561894438,
      "fos_buckling": 1.10524883712315,
      "fos_yielding": 9.541281385394047,
      "deflection": 0.008774729356275712,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.639)"
      },
      "parent_node_id": "node_235",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 477.79 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.78e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.79023534663474,
      "fos_buckling": 1.3809924480275084,
      "fos_yielding": 12.462231852177096,
      "deflection": 0.006779507306216789,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_236",
      "improvement_over_parent": null
    },
    "node_238": {
      "node_id": "node_238",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.07 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0700699321561,
      "fos_buckling": 1.5372298595199467,
      "fos_yielding": 14.264074196134075,
      "deflection": 0.005956228662539734,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_237",
      "improvement_over_parent": null
    },
    "node_239": {
      "node_id": "node_239",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_238",
      "improvement_over_parent": null
    },
    "node_240": {
      "node_id": "node_240",
      "content": "INITIAL DESIGN (Trace 37)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 429.48 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.02e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 429.4790107890827,
      "fos_buckling": 1.001153914638839,
      "fos_yielding": 12.532116908594315,
      "deflection": 0.008015237523008553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_241": {
      "node_id": "node_241",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 493.61 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.57e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 493.61166368170325,
      "fos_buckling": 1.211813344237246,
      "fos_yielding": 13.424451040715498,
      "deflection": 0.006567889803148265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_240",
      "improvement_over_parent": null
    },
    "node_242": {
      "node_id": "node_242",
      "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 496.83 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.51e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 496.829853048196,
      "fos_buckling": 1.2105772881875105,
      "fos_yielding": 14.793957801873134,
      "deflection": 0.006505727612592491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.550)"
      },
      "parent_node_id": "node_241",
      "improvement_over_parent": null
    },
    "node_243": {
      "node_id": "node_243",
      "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 514.73 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.19e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 514.7253829667768,
      "fos_buckling": 1.4159164477383002,
      "fos_yielding": 15.479964590421805,
      "deflection": 0.0061890494945984155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.300)"
      },
      "parent_node_id": "node_242",
      "improvement_over_parent": null
    },
    "node_244": {
      "node_id": "node_244",
      "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 528.64 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.6366654208305,
      "fos_buckling": 1.4658852621041967,
      "fos_yielding": 14.912347416816958,
      "deflection": 0.006088178508640407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.453)"
      },
      "parent_node_id": "node_243",
      "improvement_over_parent": null
    },
    "node_245": {
      "node_id": "node_245",
      "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.19 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.192620007849,
      "fos_buckling": 1.5372563685901963,
      "fos_yielding": 14.271122788245261,
      "deflection": 0.005954722538937503,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.414)"
      },
      "parent_node_id": "node_244",
      "improvement_over_parent": null
    },
    "node_246": {
      "node_id": "node_246",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_245",
      "improvement_over_parent": null
    },
    "node_247": {
      "node_id": "node_247",
      "content": "INITIAL DESIGN (Trace 38)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 394.73 kg\n  Factor of Safety: 0.75\n  Max Deflection: 3.55e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.7276048017011,
      "fos_buckling": 0.7483100609430884,
      "fos_yielding": 9.418078990754061,
      "deflection": 3554593809282.6997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_248": {
      "node_id": "node_248",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 442.33 kg\n  Factor of Safety: 0.76\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": 442.33036926220404,
      "fos_buckling": 0.7551062404807724,
      "fos_yielding": 9.503614331065519,
      "deflection": 0.010087177405350232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_247",
      "improvement_over_parent": null
    },
    "node_249": {
      "node_id": "node_249",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 506.46 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 506.46302215482467,
      "fos_buckling": 0.7808806087885508,
      "fos_yielding": 9.828005314601832,
      "deflection": 0.010052463261857119,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_248",
      "improvement_over_parent": null
    },
    "node_250": {
      "node_id": "node_250",
      "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0140)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 532.84 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.84168234732,
      "fos_buckling": 0.7828477139173965,
      "fos_yielding": 9.852762901668397,
      "deflection": 0.010049907756670935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.475)"
      },
      "parent_node_id": "node_249",
      "improvement_over_parent": null
    },
    "node_251": {
      "node_id": "node_251",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0140)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.35 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.354297545402,
      "fos_buckling": 0.9008611313295066,
      "fos_yielding": 11.636644283646744,
      "deflection": 0.009474539879814621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.232)"
      },
      "parent_node_id": "node_250",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0140)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 558.32 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 558.3238170549569,
      "fos_buckling": 1.4479274984682602,
      "fos_yielding": 13.436729873728673,
      "deflection": 0.006020698915801445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_251",
      "improvement_over_parent": null
    },
    "node_253": {
      "node_id": "node_253",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_252",
      "improvement_over_parent": null
    },
    "node_254": {
      "node_id": "node_254",
      "content": "INITIAL DESIGN (Trace 39)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 275.53 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.94e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 275.53343477537857,
      "fos_buckling": 0.44152524678278043,
      "fos_yielding": 5.025124633439234,
      "deflection": 0.019354119275238543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_255": {
      "node_id": "node_255",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 333.72 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 333.71611585003467,
      "fos_buckling": 0.7411815260187313,
      "fos_yielding": 8.798172415658835,
      "deflection": 0.010838779911771755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007332)"
      },
      "parent_node_id": "node_254",
      "improvement_over_parent": null
    },
    "node_256": {
      "node_id": "node_256",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 385.69 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.41e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 385.68594813381145,
      "fos_buckling": 0.8377272520759238,
      "fos_yielding": 10.131975360280641,
      "deflection": 0.009409055644193627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_255",
      "improvement_over_parent": null
    },
    "node_257": {
      "node_id": "node_257",
      "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 388.10 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.38e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 388.10218009093336,
      "fos_buckling": 0.8374707423880714,
      "fos_yielding": 10.128872978412858,
      "deflection": 0.009383053381310501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.323)"
      },
      "parent_node_id": "node_256",
      "improvement_over_parent": null
    },
    "node_258": {
      "node_id": "node_258",
      "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0105)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 406.42 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.39e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 406.4205218764034,
      "fos_buckling": 0.836499819993037,
      "fos_yielding": 10.117130061181921,
      "deflection": 0.009393234002407288,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.393)"
      },
      "parent_node_id": "node_257",
      "improvement_over_parent": null
    },
    "node_259": {
      "node_id": "node_259",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 503.70 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.61e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 503.69559399566566,
      "fos_buckling": 0.9965409602266025,
      "fos_yielding": 12.4739836077313,
      "deflection": 0.007614812344601476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_258",
      "improvement_over_parent": null
    },
    "node_260": {
      "node_id": "node_260",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 551.30 kg\n  Factor of Safety: 1.46\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 551.2983584561687,
      "fos_buckling": 1.4645813310341962,
      "fos_yielding": 14.3715565576615,
      "deflection": 0.005977208664689028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 40)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0030)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0045)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0034)]\n\nPerformance:\n  Mass: 222.52 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.51849916121282,
      "fos_buckling": 0.6600538265319579,
      "fos_yielding": 5.643718490779973,
      "deflection": 0.014640444432340525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_263": {
      "node_id": "node_263",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0043)]\n\nPerformance:\n  Mass: 274.54 kg\n  Factor of Safety: 0.80\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": 274.538125552692,
      "fos_buckling": 0.8018987536409578,
      "fos_yielding": 6.97014053899861,
      "deflection": 0.011901765533533318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_262",
      "improvement_over_parent": null
    },
    "node_264": {
      "node_id": "node_264",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 354.68 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.25e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.6791562558215,
      "fos_buckling": 1.011301127511221,
      "fos_yielding": 9.01908661413744,
      "deflection": 0.009254589643072332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_263",
      "improvement_over_parent": null
    },
    "node_265": {
      "node_id": "node_265",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 443.30 kg\n  Factor of Safety: 1.23\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": 443.303883404666,
      "fos_buckling": 1.2300786286634877,
      "fos_yielding": 11.292904312556772,
      "deflection": 0.0074414713950064085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_264",
      "improvement_over_parent": null
    },
    "node_266": {
      "node_id": "node_266",
      "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 458.95 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 458.9488016354293,
      "fos_buckling": 1.3576156811072817,
      "fos_yielding": 11.749102872149804,
      "deflection": 0.007162201157739771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.300)"
      },
      "parent_node_id": "node_265",
      "improvement_over_parent": null
    },
    "node_267": {
      "node_id": "node_267",
      "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 471.85 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.86e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.8543633103303,
      "fos_buckling": 1.3668315368094495,
      "fos_yielding": 12.306230239541776,
      "deflection": 0.006862309037075966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.344)"
      },
      "parent_node_id": "node_266",
      "improvement_over_parent": null
    },
    "node_268": {
      "node_id": "node_268",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.587433597692,
      "fos_buckling": 1.5382605566293284,
      "fos_yielding": 14.278201377303121,
      "deflection": 0.005950753365425761,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_267",
      "improvement_over_parent": null
    },
    "node_269": {
      "node_id": "node_269",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_268",
      "improvement_over_parent": null
    },
    "node_270": {
      "node_id": "node_270",
      "content": "INITIAL DESIGN (Trace 41)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n\nPerformance:\n  Mass: 189.64 kg\n  Factor of Safety: 0.11\n  Max Deflection: 2.60e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.64348772842123,
      "fos_buckling": 0.11395696550427539,
      "fos_yielding": 0.5083593057729296,
      "deflection": 260062109895891.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_271": {
      "node_id": "node_271",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 226.09 kg\n  Factor of Safety: 0.11\n  Max Deflection: 5.04e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.08861104669558,
      "fos_buckling": 0.11210987429787932,
      "fos_yielding": 0.9044732384287154,
      "deflection": 50392542789624.36,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_270",
      "improvement_over_parent": null
    },
    "node_272": {
      "node_id": "node_272",
      "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 241.60 kg\n  Factor of Safety: 0.22\n  Max Deflection: 6.71e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.5988837546875,
      "fos_buckling": 0.22421974859575863,
      "fos_yielding": 1.8089464768574308,
      "deflection": 67051167195377.61,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.520)"
      },
      "parent_node_id": "node_271",
      "improvement_over_parent": null
    },
    "node_273": {
      "node_id": "node_273",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 267.10 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.70e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 267.09846440845956,
      "fos_buckling": 0.2948512377501948,
      "fos_yielding": 3.2464611509793193,
      "deflection": 26991545629814.184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_272",
      "improvement_over_parent": null
    },
    "node_274": {
      "node_id": "node_274",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 337.66 kg\n  Factor of Safety: 0.56\n  Max Deflection: 2.91e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 337.6607036794736,
      "fos_buckling": 0.5579520819905962,
      "fos_yielding": 5.546129670398002,
      "deflection": 29113370341629.836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009016)"
      },
      "parent_node_id": "node_273",
      "improvement_over_parent": null
    },
    "node_275": {
      "node_id": "node_275",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 391.92 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.92068776878205,
      "fos_buckling": 0.5184558672885503,
      "fos_yielding": 6.032910371432194,
      "deflection": 0.012973332836267755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007906)"
      },
      "parent_node_id": "node_274",
      "improvement_over_parent": null
    },
    "node_276": {
      "node_id": "node_276",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 462.48 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.4829270397961,
      "fos_buckling": 1.3439599376206517,
      "fos_yielding": 12.061963017442732,
      "deflection": 0.006997395542469287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009016)"
      },
      "parent_node_id": "node_275",
      "improvement_over_parent": null
    },
    "node_277": {
      "node_id": "node_277",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.688837886145,
      "fos_buckling": 1.5379153663618597,
      "fos_yielding": 14.283865181635207,
      "deflection": 0.005949678200462744,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_276",
      "improvement_over_parent": null
    },
    "node_278": {
      "node_id": "node_278",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_277",
      "improvement_over_parent": null
    },
    "node_279": {
      "node_id": "node_279",
      "content": "INITIAL DESIGN (Trace 42)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_280": {
      "node_id": "node_280",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 315.35 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.09e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.3488948695545,
      "fos_buckling": 0.43029170189742333,
      "fos_yielding": 3.6178929537148625,
      "deflection": 20901433143977.863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_279",
      "improvement_over_parent": null
    },
    "node_281": {
      "node_id": "node_281",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 373.52 kg\n  Factor of Safety: 0.94\n  Max Deflection: 3.73e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.5166549029647,
      "fos_buckling": 0.9438796274502128,
      "fos_yielding": 4.8416402195846855,
      "deflection": 37330866417274.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007330)"
      },
      "parent_node_id": "node_280",
      "improvement_over_parent": null
    },
    "node_282": {
      "node_id": "node_282",
      "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 398.71 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.59e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.7073293593538,
      "fos_buckling": 0.21514585094871166,
      "fos_yielding": 1.8089464768574313,
      "deflection": 45852521423213.45,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.475)"
      },
      "parent_node_id": "node_281",
      "improvement_over_parent": null
    },
    "node_283": {
      "node_id": "node_283",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.84 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.83998225197445,
      "fos_buckling": 0.5930560632058428,
      "fos_yielding": 7.075388955375661,
      "deflection": 0.011030850464883262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_282",
      "improvement_over_parent": null
    },
    "node_284": {
      "node_id": "node_284",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2352146853359,
      "fos_buckling": 1.5372543498678395,
      "fos_yielding": 14.269006525207065,
      "deflection": 0.005954557740426506,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_283",
      "improvement_over_parent": null
    },
    "node_285": {
      "node_id": "node_285",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_284",
      "improvement_over_parent": null
    },
    "node_286": {
      "node_id": "node_286",
      "content": "INITIAL DESIGN (Trace 43)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 382.49 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.10e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 382.48630617495036,
      "fos_buckling": 0.5710092346757489,
      "fos_yielding": 7.955646561886195,
      "deflection": 11039854194486.775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_287": {
      "node_id": "node_287",
      "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 385.77 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.10e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 385.7685661102363,
      "fos_buckling": 0.5710092346757489,
      "fos_yielding": 8.399564287062935,
      "deflection": 11039854194486.775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.567)"
      },
      "parent_node_id": "node_286",
      "improvement_over_parent": null
    },
    "node_288": {
      "node_id": "node_288",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 398.74 kg\n  Factor of Safety: 0.60\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": 398.73808561979115,
      "fos_buckling": 0.5954630927083794,
      "fos_yielding": 7.097306093901712,
      "deflection": 0.012200375686521051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_287",
      "improvement_over_parent": null
    },
    "node_289": {
      "node_id": "node_289",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.13 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.1333180531526,
      "fos_buckling": 0.9980358904464747,
      "fos_yielding": 12.493086502648566,
      "deflection": 0.007457426738945446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_288",
      "improvement_over_parent": null
    },
    "node_290": {
      "node_id": "node_290",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2659709457732,
      "fos_buckling": 1.5376052593265412,
      "fos_yielding": 14.270743609459068,
      "deflection": 0.005954191130214661,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_289",
      "improvement_over_parent": null
    },
    "node_291": {
      "node_id": "node_291",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_290",
      "improvement_over_parent": null
    },
    "node_292": {
      "node_id": "node_292",
      "content": "INITIAL DESIGN (Trace 44)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n\nPerformance:\n  Mass: 303.78 kg\n  Factor of Safety: 0.33\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 303.7766533138328,
      "fos_buckling": 0.3293093238927312,
      "fos_yielding": 4.904324566123423,
      "deflection": 0.01748187306762167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_293": {
      "node_id": "node_293",
      "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 326.97 kg\n  Factor of Safety: 0.33\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": 326.9699432879569,
      "fos_buckling": 0.3288235087076563,
      "fos_yielding": 4.897089437404338,
      "deflection": 0.016635180979076236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.656)"
      },
      "parent_node_id": "node_292",
      "improvement_over_parent": null
    },
    "node_294": {
      "node_id": "node_294",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 371.11 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 371.11375038412825,
      "fos_buckling": 0.8951279726042064,
      "fos_yielding": 10.213347207182599,
      "deflection": 0.00881521663292553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005480)"
      },
      "parent_node_id": "node_293",
      "improvement_over_parent": null
    },
    "node_295": {
      "node_id": "node_295",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 445.15 kg\n  Factor of Safety: 1.05\n  Max Deflection: 7.38e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.14952465079324,
      "fos_buckling": 1.0547063278179967,
      "fos_yielding": 12.267452569642465,
      "deflection": 0.007378585379971159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_294",
      "improvement_over_parent": null
    },
    "node_296": {
      "node_id": "node_296",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 509.94 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 509.93640346087295,
      "fos_buckling": 1.1892761022937597,
      "fos_yielding": 14.069057507973442,
      "deflection": 0.006463556537165246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_295",
      "improvement_over_parent": null
    },
    "node_297": {
      "node_id": "node_297",
      "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 524.33 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.30e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.3341313858624,
      "fos_buckling": 1.2704008864993193,
      "fos_yielding": 13.454630493059712,
      "deflection": 0.006298673512917174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.475)"
      },
      "parent_node_id": "node_296",
      "improvement_over_parent": null
    },
    "node_298": {
      "node_id": "node_298",
      "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0133)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 546.90 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.16e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.897780505959,
      "fos_buckling": 1.3290983221619026,
      "fos_yielding": 13.015510104625038,
      "deflection": 0.0061631884202745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.403)"
      },
      "parent_node_id": "node_297",
      "improvement_over_parent": null
    },
    "node_299": {
      "node_id": "node_299",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_298",
      "improvement_over_parent": null
    },
    "node_300": {
      "node_id": "node_300",
      "content": "INITIAL DESIGN (Trace 45)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 295.45 kg\n  Factor of Safety: 0.00\n  Max Deflection: 4.40e+15 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 295.4543176865936,
      "fos_buckling": 0.0034678922537643058,
      "fos_yielding": 0.0498612922809836,
      "deflection": 4398024043827521.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_301": {
      "node_id": "node_301",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n\nPerformance:\n  Mass: 305.80 kg\n  Factor of Safety: 47.90\n  Max Deflection: 1.29e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 305.7982436743836,
      "fos_buckling": 47.896435729653334,
      "fos_yielding": 11.759880680682416,
      "deflection": 12866510777579.213,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004909)"
      },
      "parent_node_id": "node_300",
      "improvement_over_parent": null
    },
    "node_302": {
      "node_id": "node_302",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 383.77 kg\n  Factor of Safety: 0.86\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": 383.7651487483978,
      "fos_buckling": 0.8556929660611338,
      "fos_yielding": 11.356093129757888,
      "deflection": 11813893154861.197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_301",
      "improvement_over_parent": null
    },
    "node_303": {
      "node_id": "node_303",
      "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0084)]\n\nPerformance:\n  Mass: 387.61 kg\n  Factor of Safety: 0.86\n  Max Deflection: 2.49e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.60536631970325,
      "fos_buckling": 0.8564759067804161,
      "fos_yielding": 12.223472621921612,
      "deflection": 24915697565217.176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.337)"
      },
      "parent_node_id": "node_302",
      "improvement_over_parent": null
    },
    "node_304": {
      "node_id": "node_304",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 471.00 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.56e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.0005987530647,
      "fos_buckling": 0.9984659101336303,
      "fos_yielding": 12.501906887097043,
      "deflection": 0.007562767598747084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_303",
      "improvement_over_parent": null
    },
    "node_305": {
      "node_id": "node_305",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 535.13 kg\n  Factor of Safety: 1.50\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.1332516456853,
      "fos_buckling": 1.4953881739071238,
      "fos_yielding": 18.7076749333458,
      "deflection": 0.005989877826108747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_304",
      "improvement_over_parent": null
    },
    "node_306": {
      "node_id": "node_306",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_305",
      "improvement_over_parent": null
    },
    "node_307": {
      "node_id": "node_307",
      "content": "INITIAL DESIGN (Trace 46)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n\nPerformance:\n  Mass: 304.98 kg\n  Factor of Safety: 0.36\n  Max Deflection: 4.44e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 304.9773509189928,
      "fos_buckling": 0.361318969822368,
      "fos_yielding": 4.658049886196657,
      "deflection": 0.04436285415375889,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_308": {
      "node_id": "node_308",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n\nPerformance:\n  Mass: 314.43 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 314.4331128823163,
      "fos_buckling": 0.36088399072862876,
      "fos_yielding": 5.232894069416142,
      "deflection": 0.016119296321010418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004459)"
      },
      "parent_node_id": "node_307",
      "improvement_over_parent": null
    },
    "node_309": {
      "node_id": "node_309",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n\nPerformance:\n  Mass: 373.41 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.41470232256,
      "fos_buckling": 0.4204905527944871,
      "fos_yielding": 6.175611678580319,
      "deflection": 0.013618147222213306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_308",
      "improvement_over_parent": null
    },
    "node_310": {
      "node_id": "node_310",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 445.53 kg\n  Factor of Safety: 1.10\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": 445.531013600953,
      "fos_buckling": 1.1023490380182908,
      "fos_yielding": 11.743369821643677,
      "deflection": 0.007437602507209745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009231)"
      },
      "parent_node_id": "node_309",
      "improvement_over_parent": null
    },
    "node_311": {
      "node_id": "node_311",
      "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 463.09 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.08731164188936,
      "fos_buckling": 1.2614127370347832,
      "fos_yielding": 12.723456499634578,
      "deflection": 0.006957259044987282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.527)"
      },
      "parent_node_id": "node_310",
      "improvement_over_parent": null
    },
    "node_312": {
      "node_id": "node_312",
      "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 472.63 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 472.6288847344524,
      "fos_buckling": 1.3682949751570102,
      "fos_yielding": 12.326358847169017,
      "deflection": 0.006851477620379998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.326)"
      },
      "parent_node_id": "node_311",
      "improvement_over_parent": null
    },
    "node_313": {
      "node_id": "node_313",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6227003488091,
      "fos_buckling": 1.537943126346066,
      "fos_yielding": 14.278817363815476,
      "deflection": 0.0059504624721334705,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_312",
      "improvement_over_parent": null
    },
    "node_314": {
      "node_id": "node_314",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_313",
      "improvement_over_parent": null
    },
    "node_315": {
      "node_id": "node_315",
      "content": "INITIAL DESIGN (Trace 47)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n\nPerformance:\n  Mass: 287.05 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.93e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 287.05117711441864,
      "fos_buckling": 0.41677668145876207,
      "fos_yielding": 4.407571161185219,
      "deflection": 0.019323143636696908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_316": {
      "node_id": "node_316",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 331.88 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 331.87980481409187,
      "fos_buckling": 0.8833747396277958,
      "fos_yielding": 9.622570667371441,
      "deflection": 0.009693898009302376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005569)"
      },
      "parent_node_id": "node_315",
      "improvement_over_parent": null
    },
    "node_317": {
      "node_id": "node_317",
      "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 333.17 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.65e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 333.1664984219758,
      "fos_buckling": 0.8828834235322826,
      "fos_yielding": 9.52240565999227,
      "deflection": 0.009645791272194105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.271)"
      },
      "parent_node_id": "node_316",
      "improvement_over_parent": null
    },
    "node_318": {
      "node_id": "node_318",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 399.30 kg\n  Factor of Safety: 1.04\n  Max Deflection: 8.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 399.30017608771465,
      "fos_buckling": 1.036991282278699,
      "fos_yielding": 11.418749030802651,
      "deflection": 0.008079043176568993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_317",
      "improvement_over_parent": null
    },
    "node_319": {
      "node_id": "node_319",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 441.92 kg\n  Factor of Safety: 1.13\n  Max Deflection: 7.32e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 441.92267144511084,
      "fos_buckling": 1.1326689336148654,
      "fos_yielding": 12.641718213524799,
      "deflection": 0.007317760171328702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_318",
      "improvement_over_parent": null
    },
    "node_320": {
      "node_id": "node_320",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 509.49 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.37e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 509.4937786111617,
      "fos_buckling": 1.2785381681426338,
      "fos_yielding": 14.581588932955603,
      "deflection": 0.006371855546814918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_319",
      "improvement_over_parent": null
    },
    "node_321": {
      "node_id": "node_321",
      "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 531.14 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.17e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.1355863386596,
      "fos_buckling": 1.3669731973439123,
      "fos_yielding": 13.756311355470595,
      "deflection": 0.006167091221105356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.560)"
      },
      "parent_node_id": "node_320",
      "improvement_over_parent": null
    },
    "node_322": {
      "node_id": "node_322",
      "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.5615451208699,
      "fos_buckling": 1.536041681573819,
      "fos_yielding": 14.252719086096258,
      "deflection": 0.005961384227809837,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.230)"
      },
      "parent_node_id": "node_321",
      "improvement_over_parent": null
    },
    "node_323": {
      "node_id": "node_323",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_322",
      "improvement_over_parent": null
    },
    "node_324": {
      "node_id": "node_324",
      "content": "INITIAL DESIGN (Trace 48)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 412.59 kg\n  Factor of Safety: 0.73\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": 412.58548490355054,
      "fos_buckling": 0.734930515352186,
      "fos_yielding": 9.208649536449037,
      "deflection": 0.011022230408390364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_325": {
      "node_id": "node_325",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 466.10 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.76e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.0958486783505,
      "fos_buckling": 0.8201495143594356,
      "fos_yielding": 10.434907990335878,
      "deflection": 0.009763781039283433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_324",
      "improvement_over_parent": null
    },
    "node_326": {
      "node_id": "node_326",
      "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 486.11 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 486.111316495702,
      "fos_buckling": 0.9991870974217182,
      "fos_yielding": 12.509107141996283,
      "deflection": 0.009014542269550577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.346)"
      },
      "parent_node_id": "node_325",
      "improvement_over_parent": null
    },
    "node_327": {
      "node_id": "node_327",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 499.08 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 499.08083600525686,
      "fos_buckling": 0.9975562106404233,
      "fos_yielding": 12.488689607045805,
      "deflection": 0.007457090643338459,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_326",
      "improvement_over_parent": null
    },
    "node_328": {
      "node_id": "node_328",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6836004657598,
      "fos_buckling": 1.538391039795249,
      "fos_yielding": 14.274306109414129,
      "deflection": 0.005949699329831217,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_327",
      "improvement_over_parent": null
    },
    "node_329": {
      "node_id": "node_329",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_328",
      "improvement_over_parent": null
    },
    "node_330": {
      "node_id": "node_330",
      "content": "INITIAL DESIGN (Trace 49)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 480.12 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.12028519432306,
      "fos_buckling": 0.9981630287293746,
      "fos_yielding": 12.49467797804667,
      "deflection": 0.007454749217268863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_331": {
      "node_id": "node_331",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.69 kg\n  Factor of Safety: 1.00\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": 498.6910613414933,
      "fos_buckling": 0.9969965819362279,
      "fos_yielding": 12.480076779004616,
      "deflection": 0.007462834111829589,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.447)"
      },
      "parent_node_id": "node_330",
      "improvement_over_parent": null
    },
    "node_332": {
      "node_id": "node_332",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n\nPerformance:\n  Mass: 533.60 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.6048573818294,
      "fos_buckling": 1.3866225555017233,
      "fos_yielding": 14.824659121398685,
      "deflection": 0.006062848145525479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006204)"
      },
      "parent_node_id": "node_331",
      "improvement_over_parent": null
    },
    "node_333": {
      "node_id": "node_333",
      "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0121)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n\nPerformance:\n  Mass: 550.18 kg\n  Factor of Safety: 1.39\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 550.1819117708714,
      "fos_buckling": 1.3902043431613935,
      "fos_yielding": 14.361188470522746,
      "deflection": 0.005976019721242815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.399)"
      },
      "parent_node_id": "node_332",
      "improvement_over_parent": null
    },
    "node_334": {
      "node_id": "node_334",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_333",
      "improvement_over_parent": null
    },
    "node_335": {
      "node_id": "node_335",
      "content": "INITIAL DESIGN (Trace 50)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 402.21 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.68e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.21484023093234,
      "fos_buckling": 0.21514602430419996,
      "fos_yielding": 1.8089464768574308,
      "deflection": 36778585854631.87,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_336": {
      "node_id": "node_336",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 449.82 kg\n  Factor of Safety: 0.59\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": 449.8176046914353,
      "fos_buckling": 0.5934794356184098,
      "fos_yielding": 7.079957903976534,
      "deflection": 0.011116590649268343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_335",
      "improvement_over_parent": null
    },
    "node_337": {
      "node_id": "node_337",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.21 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.2128371247967,
      "fos_buckling": 1.4183611230715918,
      "fos_yielding": 14.812455538291168,
      "deflection": 0.00606776845586136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_336",
      "improvement_over_parent": null
    },
    "node_338": {
      "node_id": "node_338",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0105)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 542.28 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.2755081706845,
      "fos_buckling": 1.4205745942201158,
      "fos_yielding": 14.529685622432485,
      "deflection": 0.0060148189932854364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.214)"
      },
      "parent_node_id": "node_337",
      "improvement_over_parent": null
    },
    "node_339": {
      "node_id": "node_339",
      "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0134)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0105)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 565.20 kg\n  Factor of Safety: 1.42\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 565.1998356216301,
      "fos_buckling": 1.4246087978810702,
      "fos_yielding": 13.991169173998856,
      "deflection": 0.0058975019070799505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.410)"
      },
      "parent_node_id": "node_338",
      "improvement_over_parent": null
    },
    "node_340": {
      "node_id": "node_340",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_339",
      "improvement_over_parent": null
    },
    "node_341": {
      "node_id": "node_341",
      "content": "INITIAL DESIGN (Trace 51)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\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_342": {
      "node_id": "node_342",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 315.35 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.97e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.3474106370129,
      "fos_buckling": 0.9208722504365969,
      "fos_yielding": 5.238391357944901,
      "deflection": 19725676295349.03,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_341",
      "improvement_over_parent": null
    },
    "node_343": {
      "node_id": "node_343",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 398.74 kg\n  Factor of Safety: 0.60\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": 398.74264307037436,
      "fos_buckling": 0.5954632603602682,
      "fos_yielding": 7.103672982080554,
      "deflection": 0.012199634358387841,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_342",
      "improvement_over_parent": null
    },
    "node_344": {
      "node_id": "node_344",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 458.72 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 458.7195152109335,
      "fos_buckling": 0.9994812795803412,
      "fos_yielding": 12.511546677819357,
      "deflection": 0.007800280292586615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007573)"
      },
      "parent_node_id": "node_343",
      "improvement_over_parent": null
    },
    "node_345": {
      "node_id": "node_345",
      "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0136)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 482.66 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.65e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.65824642350907,
      "fos_buckling": 0.9979741605036525,
      "fos_yielding": 12.492680500871105,
      "deflection": 0.007645152880563806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.429)"
      },
      "parent_node_id": "node_344",
      "improvement_over_parent": null
    },
    "node_346": {
      "node_id": "node_346",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0136)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.79 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.7908993161296,
      "fos_buckling": 1.3179132848656974,
      "fos_yielding": 12.941066387230673,
      "deflection": 0.006180707559171734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_345",
      "improvement_over_parent": null
    },
    "node_347": {
      "node_id": "node_347",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_346",
      "improvement_over_parent": null
    },
    "node_348": {
      "node_id": "node_348",
      "content": "INITIAL DESIGN (Trace 52)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 358.51 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 358.5102687775197,
      "fos_buckling": 0.4926527045047055,
      "fos_yielding": 5.686057660984227,
      "deflection": 0.013879726186265613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_349": {
      "node_id": "node_349",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 368.48 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 368.4798845425556,
      "fos_buckling": 0.492341109563604,
      "fos_yielding": 5.682504873262287,
      "deflection": 0.013778303398235674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.383)"
      },
      "parent_node_id": "node_348",
      "improvement_over_parent": null
    },
    "node_350": {
      "node_id": "node_350",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.12 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.12418206209327,
      "fos_buckling": 0.5932805143473726,
      "fos_yielding": 7.078633093279577,
      "deflection": 0.01102501989161114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_349",
      "improvement_over_parent": null
    },
    "node_351": {
      "node_id": "node_351",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5194144954547,
      "fos_buckling": 1.537790661503848,
      "fos_yielding": 14.274895646510213,
      "deflection": 0.005951652666123602,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 53)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 325.92 kg\n  Factor of Safety: 0.96\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": 325.9201449645184,
      "fos_buckling": 0.9643161400602396,
      "fos_yielding": 8.172253299556605,
      "deflection": 0.010180869811339335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_354": {
      "node_id": "node_354",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 406.10 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.21e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 406.0966039449646,
      "fos_buckling": 1.1662254751892034,
      "fos_yielding": 10.198798051152375,
      "deflection": 0.008206153412060085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_353",
      "improvement_over_parent": null
    },
    "node_355": {
      "node_id": "node_355",
      "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 423.82 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.62e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.81959474807616,
      "fos_buckling": 1.2502720442935988,
      "fos_yielding": 11.042200186426566,
      "deflection": 0.007617861986971335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.626)"
      },
      "parent_node_id": "node_354",
      "improvement_over_parent": null
    },
    "node_356": {
      "node_id": "node_356",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5967439076906,
      "fos_buckling": 1.5382363198876892,
      "fos_yielding": 14.278609889714993,
      "deflection": 0.005950602480658093,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_355",
      "improvement_over_parent": null
    },
    "node_357": {
      "node_id": "node_357",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_356",
      "improvement_over_parent": null
    },
    "node_358": {
      "node_id": "node_358",
      "content": "INITIAL DESIGN (Trace 54)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 301.15 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 301.14724231215024,
      "fos_buckling": 0.45597894760156593,
      "fos_yielding": 5.20411562466351,
      "deflection": 0.01671626347352076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_359": {
      "node_id": "node_359",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0030)]\n\nPerformance:\n  Mass: 318.79 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 318.78543716989157,
      "fos_buckling": 0.4554671137150645,
      "fos_yielding": 5.1983387488911115,
      "deflection": 0.015367126071985253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.003036)"
      },
      "parent_node_id": "node_358",
      "improvement_over_parent": null
    },
    "node_360": {
      "node_id": "node_360",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n\nPerformance:\n  Mass: 373.81 kg\n  Factor of Safety: 0.52\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": 373.80802008822593,
      "fos_buckling": 0.5206482479480908,
      "fos_yielding": 6.061260738569168,
      "deflection": 0.013150497932711988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_359",
      "improvement_over_parent": null
    },
    "node_361": {
      "node_id": "node_361",
      "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0056)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n\nPerformance:\n  Mass: 375.54 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 375.54024643754315,
      "fos_buckling": 0.5206482479480908,
      "fos_yielding": 6.706729570560581,
      "deflection": 0.012947232885696764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.233)"
      },
      "parent_node_id": "node_360",
      "improvement_over_parent": null
    },
    "node_362": {
      "node_id": "node_362",
      "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0091)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n\nPerformance:\n  Mass: 380.89 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 380.88763643090385,
      "fos_buckling": 0.5206482479480908,
      "fos_yielding": 6.706729570560577,
      "deflection": 0.012610630321670584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.637)"
      },
      "parent_node_id": "node_361",
      "improvement_over_parent": null
    },
    "node_363": {
      "node_id": "node_363",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0109)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n\nPerformance:\n  Mass: 447.69 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.6925904203668,
      "fos_buckling": 0.5936381800874643,
      "fos_yielding": 7.878833790261278,
      "deflection": 0.010774028404374605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_362",
      "improvement_over_parent": null
    },
    "node_364": {
      "node_id": "node_364",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0109)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 531.09 kg\n  Factor of Safety: 1.14\n  Max Deflection: 6.15e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.0878228537282,
      "fos_buckling": 1.1364395412098616,
      "fos_yielding": 15.265602003082112,
      "deflection": 0.006147577908339889,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_363",
      "improvement_over_parent": null
    },
    "node_365": {
      "node_id": "node_365",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_364",
      "improvement_over_parent": null
    },
    "node_366": {
      "node_id": "node_366",
      "content": "INITIAL DESIGN (Trace 55)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n\nPerformance:\n  Mass: 387.64 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.64277455786845,
      "fos_buckling": 0.5493638291545688,
      "fos_yielding": 6.279729456475292,
      "deflection": 0.013915647958734656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_367": {
      "node_id": "node_367",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 463.26 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.26424013486394,
      "fos_buckling": 1.3445741752869325,
      "fos_yielding": 14.169400076445541,
      "deflection": 0.006847453252940557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009719)"
      },
      "parent_node_id": "node_366",
      "improvement_over_parent": null
    },
    "node_368": {
      "node_id": "node_368",
      "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 482.10 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.66e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.09518807944136,
      "fos_buckling": 1.3690114670558735,
      "fos_yielding": 13.381589470778659,
      "deflection": 0.006663454124077823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.520)"
      },
      "parent_node_id": "node_367",
      "improvement_over_parent": null
    },
    "node_369": {
      "node_id": "node_369",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 532.22 kg\n  Factor of Safety: 1.48\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": 532.2179816765898,
      "fos_buckling": 1.4818785909491745,
      "fos_yielding": 14.780735250040427,
      "deflection": 0.006054453768959482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_368",
      "improvement_over_parent": null
    },
    "node_370": {
      "node_id": "node_370",
      "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6658014650176,
      "fos_buckling": 1.5385627905048527,
      "fos_yielding": 14.281924068830332,
      "deflection": 0.005949808701381927,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.319)"
      },
      "parent_node_id": "node_369",
      "improvement_over_parent": null
    },
    "node_371": {
      "node_id": "node_371",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_370",
      "improvement_over_parent": null
    },
    "node_372": {
      "node_id": "node_372",
      "content": "INITIAL DESIGN (Trace 56)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 342.55 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 342.54629524089046,
      "fos_buckling": 0.6714201964525868,
      "fos_yielding": 8.326327680038382,
      "deflection": 0.01234955630439385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_373": {
      "node_id": "node_373",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 389.51 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 389.5122369172618,
      "fos_buckling": 0.7536969400037559,
      "fos_yielding": 9.48261384743125,
      "deflection": 0.010875181488264043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_372",
      "improvement_over_parent": null
    },
    "node_374": {
      "node_id": "node_374",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 400.77 kg\n  Factor of Safety: 0.75\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": 400.77289697906224,
      "fos_buckling": 0.75314757467557,
      "fos_yielding": 9.475702025196272,
      "deflection": 0.010883034924541938,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.391)"
      },
      "parent_node_id": "node_373",
      "improvement_over_parent": null
    },
    "node_375": {
      "node_id": "node_375",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 417.10 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 417.1022952793734,
      "fos_buckling": 0.9119659882226319,
      "fos_yielding": 11.197851037223385,
      "deflection": 0.010126310029206364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.305)"
      },
      "parent_node_id": "node_374",
      "improvement_over_parent": null
    },
    "node_376": {
      "node_id": "node_376",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 474.35 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 474.35175720258724,
      "fos_buckling": 0.9215189728006975,
      "fos_yielding": 11.315150256325346,
      "deflection": 0.010126312592813236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008379)"
      },
      "parent_node_id": "node_375",
      "improvement_over_parent": null
    },
    "node_377": {
      "node_id": "node_377",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n\nPerformance:\n  Mass: 485.93 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.68e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.928363482213,
      "fos_buckling": 1.358930101515353,
      "fos_yielding": 12.825771623694438,
      "deflection": 0.006678893878291795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005544)"
      },
      "parent_node_id": "node_376",
      "improvement_over_parent": null
    },
    "node_378": {
      "node_id": "node_378",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 544.76 kg\n  Factor of Safety: 1.49\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.7586973545834,
      "fos_buckling": 1.4901034666956692,
      "fos_yielding": 14.395950233733595,
      "deflection": 0.005978779424134372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_377",
      "improvement_over_parent": null
    },
    "node_379": {
      "node_id": "node_379",
      "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 561.36 kg\n  Factor of Safety: 1.48\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 561.3612612161969,
      "fos_buckling": 1.483168451269356,
      "fos_yielding": 14.855505611620195,
      "deflection": 0.00580449717302249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.224)"
      },
      "parent_node_id": "node_378",
      "improvement_over_parent": null
    },
    "node_380": {
      "node_id": "node_380",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_379",
      "improvement_over_parent": null
    },
    "node_381": {
      "node_id": "node_381",
      "content": "INITIAL DESIGN (Trace 57)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0035)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 218.82 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.81793502127363,
      "fos_buckling": 0.492413966326855,
      "fos_yielding": 5.936099939510636,
      "deflection": 0.018305518189742326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_382": {
      "node_id": "node_382",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 284.68 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 284.68199668635293,
      "fos_buckling": 0.6249127295817073,
      "fos_yielding": 7.701824701599547,
      "deflection": 0.014140963353152076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_381",
      "improvement_over_parent": null
    },
    "node_383": {
      "node_id": "node_383",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 333.97 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 333.9680923420185,
      "fos_buckling": 0.7193759647815846,
      "fos_yielding": 9.01734611168644,
      "deflection": 0.01209920650018108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_382",
      "improvement_over_parent": null
    },
    "node_384": {
      "node_id": "node_384",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 371.47 kg\n  Factor of Safety: 0.72\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 371.47178852910025,
      "fos_buckling": 0.7176646991080469,
      "fos_yielding": 8.995895471655642,
      "deflection": 0.00992068607258655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006698)"
      },
      "parent_node_id": "node_383",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 408.98 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.87e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 408.975484716182,
      "fos_buckling": 1.0952311675256143,
      "fos_yielding": 11.334819127271349,
      "deflection": 0.007874266799198667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006698)"
      },
      "parent_node_id": "node_384",
      "improvement_over_parent": null
    },
    "node_386": {
      "node_id": "node_386",
      "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0113)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 429.63 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 429.63026429439066,
      "fos_buckling": 1.096765964214473,
      "fos_yielding": 11.872234196812629,
      "deflection": 0.007552703718724309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.346)"
      },
      "parent_node_id": "node_385",
      "improvement_over_parent": null
    },
    "node_387": {
      "node_id": "node_387",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0087)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0113)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 438.09 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.49e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 438.08926263816807,
      "fos_buckling": 1.0950821033382085,
      "fos_yielding": 11.655306033512073,
      "deflection": 0.007493616027050373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.182)"
      },
      "parent_node_id": "node_386",
      "improvement_over_parent": null
    },
    "node_388": {
      "node_id": "node_388",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0112)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0146)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 555.15 kg\n  Factor of Safety: 1.34\n  Max Deflection: 5.95e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 555.1515515735301,
      "fos_buckling": 1.3410421423516803,
      "fos_yielding": 14.810304540369742,
      "deflection": 0.005949274580880569,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_387",
      "improvement_over_parent": null
    },
    "node_389": {
      "node_id": "node_389",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_388",
      "improvement_over_parent": null
    },
    "node_390": {
      "node_id": "node_390",
      "content": "INITIAL DESIGN (Trace 58)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 335.85 kg\n  Factor of Safety: 0.26\n  Max Deflection: 4.71e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 335.8501091841267,
      "fos_buckling": 0.25783240869900215,
      "fos_yielding": 2.738314875937454,
      "deflection": 47082576438183.95,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_391": {
      "node_id": "node_391",
      "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 354.49 kg\n  Factor of Safety: 0.14\n  Max Deflection: 1.38e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.48688086547725,
      "fos_buckling": 0.14435965871257522,
      "fos_yielding": 1.3622524365071214,
      "deflection": 137588420095052.28,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.473)"
      },
      "parent_node_id": "node_390",
      "improvement_over_parent": null
    },
    "node_392": {
      "node_id": "node_392",
      "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 357.98 kg\n  Factor of Safety: 0.11\n  Max Deflection: 1.38e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 357.9796288494938,
      "fos_buckling": 0.10706423150170293,
      "fos_yielding": 0.9044732384287154,
      "deflection": 137588420095052.23,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.623)"
      },
      "parent_node_id": "node_391",
      "improvement_over_parent": null
    },
    "node_393": {
      "node_id": "node_393",
      "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 373.88 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.26e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.87968363756437,
      "fos_buckling": 0.8565138520136234,
      "fos_yielding": 7.235785907429723,
      "deflection": 12619667110583.13,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.362)"
      },
      "parent_node_id": "node_392",
      "improvement_over_parent": null
    },
    "node_394": {
      "node_id": "node_394",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 457.27 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.65e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 457.2749160709258,
      "fos_buckling": 0.9995724577182737,
      "fos_yielding": 12.506295223753702,
      "deflection": 0.007648988808431529,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_393",
      "improvement_over_parent": null
    },
    "node_395": {
      "node_id": "node_395",
      "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 467.27 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.65e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.27291719380526,
      "fos_buckling": 0.9989423419294778,
      "fos_yielding": 12.498411439022561,
      "deflection": 0.0076538145340472935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.292)"
      },
      "parent_node_id": "node_394",
      "improvement_over_parent": null
    },
    "node_396": {
      "node_id": "node_396",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 531.41 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.17e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.4055700864259,
      "fos_buckling": 1.364229667284224,
      "fos_yielding": 13.759795607518495,
      "deflection": 0.006165967803508221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_395",
      "improvement_over_parent": null
    },
    "node_397": {
      "node_id": "node_397",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0117)]\n\nPerformance:\n  Mass: 544.84 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.10e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.8402181401601,
      "fos_buckling": 1.3611604470507572,
      "fos_yielding": 13.470452107517412,
      "deflection": 0.006097571071494801,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.236)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 59)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 334.04 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.07e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 334.0401839933967,
      "fos_buckling": 0.8854306932439374,
      "fos_yielding": 7.235785907429723,
      "deflection": 10717521169461.96,
      "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 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 397.84 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.55e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.83979136687213,
      "fos_buckling": 0.4303134249613755,
      "fos_yielding": 3.6178929537148616,
      "deflection": 25455523637599.645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_399",
      "improvement_over_parent": null
    },
    "node_401": {
      "node_id": "node_401",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 481.24 kg\n  Factor of Safety: 1.00\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": 481.2350238002336,
      "fos_buckling": 0.9978957628315127,
      "fos_yielding": 9.529709395260305,
      "deflection": 0.008158842961428409,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_400",
      "improvement_over_parent": null
    },
    "node_402": {
      "node_id": "node_402",
      "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 495.86 kg\n  Factor of Safety: 1.00\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": 495.8616195070008,
      "fos_buckling": 0.996977290285456,
      "fos_yielding": 12.470666378783354,
      "deflection": 0.007518495671425606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.340)"
      },
      "parent_node_id": "node_401",
      "improvement_over_parent": null
    },
    "node_403": {
      "node_id": "node_403",
      "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.53 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.5286131037274,
      "fos_buckling": 0.996977290285456,
      "fos_yielding": 12.470666378783351,
      "deflection": 0.007465253329906638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.420)"
      },
      "parent_node_id": "node_402",
      "improvement_over_parent": null
    },
    "node_404": {
      "node_id": "node_404",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.13 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1313775642304,
      "fos_buckling": 1.5373471556507936,
      "fos_yielding": 14.265028943283395,
      "deflection": 0.005955722761107408,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_403",
      "improvement_over_parent": null
    },
    "node_405": {
      "node_id": "node_405",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_404",
      "improvement_over_parent": null
    },
    "node_406": {
      "node_id": "node_406",
      "content": "INITIAL DESIGN (Trace 60)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 284.72 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 284.71780692222904,
      "fos_buckling": 0.5919741989875029,
      "fos_yielding": 6.837830566628821,
      "deflection": 0.01675759194023377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_407": {
      "node_id": "node_407",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0017)]\n\nPerformance:\n  Mass: 288.51 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 288.50622226455545,
      "fos_buckling": 0.6138717575456601,
      "fos_yielding": 4.577129413791677,
      "deflection": 0.011487366414237055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.001720)"
      },
      "parent_node_id": "node_406",
      "improvement_over_parent": null
    },
    "node_408": {
      "node_id": "node_408",
      "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0017)]\n\nPerformance:\n  Mass: 299.93 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 299.9294487679473,
      "fos_buckling": 0.6392918087162549,
      "fos_yielding": 4.7666655220795136,
      "deflection": 0.01104833437337055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.271)"
      },
      "parent_node_id": "node_407",
      "improvement_over_parent": null
    },
    "node_409": {
      "node_id": "node_409",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0020)]\n\nPerformance:\n  Mass: 348.41 kg\n  Factor of Safety: 0.74\n  Max Deflection: 9.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 348.41482929957556,
      "fos_buckling": 0.7397965003563789,
      "fos_yielding": 5.559236093241751,
      "deflection": 0.009534421667573931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_408",
      "improvement_over_parent": null
    },
    "node_410": {
      "node_id": "node_410",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0020)]\n\nPerformance:\n  Mass: 349.36 kg\n  Factor of Safety: 0.73\n  Max Deflection: 9.50e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 349.35911266322313,
      "fos_buckling": 0.7340228411436438,
      "fos_yielding": 5.515849655660534,
      "deflection": 0.009499681355712435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.208)"
      },
      "parent_node_id": "node_409",
      "improvement_over_parent": null
    },
    "node_411": {
      "node_id": "node_411",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0106)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0026)]\n\nPerformance:\n  Mass: 440.91 kg\n  Factor of Safety: 0.92\n  Max Deflection: 7.56e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.9075584919238,
      "fos_buckling": 0.9196250302814576,
      "fos_yielding": 7.015366701472255,
      "deflection": 0.007562018646473839,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_410",
      "improvement_over_parent": null
    },
    "node_412": {
      "node_id": "node_412",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0051)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0138)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n\nPerformance:\n  Mass: 560.43 kg\n  Factor of Safety: 1.16\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 560.4304683490548,
      "fos_buckling": 1.157542610582972,
      "fos_yielding": 9.01258728842584,
      "deflection": 0.005984786909618952,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_411",
      "improvement_over_parent": null
    },
    "node_413": {
      "node_id": "node_413",
      "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0080)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0138)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n\nPerformance:\n  Mass: 564.82 kg\n  Factor of Safety: 1.14\n  Max Deflection: 5.95e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 564.8199258456682,
      "fos_buckling": 1.141835778991189,
      "fos_yielding": 8.890294433328043,
      "deflection": 0.005946689895182483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.550)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 61)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 400.88 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 400.8766186764693,
      "fos_buckling": 0.8545580133060061,
      "fos_yielding": 10.370456666892066,
      "deflection": 0.010905566728691073,
      "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n\nPerformance:\n  Mass: 411.58 kg\n  Factor of Safety: 0.85\n  Max Deflection: 8.99e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.5802140914487,
      "fos_buckling": 0.8534005918096514,
      "fos_yielding": 10.356410821804449,
      "deflection": 0.008993872660958201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005093)"
      },
      "parent_node_id": "node_415",
      "improvement_over_parent": null
    },
    "node_417": {
      "node_id": "node_417",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.90 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.90305362623576,
      "fos_buckling": 0.9973537821973263,
      "fos_yielding": 12.48556839310746,
      "deflection": 0.007459554259232242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_416",
      "improvement_over_parent": null
    },
    "node_418": {
      "node_id": "node_418",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5058180867387,
      "fos_buckling": 1.5381726210985882,
      "fos_yielding": 14.27660623276132,
      "deflection": 0.005951580654862096,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_417",
      "improvement_over_parent": null
    },
    "node_419": {
      "node_id": "node_419",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_418",
      "improvement_over_parent": null
    },
    "node_420": {
      "node_id": "node_420",
      "content": "INITIAL DESIGN (Trace 62)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 278.28 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 278.28440311247846,
      "fos_buckling": 0.706056946689416,
      "fos_yielding": 8.324599243501565,
      "deflection": 0.013804201530903948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_421": {
      "node_id": "node_421",
      "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 285.88 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 285.8828480261975,
      "fos_buckling": 0.7057148151319977,
      "fos_yielding": 8.320565421417642,
      "deflection": 0.013810875869622307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.339)"
      },
      "parent_node_id": "node_420",
      "improvement_over_parent": null
    },
    "node_422": {
      "node_id": "node_422",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 352.35 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.34642592838276,
      "fos_buckling": 0.8436647122016939,
      "fos_yielding": 10.212323651596337,
      "deflection": 0.011259373941153703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_421",
      "improvement_over_parent": null
    },
    "node_423": {
      "node_id": "node_423",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 434.50 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.4972416091447,
      "fos_buckling": 1.0009263847192933,
      "fos_yielding": 12.5289553283184,
      "deflection": 0.009184339840809424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_422",
      "improvement_over_parent": null
    },
    "node_424": {
      "node_id": "node_424",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.10 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.10000606964763,
      "fos_buckling": 0.9979250023011373,
      "fos_yielding": 12.491385945780012,
      "deflection": 0.007458214861664789,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_423",
      "improvement_over_parent": null
    },
    "node_425": {
      "node_id": "node_425",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 530.22 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.2228434768242,
      "fos_buckling": 1.473706058396023,
      "fos_yielding": 14.834574839844109,
      "deflection": 0.006073423809520145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006949)"
      },
      "parent_node_id": "node_424",
      "improvement_over_parent": null
    },
    "node_426": {
      "node_id": "node_426",
      "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0118)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 545.40 kg\n  Factor of Safety: 1.47\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.4015613267401,
      "fos_buckling": 1.4699185574975413,
      "fos_yielding": 14.40110579425111,
      "deflection": 0.005992339293983494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.364)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 63)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 308.27 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 308.27389112221425,
      "fos_buckling": 0.3554776364231402,
      "fos_yielding": 3.698765662556658,
      "deflection": 0.016740206628833368,
      "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: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 323.28 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 323.2761925664242,
      "fos_buckling": 0.35514194778679137,
      "fos_yielding": 3.6952728026008783,
      "deflection": 0.016085293742183315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.560)"
      },
      "parent_node_id": "node_428",
      "improvement_over_parent": null
    },
    "node_430": {
      "node_id": "node_430",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 381.85 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 381.8466387780013,
      "fos_buckling": 1.0112026480408185,
      "fos_yielding": 10.13072387131153,
      "deflection": 0.008458042059269715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007384)"
      },
      "parent_node_id": "node_429",
      "improvement_over_parent": null
    },
    "node_431": {
      "node_id": "node_431",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 470.83 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.90e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 470.833133103952,
      "fos_buckling": 1.2110611758943899,
      "fos_yielding": 12.514399059158576,
      "deflection": 0.006896573055098146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_430",
      "improvement_over_parent": null
    },
    "node_432": {
      "node_id": "node_432",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.14 kg\n  Factor of Safety: 1.37\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.1440337842442,
      "fos_buckling": 1.3661805838091514,
      "fos_yielding": 14.48445780486833,
      "deflection": 0.005993825014311111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_431",
      "improvement_over_parent": null
    },
    "node_433": {
      "node_id": "node_433",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6481090773666,
      "fos_buckling": 1.5383891496044706,
      "fos_yielding": 14.2801491596974,
      "deflection": 0.0059500822554226646,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.385)"
      },
      "parent_node_id": "node_432",
      "improvement_over_parent": null
    },
    "node_434": {
      "node_id": "node_434",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_433",
      "improvement_over_parent": null
    },
    "node_435": {
      "node_id": "node_435",
      "content": "INITIAL DESIGN (Trace 64)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_436": {
      "node_id": "node_436",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 398.75 kg\n  Factor of Safety: 0.60\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": 398.748726752415,
      "fos_buckling": 0.5954630309595418,
      "fos_yielding": 7.1036692898759615,
      "deflection": 0.012199504690460918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_435",
      "improvement_over_parent": null
    },
    "node_437": {
      "node_id": "node_437",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8813796450356,
      "fos_buckling": 0.5930545282405624,
      "fos_yielding": 7.075369929738384,
      "deflection": 0.011030294185434077,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_436",
      "improvement_over_parent": null
    },
    "node_438": {
      "node_id": "node_438",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2766120783971,
      "fos_buckling": 1.5376652864382843,
      "fos_yielding": 14.269784411122624,
      "deflection": 0.005954069601286748,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_437",
      "improvement_over_parent": null
    },
    "node_439": {
      "node_id": "node_439",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_438",
      "improvement_over_parent": null
    },
    "node_440": {
      "node_id": "node_440",
      "content": "INITIAL DESIGN (Trace 65)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 412.91 kg\n  Factor of Safety: 0.59\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": 412.90660147739914,
      "fos_buckling": 0.5948403390756982,
      "fos_yielding": 7.096353133802768,
      "deflection": 0.012206365695019315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_441": {
      "node_id": "node_441",
      "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 415.28 kg\n  Factor of Safety: 0.59\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": 415.28297600745407,
      "fos_buckling": 0.5948403390756983,
      "fos_yielding": 7.096353133802769,
      "deflection": 0.012206365695019313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.359)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.89 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.885740467957,
      "fos_buckling": 0.5930544861557415,
      "fos_yielding": 7.075369435221012,
      "deflection": 0.011030255093237459,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_441",
      "improvement_over_parent": null
    },
    "node_443": {
      "node_id": "node_443",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2809729013185,
      "fos_buckling": 1.5376635535031307,
      "fos_yielding": 14.26955545257856,
      "deflection": 0.005954019805461383,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_442",
      "improvement_over_parent": null
    },
    "node_444": {
      "node_id": "node_444",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_443",
      "improvement_over_parent": null
    },
    "node_445": {
      "node_id": "node_445",
      "content": "INITIAL DESIGN (Trace 66)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n\nPerformance:\n  Mass: 392.82 kg\n  Factor of Safety: 0.52\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": 392.8228882776372,
      "fos_buckling": 0.5235239137288088,
      "fos_yielding": 4.464655162735059,
      "deflection": 0.013505547704718804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_446": {
      "node_id": "node_446",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 458.31 kg\n  Factor of Safety: 0.59\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": 458.3149739656209,
      "fos_buckling": 0.5930210435770645,
      "fos_yielding": 5.229859927678586,
      "deflection": 0.011611220595038623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_445",
      "improvement_over_parent": null
    },
    "node_447": {
      "node_id": "node_447",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 541.71 kg\n  Factor of Safety: 1.28\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": 541.7102063989823,
      "fos_buckling": 1.276691297617507,
      "fos_yielding": 10.13810298220291,
      "deflection": 0.006114894077396076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_446",
      "improvement_over_parent": null
    },
    "node_448": {
      "node_id": "node_448",
      "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.93 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9261729021665,
      "fos_buckling": 1.5367762081961025,
      "fos_yielding": 14.256481144853154,
      "deflection": 0.005957730834087494,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.529)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 67)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0029)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 278.40 kg\n  Factor of Safety: 0.84\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": 278.4019142879985,
      "fos_buckling": 0.8446658640425496,
      "fos_yielding": 7.216364991395464,
      "deflection": 0.011442075828116422,
      "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 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 310.19 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 310.19164059458274,
      "fos_buckling": 0.9331934174943175,
      "fos_yielding": 8.047675261043223,
      "deflection": 0.010288887831878177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_450",
      "improvement_over_parent": null
    },
    "node_452": {
      "node_id": "node_452",
      "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 318.26 kg\n  Factor of Safety: 0.93\n  Max Deflection: 9.94e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 318.2626600384947,
      "fos_buckling": 0.9273652020838945,
      "fos_yielding": 8.396793451064285,
      "deflection": 0.009937698760008672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.280)"
      },
      "parent_node_id": "node_451",
      "improvement_over_parent": null
    },
    "node_453": {
      "node_id": "node_453",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 409.01 kg\n  Factor of Safety: 1.16\n  Max Deflection: 7.78e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 409.0061367989677,
      "fos_buckling": 1.164048466526419,
      "fos_yielding": 10.82054223029985,
      "deflection": 0.007775856931253252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_452",
      "improvement_over_parent": null
    },
    "node_454": {
      "node_id": "node_454",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 512.73 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.24e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 512.7254992571767,
      "fos_buckling": 1.4032769487260455,
      "fos_yielding": 13.607045503141416,
      "deflection": 0.00624215592371157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_453",
      "improvement_over_parent": null
    },
    "node_455": {
      "node_id": "node_455",
      "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 529.14 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 529.1424133631139,
      "fos_buckling": 1.4654223333323193,
      "fos_yielding": 12.981746888379535,
      "deflection": 0.006116623407469308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.577)"
      },
      "parent_node_id": "node_454",
      "improvement_over_parent": null
    },
    "node_456": {
      "node_id": "node_456",
      "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.58 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.01e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.5841390163583,
      "fos_buckling": 1.5241435891264747,
      "fos_yielding": 12.514951085160718,
      "deflection": 0.006007035734852292,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.348)"
      },
      "parent_node_id": "node_455",
      "improvement_over_parent": null
    },
    "node_457": {
      "node_id": "node_457",
      "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3742911265258,
      "fos_buckling": 1.537917388222177,
      "fos_yielding": 14.263534659066538,
      "deflection": 0.005953234665448893,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.176)"
      },
      "parent_node_id": "node_456",
      "improvement_over_parent": null
    },
    "node_458": {
      "node_id": "node_458",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_457",
      "improvement_over_parent": null
    },
    "node_459": {
      "node_id": "node_459",
      "content": "INITIAL DESIGN (Trace 68)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 203.83 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.59e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.82518005917018,
      "fos_buckling": 0.23295981368488466,
      "fos_yielding": 1.8089464768574308,
      "deflection": 45893762630889.36,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_460": {
      "node_id": "node_460",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n\nPerformance:\n  Mass: 238.51 kg\n  Factor of Safety: 0.35\n  Max Deflection: 2.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.51000223146266,
      "fos_buckling": 0.35222769276293286,
      "fos_yielding": 3.9074837543153307,
      "deflection": 0.020122787449627578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004915)"
      },
      "parent_node_id": "node_459",
      "improvement_over_parent": null
    },
    "node_461": {
      "node_id": "node_461",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 283.62 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 283.61534445468857,
      "fos_buckling": 0.8600312347575113,
      "fos_yielding": 7.130537467063533,
      "deflection": 0.011633984527318385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005605)"
      },
      "parent_node_id": "node_460",
      "improvement_over_parent": null
    },
    "node_462": {
      "node_id": "node_462",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 344.00 kg\n  Factor of Safety: 1.02\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": 344.0018564907377,
      "fos_buckling": 1.0202146302682897,
      "fos_yielding": 8.6588685323441,
      "deflection": 0.00962354840736387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_461",
      "improvement_over_parent": null
    },
    "node_463": {
      "node_id": "node_463",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 408.96 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.12e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 408.960046191259,
      "fos_buckling": 1.183788895425233,
      "fos_yielding": 10.307159154737883,
      "deflection": 0.008123603824202368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_462",
      "improvement_over_parent": null
    },
    "node_464": {
      "node_id": "node_464",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 524.43 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.37e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.425168735085,
      "fos_buckling": 1.4525715325172393,
      "fos_yielding": 13.248451873334275,
      "deflection": 0.0063743686879796655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_463",
      "improvement_over_parent": null
    },
    "node_465": {
      "node_id": "node_465",
      "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.6128478186288,
      "fos_buckling": 1.5362633827595937,
      "fos_yielding": 14.252332807428036,
      "deflection": 0.005961102302445625,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.572)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 69)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 357.77 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 357.7731410328631,
      "fos_buckling": 0.5455693252587686,
      "fos_yielding": 6.399782381671543,
      "deflection": 0.013562292229409467,
      "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 all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 398.80 kg\n  Factor of Safety: 0.60\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": 398.795108564601,
      "fos_buckling": 0.5955209663336384,
      "fos_yielding": 7.104504193563602,
      "deflection": 0.012198048584174281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_467",
      "improvement_over_parent": null
    },
    "node_469": {
      "node_id": "node_469",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.19 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.19034099796244,
      "fos_buckling": 0.9981329061937784,
      "fos_yielding": 12.49457630580365,
      "deflection": 0.007456531478209336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_468",
      "improvement_over_parent": null
    },
    "node_470": {
      "node_id": "node_470",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 525.99 kg\n  Factor of Safety: 1.45\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": 525.9918344294047,
      "fos_buckling": 1.4525742178361596,
      "fos_yielding": 15.052195013671309,
      "deflection": 0.0061144897183669986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006286)"
      },
      "parent_node_id": "node_469",
      "improvement_over_parent": null
    },
    "node_471": {
      "node_id": "node_471",
      "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0163)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 562.55 kg\n  Factor of Safety: 1.45\n  Max Deflection: 5.79e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 562.5489818014644,
      "fos_buckling": 1.4540704474508075,
      "fos_yielding": 16.032355642994105,
      "deflection": 0.00578913563092669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.508)"
      },
      "parent_node_id": "node_470",
      "improvement_over_parent": null
    },
    "node_472": {
      "node_id": "node_472",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_471",
      "improvement_over_parent": null
    },
    "node_473": {
      "node_id": "node_473",
      "content": "INITIAL DESIGN (Trace 70)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 302.68 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 302.6793590572562,
      "fos_buckling": 0.6560198996752787,
      "fos_yielding": 7.668345732287845,
      "deflection": 0.01214781111672752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_474": {
      "node_id": "node_474",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 335.22 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 335.2152494898101,
      "fos_buckling": 0.7170877117134864,
      "fos_yielding": 8.475294827179786,
      "deflection": 0.010990860938319436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_473",
      "improvement_over_parent": null
    },
    "node_475": {
      "node_id": "node_475",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n\nPerformance:\n  Mass: 367.19 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 367.1858829095985,
      "fos_buckling": 1.1065443525611398,
      "fos_yielding": 9.55646986724379,
      "deflection": 0.008762601774174626,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005649)"
      },
      "parent_node_id": "node_474",
      "improvement_over_parent": null
    },
    "node_476": {
      "node_id": "node_476",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n\nPerformance:\n  Mass: 440.62 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.33e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.6241703103369,
      "fos_buckling": 1.2917033429549005,
      "fos_yielding": 11.485828558914852,
      "deflection": 0.0073347040173320005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_475",
      "improvement_over_parent": null
    },
    "node_477": {
      "node_id": "node_477",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5646218797323,
      "fos_buckling": 1.5382746994183367,
      "fos_yielding": 14.279791241340481,
      "deflection": 0.005950880299625624,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_476",
      "improvement_over_parent": null
    },
    "node_478": {
      "node_id": "node_478",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_477",
      "improvement_over_parent": null
    },
    "node_479": {
      "node_id": "node_479",
      "content": "INITIAL DESIGN (Trace 71)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 385.08 kg\n  Factor of Safety: 0.60\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": 385.0808316254428,
      "fos_buckling": 0.5959788600163287,
      "fos_yielding": 7.109729713575779,
      "deflection": 0.012188942831355503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_480": {
      "node_id": "node_480",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 468.48 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 468.47606405880424,
      "fos_buckling": 0.9988958057524646,
      "fos_yielding": 12.503850640898019,
      "deflection": 0.007450880200488257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_479",
      "improvement_over_parent": null
    },
    "node_481": {
      "node_id": "node_481",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 532.61 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.6087169514249,
      "fos_buckling": 1.36353478460416,
      "fos_yielding": 14.882214246946592,
      "deflection": 0.006073884478181657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_480",
      "improvement_over_parent": null
    },
    "node_482": {
      "node_id": "node_482",
      "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2510926772899,
      "fos_buckling": 1.5376086351902276,
      "fos_yielding": 14.2706408405245,
      "deflection": 0.005954241103828181,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.441)"
      },
      "parent_node_id": "node_481",
      "improvement_over_parent": null
    },
    "node_483": {
      "node_id": "node_483",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_482",
      "improvement_over_parent": null
    },
    "node_484": {
      "node_id": "node_484",
      "content": "INITIAL DESIGN (Trace 72)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 478.14 kg\n  Factor of Safety: 0.93\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": 478.1386214715718,
      "fos_buckling": 0.9255294559293759,
      "fos_yielding": 11.373308840692793,
      "deflection": 0.01007675840102135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_485": {
      "node_id": "node_485",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n\nPerformance:\n  Mass: 486.00 kg\n  Factor of Safety: 1.16\n  Max Deflection: 6.79e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 486.00381277909804,
      "fos_buckling": 1.160128575014335,
      "fos_yielding": 9.107948330698852,
      "deflection": 0.006792809840603353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003668)"
      },
      "parent_node_id": "node_484",
      "improvement_over_parent": null
    },
    "node_486": {
      "node_id": "node_486",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n\nPerformance:\n  Mass: 542.20 kg\n  Factor of Safety: 1.28\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": 542.2032505108574,
      "fos_buckling": 1.283890030059672,
      "fos_yielding": 10.204274423413436,
      "deflection": 0.006107159256064163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_485",
      "improvement_over_parent": null
    },
    "node_487": {
      "node_id": "node_487",
      "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0082)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n\nPerformance:\n  Mass: 546.50 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.4993786368312,
      "fos_buckling": 1.2681115595572123,
      "fos_yielding": 10.078868166476187,
      "deflection": 0.00607049804567206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.517)"
      },
      "parent_node_id": "node_486",
      "improvement_over_parent": null
    },
    "node_488": {
      "node_id": "node_488",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_487",
      "improvement_over_parent": null
    },
    "node_489": {
      "node_id": "node_489",
      "content": "INITIAL DESIGN (Trace 73)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 365.07 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.11e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 365.06877885227436,
      "fos_buckling": 1.0093910113566575,
      "fos_yielding": 9.156419699294428,
      "deflection": 0.009114341789465658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_490": {
      "node_id": "node_490",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 439.63 kg\n  Factor of Safety: 1.18\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 439.62766371520706,
      "fos_buckling": 1.1849360248583711,
      "fos_yielding": 11.04321181391896,
      "deflection": 0.007598929163392663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_489",
      "improvement_over_parent": null
    },
    "node_491": {
      "node_id": "node_491",
      "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 457.91 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 457.90649319622815,
      "fos_buckling": 1.102026171776518,
      "fos_yielding": 11.682918875015906,
      "deflection": 0.007214398210530167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.548)"
      },
      "parent_node_id": "node_490",
      "improvement_over_parent": null
    },
    "node_492": {
      "node_id": "node_492",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 521.49 kg\n  Factor of Safety: 1.23\n  Max Deflection: 6.36e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 521.4860733757795,
      "fos_buckling": 1.2349340815168843,
      "fos_yielding": 13.326799903017898,
      "deflection": 0.006356819493038389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_491",
      "improvement_over_parent": null
    },
    "node_493": {
      "node_id": "node_493",
      "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.71 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.7133078469918,
      "fos_buckling": 1.5386978611484665,
      "fos_yielding": 14.28109741565098,
      "deflection": 0.005949554171011331,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.475)"
      },
      "parent_node_id": "node_492",
      "improvement_over_parent": null
    },
    "node_494": {
      "node_id": "node_494",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_493",
      "improvement_over_parent": null
    },
    "node_495": {
      "node_id": "node_495",
      "content": "INITIAL DESIGN (Trace 74)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 312.63 kg\n  Factor of Safety: 0.70\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": 312.63286420333304,
      "fos_buckling": 0.6955064095877629,
      "fos_yielding": 8.187066964160625,
      "deflection": 0.011380131511371405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_496": {
      "node_id": "node_496",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 406.25 kg\n  Factor of Safety: 0.87\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": 406.2459538203257,
      "fos_buckling": 0.8688979637237176,
      "fos_yielding": 10.57635061358252,
      "deflection": 0.008808974801116939,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_495",
      "improvement_over_parent": null
    },
    "node_497": {
      "node_id": "node_497",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 460.27 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.03e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.2708660702579,
      "fos_buckling": 1.3392882229011618,
      "fos_yielding": 12.001756753467022,
      "deflection": 0.007030051967685386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007869)"
      },
      "parent_node_id": "node_496",
      "improvement_over_parent": null
    },
    "node_498": {
      "node_id": "node_498",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1810118855956,
      "fos_buckling": 1.5374681888294095,
      "fos_yielding": 14.26817158569394,
      "deflection": 0.005955000151353682,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_497",
      "improvement_over_parent": null
    },
    "node_499": {
      "node_id": "node_499",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_498",
      "improvement_over_parent": null
    },
    "node_500": {
      "node_id": "node_500",
      "content": "INITIAL DESIGN (Trace 75)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 367.05 kg\n  Factor of Safety: 1.06\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 367.0535765242946,
      "fos_buckling": 1.055966767018679,
      "fos_yielding": 9.409932167498413,
      "deflection": 0.008884390302014336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_501": {
      "node_id": "node_501",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 374.57 kg\n  Factor of Safety: 1.02\n  Max Deflection: 8.66e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.56539176635755,
      "fos_buckling": 1.0205859024978292,
      "fos_yielding": 9.674255307750615,
      "deflection": 0.008657902120219964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.222)"
      },
      "parent_node_id": "node_500",
      "improvement_over_parent": null
    },
    "node_502": {
      "node_id": "node_502",
      "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 384.20 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.38e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.1955433887063,
      "fos_buckling": 1.1504747988626378,
      "fos_yielding": 10.000741188482044,
      "deflection": 0.008383810491998569,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.209)"
      },
      "parent_node_id": "node_501",
      "improvement_over_parent": null
    },
    "node_503": {
      "node_id": "node_503",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 447.72 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.71564447111086,
      "fos_buckling": 1.3089691818018145,
      "fos_yielding": 11.670055053201501,
      "deflection": 0.007222057436014465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_502",
      "improvement_over_parent": null
    },
    "node_504": {
      "node_id": "node_504",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3823406929645,
      "fos_buckling": 1.5378989845445024,
      "fos_yielding": 14.272057254990195,
      "deflection": 0.00595315275726639,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_503",
      "improvement_over_parent": null
    },
    "node_505": {
      "node_id": "node_505",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_504",
      "improvement_over_parent": null
    },
    "node_506": {
      "node_id": "node_506",
      "content": "INITIAL DESIGN (Trace 76)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 291.16 kg\n  Factor of Safety: 0.90\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": 291.1569788661449,
      "fos_buckling": 0.9024143902755014,
      "fos_yielding": 7.564165083518109,
      "deflection": 0.011000032028232312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_507": {
      "node_id": "node_507",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 361.26 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.2639434172377,
      "fos_buckling": 1.0911394934486185,
      "fos_yielding": 9.39960146045512,
      "deflection": 0.008903265885713321,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_506",
      "improvement_over_parent": null
    },
    "node_508": {
      "node_id": "node_508",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 454.79 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 454.78924147824097,
      "fos_buckling": 1.3261195418485834,
      "fos_yielding": 11.856732494280832,
      "deflection": 0.007112515908088972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_507",
      "improvement_over_parent": null
    },
    "node_509": {
      "node_id": "node_509",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.31 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3078668143842,
      "fos_buckling": 1.5377669934277856,
      "fos_yielding": 14.270701905011663,
      "deflection": 0.005953731867009857,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 77)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 330.29 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 330.28728880599846,
      "fos_buckling": 0.783968188262717,
      "fos_yielding": 7.031271838175264,
      "deflection": 0.010947583182056965,
      "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 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 335.63 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 335.6317382402,
      "fos_buckling": 0.7837018280268823,
      "fos_yielding": 7.028882900392998,
      "deflection": 0.010865119940673471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.190)"
      },
      "parent_node_id": "node_511",
      "improvement_over_parent": null
    },
    "node_513": {
      "node_id": "node_513",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n\nPerformance:\n  Mass: 374.75 kg\n  Factor of Safety: 0.97\n  Max Deflection: 8.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.74903981410694,
      "fos_buckling": 0.974088342518635,
      "fos_yielding": 10.562988010678191,
      "deflection": 0.008640476217529607,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005577)"
      },
      "parent_node_id": "node_512",
      "improvement_over_parent": null
    },
    "node_514": {
      "node_id": "node_514",
      "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n\nPerformance:\n  Mass: 386.13 kg\n  Factor of Safety: 1.21\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 386.1276422207186,
      "fos_buckling": 1.2061829580082033,
      "fos_yielding": 10.352442578815404,
      "deflection": 0.008434967168968485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.506)"
      },
      "parent_node_id": "node_513",
      "improvement_over_parent": null
    },
    "node_515": {
      "node_id": "node_515",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 471.38 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.94e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.38382898682335,
      "fos_buckling": 1.422615621588697,
      "fos_yielding": 12.650356494999686,
      "deflection": 0.006943070536012441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_514",
      "improvement_over_parent": null
    },
    "node_516": {
      "node_id": "node_516",
      "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0105)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 483.69 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.87e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 483.6901601479403,
      "fos_buckling": 1.4539423959457392,
      "fos_yielding": 12.376977571937333,
      "deflection": 0.006866747166448383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.235)"
      },
      "parent_node_id": "node_515",
      "improvement_over_parent": null
    },
    "node_517": {
      "node_id": "node_517",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0105)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 497.58 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.55e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 497.58314145983195,
      "fos_buckling": 1.379703380744967,
      "fos_yielding": 12.971096305790319,
      "deflection": 0.006552277591429873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.357)"
      },
      "parent_node_id": "node_516",
      "improvement_over_parent": null
    },
    "node_518": {
      "node_id": "node_518",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0117)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 548.21 kg\n  Factor of Safety: 1.49\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 548.2074484130478,
      "fos_buckling": 1.4912946925539443,
      "fos_yielding": 14.30923109692836,
      "deflection": 0.005964475911462594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_517",
      "improvement_over_parent": null
    },
    "node_519": {
      "node_id": "node_519",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_518",
      "improvement_over_parent": null
    },
    "node_520": {
      "node_id": "node_520",
      "content": "INITIAL DESIGN (Trace 78)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 293.86 kg\n  Factor of Safety: 0.21\n  Max Deflection: 7.13e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 293.86042690051636,
      "fos_buckling": 0.21412846300340585,
      "fos_yielding": 3.473798228865035,
      "deflection": 71252821077637.08,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_521": {
      "node_id": "node_521",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 377.26 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.87e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 377.2556593338778,
      "fos_buckling": 0.4302920486083999,
      "fos_yielding": 3.6178929537148616,
      "deflection": 28739799637267.87,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_520",
      "improvement_over_parent": null
    },
    "node_522": {
      "node_id": "node_522",
      "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 398.70 kg\n  Factor of Safety: 0.20\n  Max Deflection: 7.00e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.6999643594454,
      "fos_buckling": 0.20375420343478667,
      "fos_yielding": 1.8089464768574308,
      "deflection": 69976678747442.12,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.582)"
      },
      "parent_node_id": "node_521",
      "improvement_over_parent": null
    },
    "node_523": {
      "node_id": "node_523",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 446.09 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 446.0903099226641,
      "fos_buckling": 0.5936832323226026,
      "fos_yielding": 7.097536563420663,
      "deflection": 0.012165715530170342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006836)"
      },
      "parent_node_id": "node_522",
      "improvement_over_parent": null
    },
    "node_524": {
      "node_id": "node_524",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.81 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.80515494496626,
      "fos_buckling": 0.5930573792953974,
      "fos_yielding": 7.075428560039372,
      "deflection": 0.011032432007663542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.387)"
      },
      "parent_node_id": "node_523",
      "improvement_over_parent": null
    },
    "node_525": {
      "node_id": "node_525",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2003873783277,
      "fos_buckling": 1.537561015280489,
      "fos_yielding": 14.268923763512996,
      "deflection": 0.005954889002778085,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 79)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 387.37 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.3721140844759,
      "fos_buckling": 0.8549057132503926,
      "fos_yielding": 10.374890117466089,
      "deflection": 0.009020299018957494,
      "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 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 469.57 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.5656573050582,
      "fos_buckling": 0.9988361332392838,
      "fos_yielding": 12.502778035279349,
      "deflection": 0.007483538725497421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_527",
      "improvement_over_parent": null
    },
    "node_529": {
      "node_id": "node_529",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 470.99 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 470.98688305718764,
      "fos_buckling": 0.9988361332392838,
      "fos_yielding": 12.502778035279347,
      "deflection": 0.007483538725497421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.190)"
      },
      "parent_node_id": "node_528",
      "improvement_over_parent": null
    },
    "node_530": {
      "node_id": "node_530",
      "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 474.43 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 474.43358574467703,
      "fos_buckling": 0.9984021981782254,
      "fos_yielding": 12.49734631973603,
      "deflection": 0.007453308474758426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.397)"
      },
      "parent_node_id": "node_529",
      "improvement_over_parent": null
    },
    "node_531": {
      "node_id": "node_531",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 522.04 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.16e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 522.03635020518,
      "fos_buckling": 1.4314654052942455,
      "fos_yielding": 15.275238992547324,
      "deflection": 0.006158291751660076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_530",
      "improvement_over_parent": null
    },
    "node_532": {
      "node_id": "node_532",
      "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0180)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 569.03 kg\n  Factor of Safety: 1.55\n  Max Deflection: 5.71e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 569.030272949747,
      "fos_buckling": 1.5486663644154814,
      "fos_yielding": 16.380027128735847,
      "deflection": 0.005707947917825873,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.664)"
      },
      "parent_node_id": "node_531",
      "improvement_over_parent": null
    },
    "node_533": {
      "node_id": "node_533",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_532",
      "improvement_over_parent": null
    },
    "node_534": {
      "node_id": "node_534",
      "content": "INITIAL DESIGN (Trace 80)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 299.53 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 299.5258017305124,
      "fos_buckling": 0.9392177123597579,
      "fos_yielding": 7.7087037524254605,
      "deflection": 0.010790017417870392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_535": {
      "node_id": "node_535",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 378.46 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.45974053031625,
      "fos_buckling": 1.151808250941445,
      "fos_yielding": 9.755406587667132,
      "deflection": 0.008579526984044926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_534",
      "improvement_over_parent": null
    },
    "node_536": {
      "node_id": "node_536",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 430.64 kg\n  Factor of Safety: 1.28\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": 430.64007940432293,
      "fos_buckling": 1.2845640013009956,
      "fos_yielding": 11.112015453707317,
      "deflection": 0.007563122274800417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_535",
      "improvement_over_parent": null
    },
    "node_537": {
      "node_id": "node_537",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 536.34 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.11e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 536.3364704462249,
      "fos_buckling": 1.5347819174529418,
      "fos_yielding": 13.868951624905458,
      "deflection": 0.006110258164259086,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_536",
      "improvement_over_parent": null
    },
    "node_538": {
      "node_id": "node_538",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.86 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8626148790212,
      "fos_buckling": 1.5367815073272042,
      "fos_yielding": 14.25892998795963,
      "deflection": 0.00595843037948475,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.200)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 81)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 291.36 kg\n  Factor of Safety: 0.90\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": 291.3599480954548,
      "fos_buckling": 0.9029764931190339,
      "fos_yielding": 7.569470985581568,
      "deflection": 0.010992505168871418,
      "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 all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 376.96 kg\n  Factor of Safety: 1.13\n  Max Deflection: 8.54e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.9635269144012,
      "fos_buckling": 1.1319175329620796,
      "fos_yielding": 9.811379567853951,
      "deflection": 0.008540601562181704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 427.57 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 427.57427176559435,
      "fos_buckling": 1.2597057090151988,
      "fos_yielding": 11.140714820584577,
      "deflection": 0.007552793682306774,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_541",
      "improvement_over_parent": null
    },
    "node_543": {
      "node_id": "node_543",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.99 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.992593305324,
      "fos_buckling": 1.5370685985289165,
      "fos_yielding": 14.262369701781166,
      "deflection": 0.005957056961023079,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 82)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 306.13 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 306.1289387423632,
      "fos_buckling": 0.6151244486672388,
      "fos_yielding": 6.337879427706182,
      "deflection": 0.01490010853051761,
      "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 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 364.88 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 364.88104308054017,
      "fos_buckling": 0.7210204967066476,
      "fos_yielding": 7.574172101454714,
      "deflection": 0.012510371874864265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_545",
      "improvement_over_parent": null
    },
    "node_547": {
      "node_id": "node_547",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 418.93 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.931377054819,
      "fos_buckling": 0.7629889314014423,
      "fos_yielding": 8.0150418806898,
      "deflection": 0.012410688105969108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007873)"
      },
      "parent_node_id": "node_546",
      "improvement_over_parent": null
    },
    "node_548": {
      "node_id": "node_548",
      "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 434.52 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.52144159145973,
      "fos_buckling": 0.7354186872039852,
      "fos_yielding": 9.200971424602905,
      "deflection": 0.011466210939139193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.460)"
      },
      "parent_node_id": "node_547",
      "improvement_over_parent": null
    },
    "node_549": {
      "node_id": "node_549",
      "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0102)]\n\nPerformance:\n  Mass: 448.79 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.7890221947281,
      "fos_buckling": 0.7357905470179104,
      "fos_yielding": 9.205623837685978,
      "deflection": 0.011465822752226094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.292)"
      },
      "parent_node_id": "node_548",
      "improvement_over_parent": null
    },
    "node_550": {
      "node_id": "node_550",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0102)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n\nPerformance:\n  Mass: 459.72 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 459.71832432398355,
      "fos_buckling": 1.145990313671215,
      "fos_yielding": 11.185171411317876,
      "deflection": 0.0072401095987492245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005209)"
      },
      "parent_node_id": "node_549",
      "improvement_over_parent": null
    },
    "node_551": {
      "node_id": "node_551",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0123)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 545.36 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.3625717264475,
      "fos_buckling": 1.3275077676577203,
      "fos_yielding": 13.31270454575334,
      "deflection": 0.006130121926500702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_550",
      "improvement_over_parent": null
    },
    "node_552": {
      "node_id": "node_552",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_551",
      "improvement_over_parent": null
    },
    "node_553": {
      "node_id": "node_553",
      "content": "INITIAL DESIGN (Trace 83)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 297.68 kg\n  Factor of Safety: 0.95\n  Max Deflection: 2.10e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 297.6768880847771,
      "fos_buckling": 0.9478923438928155,
      "fos_yielding": 10.438142577660603,
      "deflection": 20953911264903.62,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_554": {
      "node_id": "node_554",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 352.04 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.04481867543495,
      "fos_buckling": 0.5201593462316315,
      "fos_yielding": 6.053214997425199,
      "deflection": 0.014343817726325248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007923)"
      },
      "parent_node_id": "node_553",
      "improvement_over_parent": null
    },
    "node_555": {
      "node_id": "node_555",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 422.74 kg\n  Factor of Safety: 0.87\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 422.7446358272432,
      "fos_buckling": 0.8725082507195787,
      "fos_yielding": 10.629891054835465,
      "deflection": 0.008762374102850455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009035)"
      },
      "parent_node_id": "node_554",
      "improvement_over_parent": null
    },
    "node_556": {
      "node_id": "node_556",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.95 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.94650457218984,
      "fos_buckling": 0.9974199265406951,
      "fos_yielding": 12.486586252007987,
      "deflection": 0.00745893047732722,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_555",
      "improvement_over_parent": null
    },
    "node_557": {
      "node_id": "node_557",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5492690326928,
      "fos_buckling": 1.5382629749623533,
      "fos_yielding": 14.278492677181548,
      "deflection": 0.005951096829576527,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 84)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 334.43 kg\n  Factor of Safety: 1.02\n  Max Deflection: 9.78e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 334.43351466233094,
      "fos_buckling": 1.0188771692065373,
      "fos_yielding": 8.784834356514226,
      "deflection": 0.009784187168104693,
      "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 all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 437.69 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.52e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 437.6892817389172,
      "fos_buckling": 1.2816427899775462,
      "fos_yielding": 11.512424343404716,
      "deflection": 0.007519548143089234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_559",
      "improvement_over_parent": null
    },
    "node_561": {
      "node_id": "node_561",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 516.95 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.39e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 516.9513913668765,
      "fos_buckling": 1.4673789656853873,
      "fos_yielding": 13.611271914476358,
      "deflection": 0.0063947625911636545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_560",
      "improvement_over_parent": null
    },
    "node_562": {
      "node_id": "node_562",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 526.54 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 526.5360007539293,
      "fos_buckling": 1.4693982103703132,
      "fos_yielding": 13.345957545809123,
      "deflection": 0.006331236027108905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.193)"
      },
      "parent_node_id": "node_561",
      "improvement_over_parent": null
    },
    "node_563": {
      "node_id": "node_563",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5536266944697,
      "fos_buckling": 1.5382788005772687,
      "fos_yielding": 14.27921990859853,
      "deflection": 0.005950988008074083,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.524)"
      },
      "parent_node_id": "node_562",
      "improvement_over_parent": null
    },
    "node_564": {
      "node_id": "node_564",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_563",
      "improvement_over_parent": null
    },
    "node_565": {
      "node_id": "node_565",
      "content": "INITIAL DESIGN (Trace 85)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 441.31 kg\n  Factor of Safety: 1.12\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 441.31179363279773,
      "fos_buckling": 1.1184443119714096,
      "fos_yielding": 12.330208644603486,
      "deflection": 0.007348290609735291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_566": {
      "node_id": "node_566",
      "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 459.43 kg\n  Factor of Safety: 1.31\n  Max Deflection: 6.96e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 459.42798047064935,
      "fos_buckling": 1.307339873968333,
      "fos_yielding": 13.038223707212563,
      "deflection": 0.0069646781524695745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.359)"
      },
      "parent_node_id": "node_565",
      "improvement_over_parent": null
    },
    "node_567": {
      "node_id": "node_567",
      "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 468.25 kg\n  Factor of Safety: 1.31\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 468.25291040648335,
      "fos_buckling": 1.310077700533349,
      "fos_yielding": 12.738673193251214,
      "deflection": 0.006884816551218696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.203)"
      },
      "parent_node_id": "node_566",
      "improvement_over_parent": null
    },
    "node_568": {
      "node_id": "node_568",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 536.98 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 536.9825715674739,
      "fos_buckling": 1.4712011587739526,
      "fos_yielding": 14.62553934657736,
      "deflection": 0.006028624893753989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_567",
      "improvement_over_parent": null
    },
    "node_569": {
      "node_id": "node_569",
      "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9763394650054,
      "fos_buckling": 1.5370395270151778,
      "fos_yielding": 14.263895869435236,
      "deflection": 0.005957053419718082,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.256)"
      },
      "parent_node_id": "node_568",
      "improvement_over_parent": null
    },
    "node_570": {
      "node_id": "node_570",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_569",
      "improvement_over_parent": null
    },
    "node_571": {
      "node_id": "node_571",
      "content": "INITIAL DESIGN (Trace 86)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 436.43 kg\n  Factor of Safety: 1.01\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": 436.4255564479875,
      "fos_buckling": 1.0137235498182913,
      "fos_yielding": 11.780674675151262,
      "deflection": 0.007576185743258391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_572": {
      "node_id": "node_572",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 506.77 kg\n  Factor of Safety: 1.16\n  Max Deflection: 6.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 506.765612993403,
      "fos_buckling": 1.1572696006485905,
      "fos_yielding": 13.698622348068335,
      "deflection": 0.0065485503772157415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_571",
      "improvement_over_parent": null
    },
    "node_573": {
      "node_id": "node_573",
      "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.91 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.9056875013734,
      "fos_buckling": 1.3989486059007337,
      "fos_yielding": 14.788837778221117,
      "deflection": 0.006059451152505855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.529)"
      },
      "parent_node_id": "node_572",
      "improvement_over_parent": null
    },
    "node_574": {
      "node_id": "node_574",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.05 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0467033707171,
      "fos_buckling": 1.5371008319538457,
      "fos_yielding": 14.264294379062957,
      "deflection": 0.005956386866478711,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.376)"
      },
      "parent_node_id": "node_573",
      "improvement_over_parent": null
    },
    "node_575": {
      "node_id": "node_575",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_574",
      "improvement_over_parent": null
    },
    "node_576": {
      "node_id": "node_576",
      "content": "INITIAL DESIGN (Trace 87)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 490.36 kg\n  Factor of Safety: 0.91\n  Max Deflection: 6.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 490.35837844098813,
      "fos_buckling": 0.91277530675016,
      "fos_yielding": 9.563313228406125,
      "deflection": 0.0068001815369022585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_577": {
      "node_id": "node_577",
      "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 510.60 kg\n  Factor of Safety: 0.92\n  Max Deflection: 6.64e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 510.60349971817584,
      "fos_buckling": 0.915592436690834,
      "fos_yielding": 9.59282881217417,
      "deflection": 0.006643897186689413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.506)"
      },
      "parent_node_id": "node_576",
      "improvement_over_parent": null
    },
    "node_578": {
      "node_id": "node_578",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 511.81 kg\n  Factor of Safety: 1.07\n  Max Deflection: 6.59e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 511.8072400786415,
      "fos_buckling": 1.0727193916117193,
      "fos_yielding": 11.478474312602426,
      "deflection": 0.006588626148784868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.238)"
      },
      "parent_node_id": "node_577",
      "improvement_over_parent": null
    },
    "node_579": {
      "node_id": "node_579",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 514.88 kg\n  Factor of Safety: 1.15\n  Max Deflection: 6.51e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 514.8806880175605,
      "fos_buckling": 1.1527081566164132,
      "fos_yielding": 13.008939426850105,
      "deflection": 0.006505604956209388,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.513)"
      },
      "parent_node_id": "node_578",
      "improvement_over_parent": null
    },
    "node_580": {
      "node_id": "node_580",
      "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2397726871336,
      "fos_buckling": 1.5373390129572462,
      "fos_yielding": 14.268594251001595,
      "deflection": 0.005954455560981381,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.661)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 88)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 323.82 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.91e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 323.81730018859514,
      "fos_buckling": 0.8160535345845626,
      "fos_yielding": 9.48595294558189,
      "deflection": 1906665938774.2224,
      "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 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 360.40 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 360.40149522658567,
      "fos_buckling": 0.8055856876479088,
      "fos_yielding": 9.680004916212159,
      "deflection": 0.011702653511388722,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006522)"
      },
      "parent_node_id": "node_582",
      "improvement_over_parent": null
    },
    "node_584": {
      "node_id": "node_584",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n\nPerformance:\n  Mass: 370.37 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.80e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.367953613716,
      "fos_buckling": 0.8045671769134448,
      "fos_yielding": 9.667766380860796,
      "deflection": 0.00980454980008316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004717)"
      },
      "parent_node_id": "node_583",
      "improvement_over_parent": null
    },
    "node_585": {
      "node_id": "node_585",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n\nPerformance:\n  Mass: 429.23 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 429.23045608050614,
      "fos_buckling": 0.9090985376401568,
      "fos_yielding": 11.15917409068856,
      "deflection": 0.008491989217353066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_584",
      "improvement_over_parent": null
    },
    "node_586": {
      "node_id": "node_586",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0057)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n\nPerformance:\n  Mass: 430.75 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.47e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.745368388715,
      "fos_buckling": 0.9090985376401568,
      "fos_yielding": 11.159174090688559,
      "deflection": 0.00847133859572629,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.195)"
      },
      "parent_node_id": "node_585",
      "improvement_over_parent": null
    },
    "node_587": {
      "node_id": "node_587",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0065)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 483.80 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.57e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 483.7973021021667,
      "fos_buckling": 0.9977455379691867,
      "fos_yielding": 12.488899751599334,
      "deflection": 0.007567693092073043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_586",
      "improvement_over_parent": null
    },
    "node_588": {
      "node_id": "node_588",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0065)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 531.40 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.4000665626697,
      "fos_buckling": 1.4872574067463658,
      "fos_yielding": 14.817240001453772,
      "deflection": 0.006071077735650714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_587",
      "improvement_over_parent": null
    },
    "node_589": {
      "node_id": "node_589",
      "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0065)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0084)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 535.22 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.2164558552709,
      "fos_buckling": 1.4776613129318725,
      "fos_yielding": 16.27724784600273,
      "deflection": 0.005998201819312482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.335)"
      },
      "parent_node_id": "node_588",
      "improvement_over_parent": null
    },
    "node_590": {
      "node_id": "node_590",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_589",
      "improvement_over_parent": null
    },
    "node_591": {
      "node_id": "node_591",
      "content": "INITIAL DESIGN (Trace 89)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\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_592": {
      "node_id": "node_592",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 388.36 kg\n  Factor of Safety: 0.39\n  Max Deflection: 3.79e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 388.3562511264694,
      "fos_buckling": 0.3850678264613854,
      "fos_yielding": 4.8637997135302635,
      "deflection": 0.0379273807967681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007573)"
      },
      "parent_node_id": "node_591",
      "improvement_over_parent": null
    },
    "node_593": {
      "node_id": "node_593",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 403.11 kg\n  Factor of Safety: 0.46\n  Max Deflection: 3.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 403.11305054175205,
      "fos_buckling": 0.4647973282317872,
      "fos_yielding": 5.710218301283143,
      "deflection": 0.03527129668518209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.267)"
      },
      "parent_node_id": "node_592",
      "improvement_over_parent": null
    },
    "node_594": {
      "node_id": "node_594",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 477.83 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.83245205633165,
      "fos_buckling": 0.9250223444735057,
      "fos_yielding": 11.365619515658373,
      "deflection": 0.01008293964807063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009593)"
      },
      "parent_node_id": "node_593",
      "improvement_over_parent": null
    },
    "node_595": {
      "node_id": "node_595",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.06 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.0593513269152,
      "fos_buckling": 1.0112651390323706,
      "fos_yielding": 12.657275718334375,
      "deflection": 0.009053997673093098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_594",
      "improvement_over_parent": null
    },
    "node_596": {
      "node_id": "node_596",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.03 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0288708364701,
      "fos_buckling": 1.5371309312034136,
      "fos_yielding": 14.269785746663757,
      "deflection": 0.00595654672599104,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_595",
      "improvement_over_parent": null
    },
    "node_597": {
      "node_id": "node_597",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_596",
      "improvement_over_parent": null
    },
    "node_598": {
      "node_id": "node_598",
      "content": "INITIAL DESIGN (Trace 90)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 228.71 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.7149415180241,
      "fos_buckling": 0.3583126111436827,
      "fos_yielding": 3.980926195842786,
      "deflection": 0.02191306179831352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_599": {
      "node_id": "node_599",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n\nPerformance:\n  Mass: 254.93 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.9332793662059,
      "fos_buckling": 0.3577123569457211,
      "fos_yielding": 3.9743137342758352,
      "deflection": 0.019778446459530877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.004583)"
      },
      "parent_node_id": "node_598",
      "improvement_over_parent": null
    },
    "node_600": {
      "node_id": "node_600",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 300.87 kg\n  Factor of Safety: 0.93\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 300.86775751747314,
      "fos_buckling": 0.9292001893569555,
      "fos_yielding": 7.817939643728095,
      "deflection": 0.01065131284092308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005713)"
      },
      "parent_node_id": "node_599",
      "improvement_over_parent": null
    },
    "node_601": {
      "node_id": "node_601",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 365.31 kg\n  Factor of Safety: 1.10\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 365.30702534710554,
      "fos_buckling": 1.1016877850727684,
      "fos_yielding": 9.50546142949648,
      "deflection": 0.008806900123675042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_600",
      "improvement_over_parent": null
    },
    "node_602": {
      "node_id": "node_602",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 447.11 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.23e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.1095682596548,
      "fos_buckling": 1.3075358504007761,
      "fos_yielding": 11.654405519307884,
      "deflection": 0.007231336295250051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_601",
      "improvement_over_parent": null
    },
    "node_603": {
      "node_id": "node_603",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4565973171474,
      "fos_buckling": 1.5380916601118853,
      "fos_yielding": 14.274399033409516,
      "deflection": 0.005952171686539791,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 91)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0030)]\n\nPerformance:\n  Mass: 313.79 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 313.788234443272,
      "fos_buckling": 0.626943311250666,
      "fos_yielding": 6.031791257940708,
      "deflection": 0.011068971613186037,
      "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: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 322.18 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 322.18043567173356,
      "fos_buckling": 0.7529698353059279,
      "fos_yielding": 6.427501113348434,
      "deflection": 0.010403479210827276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.351)"
      },
      "parent_node_id": "node_605",
      "improvement_over_parent": null
    },
    "node_607": {
      "node_id": "node_607",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 412.44 kg\n  Factor of Safety: 0.94\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": 412.4435574088583,
      "fos_buckling": 0.9449593098530805,
      "fos_yielding": 8.277382317817889,
      "deflection": 0.008162372112386932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_606",
      "improvement_over_parent": null
    },
    "node_608": {
      "node_id": "node_608",
      "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 436.97 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.96631782334487,
      "fos_buckling": 1.152048012589782,
      "fos_yielding": 9.057270935108878,
      "deflection": 0.007481879277151897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.618)"
      },
      "parent_node_id": "node_607",
      "improvement_over_parent": null
    },
    "node_609": {
      "node_id": "node_609",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.28 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.2788672341875,
      "fos_buckling": 1.404364034728884,
      "fos_yielding": 11.334000740835766,
      "deflection": 0.006053789556522179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_608",
      "improvement_over_parent": null
    },
    "node_610": {
      "node_id": "node_610",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2921164990074,
      "fos_buckling": 1.5376416159321755,
      "fos_yielding": 14.277648131019046,
      "deflection": 0.005953680364342681,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.332)"
      },
      "parent_node_id": "node_609",
      "improvement_over_parent": null
    },
    "node_611": {
      "node_id": "node_611",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_610",
      "improvement_over_parent": null
    },
    "node_612": {
      "node_id": "node_612",
      "content": "INITIAL DESIGN (Trace 92)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 374.37 kg\n  Factor of Safety: 0.84\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": 374.36827779399306,
      "fos_buckling": 0.8383678436650753,
      "fos_yielding": 10.140054254008334,
      "deflection": 0.009188054467299681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_613": {
      "node_id": "node_613",
      "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 388.67 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.20e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 388.6736287991305,
      "fos_buckling": 0.8376079549782693,
      "fos_yielding": 10.130863404705794,
      "deflection": 0.009196391162535197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.639)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.13 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.1294456727694,
      "fos_buckling": 0.9980810108272202,
      "fos_yielding": 12.493773280975416,
      "deflection": 0.007456860471638335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_613",
      "improvement_over_parent": null
    },
    "node_615": {
      "node_id": "node_615",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.26209856539,
      "fos_buckling": 1.537595425600418,
      "fos_yielding": 14.272192515099583,
      "deflection": 0.0059540373640412335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_614",
      "improvement_over_parent": null
    },
    "node_616": {
      "node_id": "node_616",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_615",
      "improvement_over_parent": null
    },
    "node_617": {
      "node_id": "node_617",
      "content": "INITIAL DESIGN (Trace 93)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n\nPerformance:\n  Mass: 374.74 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.7405835017346,
      "fos_buckling": 0.8711046064691872,
      "fos_yielding": 8.220383480870744,
      "deflection": 0.010290554481201954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_618": {
      "node_id": "node_618",
      "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 391.76 kg\n  Factor of Safety: 0.87\n  Max Deflection: 9.80e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.75863091941466,
      "fos_buckling": 0.8701657405226297,
      "fos_yielding": 8.21152365156836,
      "deflection": 0.009795114779500937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.447)"
      },
      "parent_node_id": "node_617",
      "improvement_over_parent": null
    },
    "node_619": {
      "node_id": "node_619",
      "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 394.52 kg\n  Factor of Safety: 0.87\n  Max Deflection: 9.80e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.51550213791177,
      "fos_buckling": 0.8701657405226297,
      "fos_yielding": 8.211523651568358,
      "deflection": 0.009795114779500937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.553)"
      },
      "parent_node_id": "node_618",
      "improvement_over_parent": null
    },
    "node_620": {
      "node_id": "node_620",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 395.94 kg\n  Factor of Safety: 0.87\n  Max Deflection: 9.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.93851050618997,
      "fos_buckling": 0.8701657405226297,
      "fos_yielding": 8.211523651568358,
      "deflection": 0.009754843932598945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.229)"
      },
      "parent_node_id": "node_619",
      "improvement_over_parent": null
    },
    "node_621": {
      "node_id": "node_621",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 436.08 kg\n  Factor of Safety: 1.17\n  Max Deflection: 7.57e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.0814090863661,
      "fos_buckling": 1.1742078798360542,
      "fos_yielding": 11.101903647809811,
      "deflection": 0.007565936245255326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007207)"
      },
      "parent_node_id": "node_620",
      "improvement_over_parent": null
    },
    "node_622": {
      "node_id": "node_622",
      "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 447.78 kg\n  Factor of Safety: 1.18\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": 447.78248124173706,
      "fos_buckling": 1.1767933611640442,
      "fos_yielding": 11.566287151092665,
      "deflection": 0.007284349188316334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.312)"
      },
      "parent_node_id": "node_621",
      "improvement_over_parent": null
    },
    "node_623": {
      "node_id": "node_623",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 530.77 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.7668160748,
      "fos_buckling": 1.3598687648700705,
      "fos_yielding": 13.736248764164555,
      "deflection": 0.006175018037265965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_622",
      "improvement_over_parent": null
    },
    "node_624": {
      "node_id": "node_624",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0108)]\n\nPerformance:\n  Mass: 540.98 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 540.9786935900707,
      "fos_buckling": 1.357210524664595,
      "fos_yielding": 13.468529393387685,
      "deflection": 0.006117491738875592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.242)"
      },
      "parent_node_id": "node_623",
      "improvement_over_parent": null
    },
    "node_625": {
      "node_id": "node_625",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_624",
      "improvement_over_parent": null
    },
    "node_626": {
      "node_id": "node_626",
      "content": "INITIAL DESIGN (Trace 94)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 351.15 kg\n  Factor of Safety: 0.84\n  Max Deflection: 2.06e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.14596229191204,
      "fos_buckling": 0.8386891151838138,
      "fos_yielding": 8.730805437305696,
      "deflection": 20595346432114.066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_627": {
      "node_id": "node_627",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n\nPerformance:\n  Mass: 381.24 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.53e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 381.2369693711871,
      "fos_buckling": 0.9133429065516638,
      "fos_yielding": 9.784963411804648,
      "deflection": 15345198652481.818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005298)"
      },
      "parent_node_id": "node_626",
      "improvement_over_parent": null
    },
    "node_628": {
      "node_id": "node_628",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 445.37 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.36962226380774,
      "fos_buckling": 0.5937102466972436,
      "fos_yielding": 7.083075807274127,
      "deflection": 0.011155629680529808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_627",
      "improvement_over_parent": null
    },
    "node_629": {
      "node_id": "node_629",
      "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0074)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 448.43 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.4265032907665,
      "fos_buckling": 0.5937102466972436,
      "fos_yielding": 7.7681111105180936,
      "deflection": 0.010915690384321669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.362)"
      },
      "parent_node_id": "node_628",
      "improvement_over_parent": null
    },
    "node_630": {
      "node_id": "node_630",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0074)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 531.82 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.821735724128,
      "fos_buckling": 1.2723070849024762,
      "fos_yielding": 14.973656385571903,
      "deflection": 0.006089835149680889,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_629",
      "improvement_over_parent": null
    },
    "node_631": {
      "node_id": "node_631",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0089)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.99 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.991418791395,
      "fos_buckling": 1.2730523718887077,
      "fos_yielding": 14.897596874671724,
      "deflection": 0.006074734984978015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.202)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 95)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\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_634": {
      "node_id": "node_634",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 404.32 kg\n  Factor of Safety: 0.47\n  Max Deflection: 3.52e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.316849029954,
      "fos_buckling": 0.46590775823145814,
      "fos_yielding": 5.727238564235699,
      "deflection": 0.03516793394127734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009625)"
      },
      "parent_node_id": "node_633",
      "improvement_over_parent": null
    },
    "node_635": {
      "node_id": "node_635",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 449.94 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.93930054777684,
      "fos_buckling": 0.5085768211305272,
      "fos_yielding": 6.366081595127315,
      "deflection": 0.03163879947815986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_634",
      "improvement_over_parent": null
    },
    "node_636": {
      "node_id": "node_636",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 518.19 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.57e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 518.1919770689823,
      "fos_buckling": 0.876478816671076,
      "fos_yielding": 11.262647256531151,
      "deflection": 0.009574882633405484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008698)"
      },
      "parent_node_id": "node_635",
      "improvement_over_parent": null
    },
    "node_637": {
      "node_id": "node_637",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 531.16 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.17e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.1614965785371,
      "fos_buckling": 1.3599717947640473,
      "fos_yielding": 13.746002919964106,
      "deflection": 0.006170849890124159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_636",
      "improvement_over_parent": null
    },
    "node_638": {
      "node_id": "node_638",
      "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0078)]\n\nPerformance:\n  Mass: 533.97 kg\n  Factor of Safety: 1.37\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": 533.96816569276,
      "fos_buckling": 1.3747425224148673,
      "fos_yielding": 16.393886144850786,
      "deflection": 0.006104548061516278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.244)"
      },
      "parent_node_id": "node_637",
      "improvement_over_parent": null
    },
    "node_639": {
      "node_id": "node_639",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_638",
      "improvement_over_parent": null
    },
    "node_640": {
      "node_id": "node_640",
      "content": "INITIAL DESIGN (Trace 96)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\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_641": {
      "node_id": "node_641",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 306.01 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 306.0110567692976,
      "fos_buckling": 0.4789080781290317,
      "fos_yielding": 5.5022469317409195,
      "deflection": 0.01580575844999579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006512)"
      },
      "parent_node_id": "node_640",
      "improvement_over_parent": null
    },
    "node_642": {
      "node_id": "node_642",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 355.23 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.2263029787888,
      "fos_buckling": 0.4774115555405707,
      "fos_yielding": 5.4852541520429225,
      "deflection": 0.014280451772711077,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007118)"
      },
      "parent_node_id": "node_641",
      "improvement_over_parent": null
    },
    "node_643": {
      "node_id": "node_643",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.00 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.9986186462912,
      "fos_buckling": 0.5931757479157042,
      "fos_yielding": 7.077118960662237,
      "deflection": 0.011027535053562581,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_642",
      "improvement_over_parent": null
    },
    "node_644": {
      "node_id": "node_644",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3938510796527,
      "fos_buckling": 1.5377362526172642,
      "fos_yielding": 14.27291603817558,
      "deflection": 0.005952859572303975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 97)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\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_647": {
      "node_id": "node_647",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 440.84 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.44e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.8366457133307,
      "fos_buckling": 0.9079111434740783,
      "fos_yielding": 11.143616944179824,
      "deflection": 0.008437322111277448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008350)"
      },
      "parent_node_id": "node_646",
      "improvement_over_parent": null
    },
    "node_648": {
      "node_id": "node_648",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 495.42 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 495.42480382860424,
      "fos_buckling": 0.9969997910628114,
      "fos_yielding": 12.48012303845098,
      "deflection": 0.0075328608430058645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_647",
      "improvement_over_parent": null
    },
    "node_649": {
      "node_id": "node_649",
      "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.67518029182565,
      "fos_buckling": 0.9969997910628113,
      "fos_yielding": 12.480123038450975,
      "deflection": 0.007462806842398792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.558)"
      },
      "parent_node_id": "node_648",
      "improvement_over_parent": null
    },
    "node_650": {
      "node_id": "node_650",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779447523286,
      "fos_buckling": 1.5376998150136165,
      "fos_yielding": 14.269979377206443,
      "deflection": 0.005954038695911261,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_649",
      "improvement_over_parent": null
    },
    "node_651": {
      "node_id": "node_651",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_650",
      "improvement_over_parent": null
    },
    "node_652": {
      "node_id": "node_652",
      "content": "INITIAL DESIGN (Trace 98)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 383.34 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.64e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.33581378940755,
      "fos_buckling": 0.8041248439172723,
      "fos_yielding": 9.662748123038696,
      "deflection": 0.009639765331321822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_653": {
      "node_id": "node_653",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n\nPerformance:\n  Mass: 414.09 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.76e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 414.0871049510499,
      "fos_buckling": 1.205309301113907,
      "fos_yielding": 11.16315089884806,
      "deflection": 0.007763448829057067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005421)"
      },
      "parent_node_id": "node_652",
      "improvement_over_parent": null
    },
    "node_654": {
      "node_id": "node_654",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n\nPerformance:\n  Mass: 463.53 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.96e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.5272182611666,
      "fos_buckling": 1.3283550014209922,
      "fos_yielding": 12.507136476455244,
      "deflection": 0.006956261269024139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_653",
      "improvement_over_parent": null
    },
    "node_655": {
      "node_id": "node_655",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 538.74 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.01e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 538.7364797638257,
      "fos_buckling": 1.5058583258422114,
      "fos_yielding": 14.555879658472733,
      "deflection": 0.006012470639169221,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_654",
      "improvement_over_parent": null
    },
    "node_656": {
      "node_id": "node_656",
      "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0104)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 547.34 kg\n  Factor of Safety: 1.50\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 547.3411520359559,
      "fos_buckling": 1.5034303361195709,
      "fos_yielding": 14.295400256915089,
      "deflection": 0.005962006502235893,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.203)"
      },
      "parent_node_id": "node_655",
      "improvement_over_parent": null
    },
    "node_657": {
      "node_id": "node_657",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_656",
      "improvement_over_parent": null
    },
    "node_658": {
      "node_id": "node_658",
      "content": "INITIAL DESIGN (Trace 99)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0029)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n\nPerformance:\n  Mass: 245.08 kg\n  Factor of Safety: 0.76\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": 245.08477378996383,
      "fos_buckling": 0.7628669719940558,
      "fos_yielding": 6.1851340735952665,
      "deflection": 0.013376473243626976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_659": {
      "node_id": "node_659",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 279.57 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 279.5697855511601,
      "fos_buckling": 0.8593379424904355,
      "fos_yielding": 7.060052939950568,
      "deflection": 0.011749153700880432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_658",
      "improvement_over_parent": null
    },
    "node_660": {
      "node_id": "node_660",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 340.99 kg\n  Factor of Safety: 1.02\n  Max Deflection: 9.67e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 340.9899962016116,
      "fos_buckling": 1.0246734488211573,
      "fos_yielding": 8.621322641306268,
      "deflection": 0.009665862754621283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_659",
      "improvement_over_parent": null
    },
    "node_661": {
      "node_id": "node_661",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 445.50 kg\n  Factor of Safety: 1.29\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": 445.49909891444634,
      "fos_buckling": 1.2871698159156548,
      "fos_yielding": 11.28695628048023,
      "deflection": 0.007441094366353749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_660",
      "improvement_over_parent": null
    },
    "node_662": {
      "node_id": "node_662",
      "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 462.18 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.18020319781857,
      "fos_buckling": 1.343714307217723,
      "fos_yielding": 12.05157309396642,
      "deflection": 0.0070017888297176315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.504)"
      },
      "parent_node_id": "node_661",
      "improvement_over_parent": null
    },
    "node_663": {
      "node_id": "node_663",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 547.16 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.94e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 547.164961280932,
      "fos_buckling": 1.5394812943154577,
      "fos_yielding": 14.293648276004745,
      "deflection": 0.005944619335687736,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 100)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 418.70 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.70289204674134,
      "fos_buckling": 0.9050733598960135,
      "fos_yielding": 11.099463480658915,
      "deflection": 0.008761318222670471,
      "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: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 460.83 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.8324872661776,
      "fos_buckling": 1.102286945870135,
      "fos_yielding": 11.553415873338832,
      "deflection": 0.007168027945029102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007594)"
      },
      "parent_node_id": "node_665",
      "improvement_over_parent": null
    },
    "node_667": {
      "node_id": "node_667",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0106)]\n\nPerformance:\n  Mass: 475.50 kg\n  Factor of Safety: 1.04\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 475.5027079875192,
      "fos_buckling": 1.0386464393453227,
      "fos_yielding": 10.886379725423032,
      "deflection": 0.007082149404197385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.391)"
      },
      "parent_node_id": "node_666",
      "improvement_over_parent": null
    },
    "node_668": {
      "node_id": "node_668",
      "content": "MODIFICATION: Increase 4 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0090)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0106)]\n\nPerformance:\n  Mass: 481.82 kg\n  Factor of Safety: 1.00\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": 481.81668065639076,
      "fos_buckling": 0.9966173746958346,
      "fos_yielding": 10.445859891198133,
      "deflection": 0.006921879664659522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.631)"
      },
      "parent_node_id": "node_667",
      "improvement_over_parent": null
    },
    "node_669": {
      "node_id": "node_669",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0102)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0121)]\n\nPerformance:\n  Mass: 544.27 kg\n  Factor of Safety: 1.11\n  Max Deflection: 6.15e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.2742200619235,
      "fos_buckling": 1.1085818945607615,
      "fos_yielding": 11.768206339485316,
      "deflection": 0.006147986741876111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_668",
      "improvement_over_parent": null
    },
    "node_670": {
      "node_id": "node_670",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_669",
      "improvement_over_parent": null
    },
    "node_671": {
      "node_id": "node_671",
      "content": "INITIAL DESIGN (Trace 101)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 343.06 kg\n  Factor of Safety: 0.82\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": 343.0574257527364,
      "fos_buckling": 0.8247348806190559,
      "fos_yielding": 7.3248013010825215,
      "deflection": 0.012372758201178743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_672": {
      "node_id": "node_672",
      "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 357.15 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 357.14932670253313,
      "fos_buckling": 0.8239965546715237,
      "fos_yielding": 7.318243932177442,
      "deflection": 0.012373597963328008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.414)"
      },
      "parent_node_id": "node_671",
      "improvement_over_parent": null
    },
    "node_673": {
      "node_id": "node_673",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 453.07 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 453.0741306146165,
      "fos_buckling": 1.0005151307426632,
      "fos_yielding": 9.279773568730594,
      "deflection": 0.009779182932296104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_672",
      "improvement_over_parent": null
    },
    "node_674": {
      "node_id": "node_674",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 517.21 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.2067835072371,
      "fos_buckling": 0.9814263936749017,
      "fos_yielding": 9.678116909944436,
      "deflection": 0.009749246063261314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_673",
      "improvement_over_parent": null
    },
    "node_675": {
      "node_id": "node_675",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 533.21 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.2096988934601,
      "fos_buckling": 1.011460613260114,
      "fos_yielding": 12.656774572778874,
      "deflection": 0.009052608723599453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.383)"
      },
      "parent_node_id": "node_674",
      "improvement_over_parent": null
    },
    "node_676": {
      "node_id": "node_676",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1792184030149,
      "fos_buckling": 1.5375390738244605,
      "fos_yielding": 14.268083413389105,
      "deflection": 0.0059552747481924385,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_675",
      "improvement_over_parent": null
    },
    "node_677": {
      "node_id": "node_677",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_676",
      "improvement_over_parent": null
    },
    "node_678": {
      "node_id": "node_678",
      "content": "INITIAL DESIGN (Trace 102)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n\nPerformance:\n  Mass: 296.60 kg\n  Factor of Safety: 0.41\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": 296.59975077583204,
      "fos_buckling": 0.41348419253890045,
      "fos_yielding": 4.92548598633727,
      "deflection": 0.014181274323612311,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_679": {
      "node_id": "node_679",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n\nPerformance:\n  Mass: 341.38 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 341.37736812304524,
      "fos_buckling": 0.7519110608510453,
      "fos_yielding": 8.301961777253664,
      "deflection": 0.010030042775910544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006435)"
      },
      "parent_node_id": "node_678",
      "improvement_over_parent": null
    },
    "node_680": {
      "node_id": "node_680",
      "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0086)]\n\nPerformance:\n  Mass: 355.46 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.80e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.4599221744861,
      "fos_buckling": 0.7880538504753428,
      "fos_yielding": 8.07261924845853,
      "deflection": 0.009800433650944419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.342)"
      },
      "parent_node_id": "node_679",
      "improvement_over_parent": null
    },
    "node_681": {
      "node_id": "node_681",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0110)]\n\nPerformance:\n  Mass: 446.14 kg\n  Factor of Safety: 0.97\n  Max Deflection: 7.84e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 446.1354171805925,
      "fos_buckling": 0.9723803683621438,
      "fos_yielding": 10.17293021760184,
      "deflection": 0.007837719425346194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_680",
      "improvement_over_parent": null
    },
    "node_682": {
      "node_id": "node_682",
      "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0110)]\n\nPerformance:\n  Mass: 461.59 kg\n  Factor of Safety: 0.98\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.5896829352449,
      "fos_buckling": 0.9757402501414354,
      "fos_yielding": 10.689791077854833,
      "deflection": 0.007464698461508907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.431)"
      },
      "parent_node_id": "node_681",
      "improvement_over_parent": null
    },
    "node_683": {
      "node_id": "node_683",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0127)]\n\nPerformance:\n  Mass: 526.60 kg\n  Factor of Safety: 1.10\n  Max Deflection: 6.56e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 526.5985985789848,
      "fos_buckling": 1.1000890735041244,
      "fos_yielding": 12.23353153151077,
      "deflection": 0.006561993150683497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_682",
      "improvement_over_parent": null
    },
    "node_684": {
      "node_id": "node_684",
      "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0185)]\n\nPerformance:\n  Mass: 557.65 kg\n  Factor of Safety: 1.15\n  Max Deflection: 6.41e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 557.6486146642721,
      "fos_buckling": 1.1525621960482955,
      "fos_yielding": 11.91080010126104,
      "deflection": 0.0064117472665749485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.456)"
      },
      "parent_node_id": "node_683",
      "improvement_over_parent": null
    },
    "node_685": {
      "node_id": "node_685",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_684",
      "improvement_over_parent": null
    },
    "node_686": {
      "node_id": "node_686",
      "content": "INITIAL DESIGN (Trace 103)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 355.98 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.97565239409096,
      "fos_buckling": 0.7551164113554676,
      "fos_yielding": 8.988470227626088,
      "deflection": 0.010363163654597392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_687": {
      "node_id": "node_687",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n\nPerformance:\n  Mass: 389.95 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 389.9546630792356,
      "fos_buckling": 1.1652523114632605,
      "fos_yielding": 10.152330092538397,
      "deflection": 0.00826258241434745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006027)"
      },
      "parent_node_id": "node_686",
      "improvement_over_parent": null
    },
    "node_688": {
      "node_id": "node_688",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n\nPerformance:\n  Mass: 465.40 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.95e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 465.4017272533544,
      "fos_buckling": 1.3515836370460756,
      "fos_yielding": 12.136172028484015,
      "deflection": 0.006954783832956576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_687",
      "improvement_over_parent": null
    },
    "node_689": {
      "node_id": "node_689",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.91 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9106244990667,
      "fos_buckling": 1.5368869523018247,
      "fos_yielding": 14.260204698519397,
      "deflection": 0.005957922007853828,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_688",
      "improvement_over_parent": null
    },
    "node_690": {
      "node_id": "node_690",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_689",
      "improvement_over_parent": null
    },
    "node_691": {
      "node_id": "node_691",
      "content": "INITIAL DESIGN (Trace 104)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 459.80 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 459.7954574247749,
      "fos_buckling": 1.3153251079623034,
      "fos_yielding": 12.850410564063301,
      "deflection": 0.006989638807920777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_692": {
      "node_id": "node_692",
      "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 471.54 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.54017551372925,
      "fos_buckling": 1.3191037235997747,
      "fos_yielding": 12.444088352554703,
      "deflection": 0.006877112282743495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.290)"
      },
      "parent_node_id": "node_691",
      "improvement_over_parent": null
    },
    "node_693": {
      "node_id": "node_693",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.53 kg\n  Factor of Safety: 1.48\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": 544.5314771679436,
      "fos_buckling": 1.4823841238268458,
      "fos_yielding": 14.391978149897712,
      "deflection": 0.005981544300567362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_692",
      "improvement_over_parent": null
    },
    "node_694": {
      "node_id": "node_694",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.22 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2174703064595,
      "fos_buckling": 1.5375006564688554,
      "fos_yielding": 14.267847854010476,
      "deflection": 0.005954773382566437,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.233)"
      },
      "parent_node_id": "node_693",
      "improvement_over_parent": null
    },
    "node_695": {
      "node_id": "node_695",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_694",
      "improvement_over_parent": null
    },
    "node_696": {
      "node_id": "node_696",
      "content": "INITIAL DESIGN (Trace 105)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 392.24 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.35e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 392.24405260000026,
      "fos_buckling": 0.0548243929511519,
      "fos_yielding": 0.9200507539305153,
      "deflection": 134950573196499.36,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_697": {
      "node_id": "node_697",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 439.85 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.22e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 439.8468170605032,
      "fos_buckling": 0.5085395583985828,
      "fos_yielding": 6.365731687514821,
      "deflection": 0.03224294828215168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_696",
      "improvement_over_parent": null
    },
    "node_698": {
      "node_id": "node_698",
      "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0105)]\n\nPerformance:\n  Mass: 448.54 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.19e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.5363323517408,
      "fos_buckling": 0.5082560456636555,
      "fos_yielding": 6.362182767925895,
      "deflection": 0.03185526633130168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.205)"
      },
      "parent_node_id": "node_697",
      "improvement_over_parent": null
    },
    "node_699": {
      "node_id": "node_699",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0105)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 508.32 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 508.3200024972733,
      "fos_buckling": 0.7949092477705003,
      "fos_yielding": 10.036524512097536,
      "deflection": 0.009975873114101516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007547)"
      },
      "parent_node_id": "node_698",
      "improvement_over_parent": null
    },
    "node_700": {
      "node_id": "node_700",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0105)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 521.29 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.37e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 521.2895220068282,
      "fos_buckling": 1.217065708057316,
      "fos_yielding": 13.458311574750716,
      "deflection": 0.006368539622640138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_699",
      "improvement_over_parent": null
    },
    "node_701": {
      "node_id": "node_701",
      "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0105)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0090)]\n\nPerformance:\n  Mass: 526.17 kg\n  Factor of Safety: 1.24\n  Max Deflection: 6.26e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 526.1737169273573,
      "fos_buckling": 1.2364822695163644,
      "fos_yielding": 15.611825678945792,
      "deflection": 0.00626163675164434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.433)"
      },
      "parent_node_id": "node_700",
      "improvement_over_parent": null
    },
    "node_702": {
      "node_id": "node_702",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_701",
      "improvement_over_parent": null
    },
    "node_703": {
      "node_id": "node_703",
      "content": "INITIAL DESIGN (Trace 106)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 477.63 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.6281817249594,
      "fos_buckling": 0.9980139082599399,
      "fos_yielding": 12.492811336834869,
      "deflection": 0.007596208285456815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_704": {
      "node_id": "node_704",
      "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 479.41 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.4148715353308,
      "fos_buckling": 0.9980139082599399,
      "fos_yielding": 12.492811336834869,
      "deflection": 0.007596208285456816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.397)"
      },
      "parent_node_id": "node_703",
      "improvement_over_parent": null
    },
    "node_705": {
      "node_id": "node_705",
      "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 495.58 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 495.5820751224859,
      "fos_buckling": 0.9969985816450808,
      "fos_yielding": 12.480101810705303,
      "deflection": 0.007462950172075993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.370)"
      },
      "parent_node_id": "node_704",
      "improvement_over_parent": null
    },
    "node_706": {
      "node_id": "node_706",
      "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.66 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.66272743532454,
      "fos_buckling": 0.9969985816450808,
      "fos_yielding": 12.480101810705303,
      "deflection": 0.007462950172075993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.515)"
      },
      "parent_node_id": "node_705",
      "improvement_over_parent": null
    },
    "node_707": {
      "node_id": "node_707",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2654918958275,
      "fos_buckling": 1.5376362289174144,
      "fos_yielding": 14.270123929682796,
      "deflection": 0.005954094281795384,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_706",
      "improvement_over_parent": null
    },
    "node_708": {
      "node_id": "node_708",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_707",
      "improvement_over_parent": null
    },
    "node_709": {
      "node_id": "node_709",
      "content": "INITIAL DESIGN (Trace 107)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 378.98 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.24e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.9762555500089,
      "fos_buckling": 0.8343051092856123,
      "fos_yielding": 10.083418152962869,
      "deflection": 0.00923966879920606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_710": {
      "node_id": "node_710",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 472.69 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 472.6863470520572,
      "fos_buckling": 0.9985364452501079,
      "fos_yielding": 12.499092806743562,
      "deflection": 0.00745368633350969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_709",
      "improvement_over_parent": null
    },
    "node_711": {
      "node_id": "node_711",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 536.82 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 536.8189999446778,
      "fos_buckling": 1.462664059429259,
      "fos_yielding": 14.649357740537834,
      "deflection": 0.0060300223415601555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_710",
      "improvement_over_parent": null
    },
    "node_712": {
      "node_id": "node_712",
      "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.245721996015,
      "fos_buckling": 1.537551701236063,
      "fos_yielding": 14.267260340224947,
      "deflection": 0.005954508660092777,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.271)"
      },
      "parent_node_id": "node_711",
      "improvement_over_parent": null
    },
    "node_713": {
      "node_id": "node_713",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_712",
      "improvement_over_parent": null
    },
    "node_714": {
      "node_id": "node_714",
      "content": "INITIAL DESIGN (Trace 108)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 369.50 kg\n  Factor of Safety: 0.43\n  Max Deflection: 3.84e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.49904529673074,
      "fos_buckling": 0.4319950078279246,
      "fos_yielding": 5.238729183721581,
      "deflection": 0.03844780297409897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_715": {
      "node_id": "node_715",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 449.92 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.16e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.91929625013097,
      "fos_buckling": 0.5085472244600693,
      "fos_yielding": 6.365848845411714,
      "deflection": 0.031640340884871096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_714",
      "improvement_over_parent": null
    },
    "node_716": {
      "node_id": "node_716",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 462.89 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8888157596858,
      "fos_buckling": 0.5930632259484674,
      "fos_yielding": 7.075495336405429,
      "deflection": 0.01103009154397346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_715",
      "improvement_over_parent": null
    },
    "node_717": {
      "node_id": "node_717",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2840481930473,
      "fos_buckling": 1.5376715767740998,
      "fos_yielding": 14.270168617739026,
      "deflection": 0.005953988023521274,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 109)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\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_720": {
      "node_id": "node_720",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 399.26 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 399.26279865245795,
      "fos_buckling": 0.9002749155086051,
      "fos_yielding": 11.025448775137555,
      "deflection": 0.010286104443850513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008223)"
      },
      "parent_node_id": "node_719",
      "improvement_over_parent": null
    },
    "node_721": {
      "node_id": "node_721",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n\nPerformance:\n  Mass: 410.64 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.64109815561875,
      "fos_buckling": 0.8989786092497908,
      "fos_yielding": 11.00957322644988,
      "deflection": 0.008462289225059882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005441)"
      },
      "parent_node_id": "node_720",
      "improvement_over_parent": null
    },
    "node_722": {
      "node_id": "node_722",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 467.96 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.96175521846965,
      "fos_buckling": 0.9985248934177974,
      "fos_yielding": 12.498098256268547,
      "deflection": 0.00745427555406015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_721",
      "improvement_over_parent": null
    },
    "node_723": {
      "node_id": "node_723",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 481.94 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.94169416280124,
      "fos_buckling": 0.9976455561898595,
      "fos_yielding": 12.487091977759512,
      "deflection": 0.007460846986295223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.456)"
      },
      "parent_node_id": "node_722",
      "improvement_over_parent": null
    },
    "node_724": {
      "node_id": "node_724",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.07 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0743470554219,
      "fos_buckling": 1.5370874292139278,
      "fos_yielding": 14.26091984711762,
      "deflection": 0.005956464156786203,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 110)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 350.78 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 350.7810596384381,
      "fos_buckling": 0.75127763444573,
      "fos_yielding": 8.935808416730591,
      "deflection": 0.010485361332049812,
      "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 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n\nPerformance:\n  Mass: 384.54 kg\n  Factor of Safety: 0.94\n  Max Deflection: 8.53e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.5430244827698,
      "fos_buckling": 0.9410199384345477,
      "fos_yielding": 7.238060455239244,
      "deflection": 0.008530712824402271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005986)"
      },
      "parent_node_id": "node_726",
      "improvement_over_parent": null
    },
    "node_728": {
      "node_id": "node_728",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n\nPerformance:\n  Mass: 460.07 kg\n  Factor of Safety: 1.11\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.0735896056376,
      "fos_buckling": 1.11366464946486,
      "fos_yielding": 8.70610735879917,
      "deflection": 0.007159609321420664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_727",
      "improvement_over_parent": null
    },
    "node_729": {
      "node_id": "node_729",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 542.22 kg\n  Factor of Safety: 1.30\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": 542.2170780739345,
      "fos_buckling": 1.296702417741791,
      "fos_yielding": 10.32263584892565,
      "deflection": 0.0061020108150128954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_728",
      "improvement_over_parent": null
    },
    "node_730": {
      "node_id": "node_730",
      "content": "MODIFICATION: Increase 5 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0081)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.36 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.3550515765094,
      "fos_buckling": 1.2811487656678746,
      "fos_yielding": 10.198818167796057,
      "deflection": 0.006066154721043375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.497)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 111)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 238.27 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.26971344385424,
      "fos_buckling": 0.6132701337974361,
      "fos_yielding": 7.113252402538306,
      "deflection": 0.014596983699743025,
      "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: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0037)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 248.36 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.3636924099932,
      "fos_buckling": 0.61287443361178,
      "fos_yielding": 7.108662719882678,
      "deflection": 0.014148408475701002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.637)"
      },
      "parent_node_id": "node_732",
      "improvement_over_parent": null
    },
    "node_734": {
      "node_id": "node_734",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0043)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 291.22 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 291.22156046176497,
      "fos_buckling": 0.7047565217451811,
      "fos_yielding": 8.308203513215926,
      "deflection": 0.012097640904657881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_733",
      "improvement_over_parent": null
    },
    "node_735": {
      "node_id": "node_735",
      "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 310.75 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 310.7490587559909,
      "fos_buckling": 0.7038802755954159,
      "fos_yielding": 8.297873660117299,
      "deflection": 0.011338198746696856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.585)"
      },
      "parent_node_id": "node_734",
      "improvement_over_parent": null
    },
    "node_736": {
      "node_id": "node_736",
      "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 316.90 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 316.9041150182686,
      "fos_buckling": 0.7036045347723401,
      "fos_yielding": 8.294623018506575,
      "deflection": 0.01123075638347854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.181)"
      },
      "parent_node_id": "node_735",
      "improvement_over_parent": null
    },
    "node_737": {
      "node_id": "node_737",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 359.05 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 359.0547603772808,
      "fos_buckling": 1.0851556658870836,
      "fos_yielding": 9.339511993826221,
      "deflection": 0.008957080499689506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006035)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 432.65 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 432.6512116511585,
      "fos_buckling": 1.2719909461597274,
      "fos_yielding": 11.271638274065836,
      "deflection": 0.007466651973850772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_737",
      "improvement_over_parent": null
    },
    "node_739": {
      "node_id": "node_739",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5411989023603,
      "fos_buckling": 1.5380320996752606,
      "fos_yielding": 14.273659137199735,
      "deflection": 0.0059514250000618175,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_738",
      "improvement_over_parent": null
    },
    "node_740": {
      "node_id": "node_740",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_739",
      "improvement_over_parent": null
    },
    "node_741": {
      "node_id": "node_741",
      "content": "INITIAL DESIGN (Trace 112)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n\nPerformance:\n  Mass: 303.82 kg\n  Factor of Safety: 0.33\n  Max Deflection: 4.46e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 303.8195593256966,
      "fos_buckling": 0.3320111172788704,
      "fos_yielding": 4.812143602616339,
      "deflection": 0.0446127539106681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_742": {
      "node_id": "node_742",
      "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n\nPerformance:\n  Mass: 317.36 kg\n  Factor of Safety: 0.33\n  Max Deflection: 4.46e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 317.3624936165357,
      "fos_buckling": 0.332303952741504,
      "fos_yielding": 4.81214360261634,
      "deflection": 0.0446114247484384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.437)"
      },
      "parent_node_id": "node_741",
      "improvement_over_parent": null
    },
    "node_743": {
      "node_id": "node_743",
      "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n\nPerformance:\n  Mass: 333.65 kg\n  Factor of Safety: 0.40\n  Max Deflection: 4.25e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 333.6463745678716,
      "fos_buckling": 0.4015128511888875,
      "fos_yielding": 4.812143602616338,
      "deflection": 0.042486978587857785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.543)"
      },
      "parent_node_id": "node_742",
      "improvement_over_parent": null
    },
    "node_744": {
      "node_id": "node_744",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 396.49 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 396.4886283521754,
      "fos_buckling": 0.7995572089521582,
      "fos_yielding": 9.587718420081874,
      "deflection": 0.011954964283515676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007960)"
      },
      "parent_node_id": "node_743",
      "improvement_over_parent": null
    },
    "node_745": {
      "node_id": "node_745",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 466.04 kg\n  Factor of Safety: 0.92\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": 466.04029923837726,
      "fos_buckling": 0.9162287154932486,
      "fos_yielding": 11.242987159467459,
      "deflection": 0.010194473619951641,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_744",
      "improvement_over_parent": null
    },
    "node_746": {
      "node_id": "node_746",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 525.51 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 525.507085098439,
      "fos_buckling": 1.0104995079342756,
      "fos_yielding": 12.651965908852064,
      "deflection": 0.009058876653879113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_745",
      "improvement_over_parent": null
    },
    "node_747": {
      "node_id": "node_747",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 532.48 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.4837580683791,
      "fos_buckling": 1.0103328887217595,
      "fos_yielding": 12.644845827973832,
      "deflection": 0.009062914325878638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.189)"
      },
      "parent_node_id": "node_746",
      "improvement_over_parent": null
    },
    "node_748": {
      "node_id": "node_748",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 545.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.4532775779339,
      "fos_buckling": 1.5357599638340265,
      "fos_yielding": 14.269255854444372,
      "deflection": 0.0059622372373173286,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_747",
      "improvement_over_parent": null
    },
    "node_749": {
      "node_id": "node_749",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_748",
      "improvement_over_parent": null
    },
    "node_750": {
      "node_id": "node_750",
      "content": "INITIAL DESIGN (Trace 113)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 317.60 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 317.6043545771369,
      "fos_buckling": 0.5042423337353882,
      "fos_yielding": 5.837744233344378,
      "deflection": 0.014882552313153665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_751": {
      "node_id": "node_751",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 356.42 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 356.4235963721169,
      "fos_buckling": 0.5029997897358831,
      "fos_yielding": 5.823537512190162,
      "deflection": 0.013678635917360042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006951)"
      },
      "parent_node_id": "node_750",
      "improvement_over_parent": null
    },
    "node_752": {
      "node_id": "node_752",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 437.26 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 437.25726942138766,
      "fos_buckling": 0.5937592306512501,
      "fos_yielding": 7.083337347947754,
      "deflection": 0.011210550263637703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_751",
      "improvement_over_parent": null
    },
    "node_753": {
      "node_id": "node_753",
      "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0103)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 444.39 kg\n  Factor of Safety: 0.59\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": 444.39054740710395,
      "fos_buckling": 0.5932247206250107,
      "fos_yielding": 7.0770570049054005,
      "deflection": 0.010807593739342675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.647)"
      },
      "parent_node_id": "node_752",
      "improvement_over_parent": null
    },
    "node_754": {
      "node_id": "node_754",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0103)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 527.79 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 527.7857798404654,
      "fos_buckling": 1.3219767968071177,
      "fos_yielding": 14.019172443319825,
      "deflection": 0.006084031972072617,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_753",
      "improvement_over_parent": null
    },
    "node_755": {
      "node_id": "node_755",
      "content": "MODIFICATION: Increase 8 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0103)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0149)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 559.12 kg\n  Factor of Safety: 1.32\n  Max Deflection: 5.94e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 559.1182185339934,
      "fos_buckling": 1.323847450366447,
      "fos_yielding": 14.039010170345962,
      "deflection": 0.005935051573908324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.570)"
      },
      "parent_node_id": "node_754",
      "improvement_over_parent": null
    },
    "node_756": {
      "node_id": "node_756",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_755",
      "improvement_over_parent": null
    },
    "node_757": {
      "node_id": "node_757",
      "content": "INITIAL DESIGN (Trace 114)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\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_758": {
      "node_id": "node_758",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 361.85 kg\n  Factor of Safety: 0.69\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": 361.84958729214884,
      "fos_buckling": 0.6887872592389079,
      "fos_yielding": 8.588742650755373,
      "deflection": 0.011772550884375808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007864)"
      },
      "parent_node_id": "node_757",
      "improvement_over_parent": null
    },
    "node_759": {
      "node_id": "node_759",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 401.93 kg\n  Factor of Safety: 0.87\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": 401.9254504644006,
      "fos_buckling": 0.8684404716169204,
      "fos_yielding": 10.56947604301037,
      "deflection": 0.00918846598852433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007194)"
      },
      "parent_node_id": "node_758",
      "improvement_over_parent": null
    },
    "node_760": {
      "node_id": "node_760",
      "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0096)]\n\nPerformance:\n  Mass: 413.92 kg\n  Factor of Safety: 0.87\n  Max Deflection: 9.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 413.9154074448547,
      "fos_buckling": 0.8677818302300941,
      "fos_yielding": 10.561459956028576,
      "deflection": 0.009069264007283863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.332)"
      },
      "parent_node_id": "node_759",
      "improvement_over_parent": null
    },
    "node_761": {
      "node_id": "node_761",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0116)]\n\nPerformance:\n  Mass: 491.48 kg\n  Factor of Safety: 1.00\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": 491.4838561463402,
      "fos_buckling": 0.9971706508259955,
      "fos_yielding": 12.481767130743968,
      "deflection": 0.0076707397144743904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_760",
      "improvement_over_parent": null
    },
    "node_762": {
      "node_id": "node_762",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0116)]\n\nPerformance:\n  Mass: 507.79 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.27e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 507.79346164884356,
      "fos_buckling": 1.1490010671774382,
      "fos_yielding": 12.468965644763653,
      "deflection": 0.0072686551582810625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.220)"
      },
      "parent_node_id": "node_761",
      "improvement_over_parent": null
    },
    "node_763": {
      "node_id": "node_763",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0116)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 555.40 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 555.3962261093466,
      "fos_buckling": 1.284139564580637,
      "fos_yielding": 13.725098906998094,
      "deflection": 0.006015256621390902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_762",
      "improvement_over_parent": null
    },
    "node_764": {
      "node_id": "node_764",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_763",
      "improvement_over_parent": null
    },
    "node_765": {
      "node_id": "node_765",
      "content": "INITIAL DESIGN (Trace 115)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 404.38 kg\n  Factor of Safety: 1.04\n  Max Deflection: 8.08e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.37550424628904,
      "fos_buckling": 1.0390719179823182,
      "fos_yielding": 8.01503262264851,
      "deflection": 0.008083558218675074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_766": {
      "node_id": "node_766",
      "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 418.47 kg\n  Factor of Safety: 0.98\n  Max Deflection: 7.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.46508187469794,
      "fos_buckling": 0.9802630964470238,
      "fos_yielding": 7.561402209827634,
      "deflection": 0.007879174152405145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.664)"
      },
      "parent_node_id": "node_765",
      "improvement_over_parent": null
    },
    "node_767": {
      "node_id": "node_767",
      "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 421.99 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.65e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.9853180474426,
      "fos_buckling": 1.245777843227352,
      "fos_yielding": 10.989983188586226,
      "deflection": 0.007650479204692786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.580)"
      },
      "parent_node_id": "node_766",
      "improvement_over_parent": null
    },
    "node_768": {
      "node_id": "node_768",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.17 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1674743538248,
      "fos_buckling": 1.53735208035271,
      "fos_yielding": 14.262174998139104,
      "deflection": 0.005955393405725283,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_767",
      "improvement_over_parent": null
    },
    "node_769": {
      "node_id": "node_769",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_768",
      "improvement_over_parent": null
    },
    "node_770": {
      "node_id": "node_770",
      "content": "INITIAL DESIGN (Trace 116)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0019)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 277.82 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 277.8173867205595,
      "fos_buckling": 0.6389432289467997,
      "fos_yielding": 7.445553972173108,
      "deflection": 0.012637605723555614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_771": {
      "node_id": "node_771",
      "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 279.84 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 279.83824767218505,
      "fos_buckling": 0.6389432289467997,
      "fos_yielding": 7.445553972173108,
      "deflection": 0.012512252572655832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.582)"
      },
      "parent_node_id": "node_770",
      "improvement_over_parent": null
    },
    "node_772": {
      "node_id": "node_772",
      "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 293.42 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 293.4239757743179,
      "fos_buckling": 0.6383899388125817,
      "fos_yielding": 7.439106526813399,
      "deflection": 0.012522303359840174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.592)"
      },
      "parent_node_id": "node_771",
      "improvement_over_parent": null
    },
    "node_773": {
      "node_id": "node_773",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 368.21 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 368.20921786845804,
      "fos_buckling": 0.7772673874790409,
      "fos_yielding": 9.291371486533697,
      "deflection": 0.010025242928691279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_772",
      "improvement_over_parent": null
    },
    "node_774": {
      "node_id": "node_774",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 433.86 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.54e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 433.8617525609032,
      "fos_buckling": 0.891422400379953,
      "fos_yielding": 10.903187121797723,
      "deflection": 0.008542695384679073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_773",
      "improvement_over_parent": null
    },
    "node_775": {
      "node_id": "node_775",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.24 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.2396634001134,
      "fos_buckling": 0.9964028329852719,
      "fos_yielding": 12.470934015860006,
      "deflection": 0.007468334789564711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_774",
      "improvement_over_parent": null
    },
    "node_776": {
      "node_id": "node_776",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.84 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8424278606163,
      "fos_buckling": 1.5367343373301665,
      "fos_yielding": 14.25931331141774,
      "deflection": 0.0059585355346496805,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_775",
      "improvement_over_parent": null
    },
    "node_777": {
      "node_id": "node_777",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_776",
      "improvement_over_parent": null
    },
    "node_778": {
      "node_id": "node_778",
      "content": "INITIAL DESIGN (Trace 117)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 333.71 kg\n  Factor of Safety: 0.81\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": 333.70904501360656,
      "fos_buckling": 0.8059775231525357,
      "fos_yielding": 9.683749995609357,
      "deflection": 0.011871928891415896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_779": {
      "node_id": "node_779",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 434.65 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.6488714487459,
      "fos_buckling": 1.0012291739641666,
      "fos_yielding": 12.533605492827029,
      "deflection": 0.009180946049648095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_778",
      "improvement_over_parent": null
    },
    "node_780": {
      "node_id": "node_780",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.25 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.2516359092489,
      "fos_buckling": 0.9982269118230738,
      "fos_yielding": 12.496022519576735,
      "deflection": 0.007455590544048126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_779",
      "improvement_over_parent": null
    },
    "node_781": {
      "node_id": "node_781",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3842888018695,
      "fos_buckling": 1.537940061981699,
      "fos_yielding": 14.274169267842751,
      "deflection": 0.005952815957065033,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_780",
      "improvement_over_parent": null
    },
    "node_782": {
      "node_id": "node_782",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_781",
      "improvement_over_parent": null
    },
    "node_783": {
      "node_id": "node_783",
      "content": "INITIAL DESIGN (Trace 118)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 438.26 kg\n  Factor of Safety: 0.81\n  Max Deflection: 8.15e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 438.2559344029328,
      "fos_buckling": 0.8138657441951529,
      "fos_yielding": 10.392728806651217,
      "deflection": 0.008146770750847259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_784": {
      "node_id": "node_784",
      "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 456.39 kg\n  Factor of Safety: 1.00\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": 456.38635818276884,
      "fos_buckling": 0.9996265237817782,
      "fos_yielding": 12.514991710875648,
      "deflection": 0.007462275810281634,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.305)"
      },
      "parent_node_id": "node_783",
      "improvement_over_parent": null
    },
    "node_785": {
      "node_id": "node_785",
      "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 463.59 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.5889162254092,
      "fos_buckling": 0.9991724003577667,
      "fos_yielding": 12.509306236599,
      "deflection": 0.007465668533762546,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.319)"
      },
      "parent_node_id": "node_784",
      "improvement_over_parent": null
    },
    "node_786": {
      "node_id": "node_786",
      "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 480.09 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.0926715300077,
      "fos_buckling": 0.9981333879714471,
      "fos_yielding": 12.496298146984602,
      "deflection": 0.00747344253264095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.582)"
      },
      "parent_node_id": "node_785",
      "improvement_over_parent": null
    },
    "node_787": {
      "node_id": "node_787",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 544.23 kg\n  Factor of Safety: 1.50\n  Max Deflection: 6.02e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.2253244226283,
      "fos_buckling": 1.502524630197082,
      "fos_yielding": 12.286365145788078,
      "deflection": 0.006016439039705536,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_786",
      "improvement_over_parent": null
    },
    "node_788": {
      "node_id": "node_788",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2472350457689,
      "fos_buckling": 1.53743854574557,
      "fos_yielding": 14.261369008597844,
      "deflection": 0.005954506979112756,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.203)"
      },
      "parent_node_id": "node_787",
      "improvement_over_parent": null
    },
    "node_789": {
      "node_id": "node_789",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_788",
      "improvement_over_parent": null
    },
    "node_790": {
      "node_id": "node_790",
      "content": "INITIAL DESIGN (Trace 119)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 331.99 kg\n  Factor of Safety: 0.76\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": 331.98885522889105,
      "fos_buckling": 0.7629130431094548,
      "fos_yielding": 5.906469396937725,
      "deflection": 0.011793472265200697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_791": {
      "node_id": "node_791",
      "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 347.64 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 347.6418070441349,
      "fos_buckling": 0.7621544588022126,
      "fos_yielding": 9.087213055395186,
      "deflection": 0.010255836075199445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.575)"
      },
      "parent_node_id": "node_790",
      "improvement_over_parent": null
    },
    "node_792": {
      "node_id": "node_792",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 384.85 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.29e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.85080148464385,
      "fos_buckling": 0.8306137307506808,
      "fos_yielding": 10.03639859165546,
      "deflection": 0.009285751948506813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_791",
      "improvement_over_parent": null
    },
    "node_793": {
      "node_id": "node_793",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 481.96 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.95502919637005,
      "fos_buckling": 0.9976836626659812,
      "fos_yielding": 12.492769264140712,
      "deflection": 0.0074596503881721975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_792",
      "improvement_over_parent": null
    },
    "node_794": {
      "node_id": "node_794",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.09 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0876820889906,
      "fos_buckling": 1.537146435876675,
      "fos_yielding": 14.263667527517464,
      "deflection": 0.005956094911713179,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_793",
      "improvement_over_parent": null
    },
    "node_795": {
      "node_id": "node_795",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_794",
      "improvement_over_parent": null
    },
    "node_796": {
      "node_id": "node_796",
      "content": "INITIAL DESIGN (Trace 120)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0030)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0033)]\n\nPerformance:\n  Mass: 221.42 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.4172442339926,
      "fos_buckling": 0.6335204790096969,
      "fos_yielding": 5.8194497946306605,
      "deflection": 0.01473143257582715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_797": {
      "node_id": "node_797",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0030)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0033)]\n\nPerformance:\n  Mass: 225.76 kg\n  Factor of Safety: 0.65\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.76052882856365,
      "fos_buckling": 0.6527609317582341,
      "fos_yielding": 5.697966257479315,
      "deflection": 0.014503344060659954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.186)"
      },
      "parent_node_id": "node_796",
      "improvement_over_parent": null
    },
    "node_798": {
      "node_id": "node_798",
      "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0033)]\n\nPerformance:\n  Mass: 233.45 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.45332779884134,
      "fos_buckling": 0.6148287972110024,
      "fos_yielding": 5.95515018096047,
      "deflection": 0.013902709071484193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.401)"
      },
      "parent_node_id": "node_797",
      "improvement_over_parent": null
    },
    "node_799": {
      "node_id": "node_799",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 288.79 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 288.7935775468386,
      "fos_buckling": 0.7497265592647145,
      "fos_yielding": 7.376589306116171,
      "deflection": 0.011274212796516055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_798",
      "improvement_over_parent": null
    },
    "node_800": {
      "node_id": "node_800",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 366.93 kg\n  Factor of Safety: 0.93\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 366.92601711485463,
      "fos_buckling": 0.9331864072102588,
      "fos_yielding": 9.390009377308722,
      "deflection": 0.008912971850594632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_799",
      "improvement_over_parent": null
    },
    "node_801": {
      "node_id": "node_801",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 449.32 kg\n  Factor of Safety: 1.12\n  Max Deflection: 7.31e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.31816762820694,
      "fos_buckling": 1.117827684725031,
      "fos_yielding": 11.521662635237062,
      "deflection": 0.00731244441400961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_800",
      "improvement_over_parent": null
    },
    "node_802": {
      "node_id": "node_802",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 524.02 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.30e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.0236945496752,
      "fos_buckling": 1.2774605603905385,
      "fos_yielding": 13.46211801063803,
      "deflection": 0.006296188426172455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_801",
      "improvement_over_parent": null
    },
    "node_803": {
      "node_id": "node_803",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.661404020082,
      "fos_buckling": 1.5360917668608394,
      "fos_yielding": 14.255454084118261,
      "deflection": 0.005960351400787602,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.385)"
      },
      "parent_node_id": "node_802",
      "improvement_over_parent": null
    },
    "node_804": {
      "node_id": "node_804",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_803",
      "improvement_over_parent": null
    },
    "node_805": {
      "node_id": "node_805",
      "content": "INITIAL DESIGN (Trace 121)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n\nPerformance:\n  Mass: 242.28 kg\n  Factor of Safety: 0.13\n  Max Deflection: 2.59e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.27699841104956,
      "fos_buckling": 0.12714450149988293,
      "fos_yielding": 1.120275084095848,
      "deflection": 258580694611506.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_806": {
      "node_id": "node_806",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n\nPerformance:\n  Mass: 282.56 kg\n  Factor of Safety: 0.34\n  Max Deflection: 5.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 282.55653753943085,
      "fos_buckling": 0.34225721022167294,
      "fos_yielding": 4.014949695029818,
      "deflection": 0.05016665272835688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005752)"
      },
      "parent_node_id": "node_805",
      "improvement_over_parent": null
    },
    "node_807": {
      "node_id": "node_807",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0034)]\n\nPerformance:\n  Mass: 310.09 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 310.09231365425467,
      "fos_buckling": 0.4142141757724813,
      "fos_yielding": 4.904497961997109,
      "deflection": 0.01750087893423005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.003361)"
      },
      "parent_node_id": "node_806",
      "improvement_over_parent": null
    },
    "node_808": {
      "node_id": "node_808",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0043)]\n\nPerformance:\n  Mass: 390.98 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.98120674240573,
      "fos_buckling": 0.5163776236888812,
      "fos_yielding": 6.202973930980669,
      "deflection": 0.013885479804589118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_807",
      "improvement_over_parent": null
    },
    "node_809": {
      "node_id": "node_809",
      "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 411.55 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.5488571067372,
      "fos_buckling": 0.7317786906211294,
      "fos_yielding": 9.159188926689568,
      "deflection": 0.011962790137420316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.623)"
      },
      "parent_node_id": "node_808",
      "improvement_over_parent": null
    },
    "node_810": {
      "node_id": "node_810",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 520.52 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.48e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 520.516245607862,
      "fos_buckling": 0.8967741082069353,
      "fos_yielding": 11.576626980263857,
      "deflection": 0.009484589752969693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_809",
      "improvement_over_parent": null
    },
    "node_811": {
      "node_id": "node_811",
      "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.47 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.472255684828,
      "fos_buckling": 1.0117381671425258,
      "fos_yielding": 12.667592092475248,
      "deflection": 0.009047605848033826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.202)"
      },
      "parent_node_id": "node_810",
      "improvement_over_parent": null
    },
    "node_812": {
      "node_id": "node_812",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4417751943829,
      "fos_buckling": 1.5378303148040429,
      "fos_yielding": 14.27006706024974,
      "deflection": 0.005952438903460323,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_811",
      "improvement_over_parent": null
    },
    "node_813": {
      "node_id": "node_813",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_812",
      "improvement_over_parent": null
    },
    "node_814": {
      "node_id": "node_814",
      "content": "INITIAL DESIGN (Trace 122)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 278.91 kg\n  Factor of Safety: 0.14\n  Max Deflection: 1.81e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 278.90623194882187,
      "fos_buckling": 0.1352417179380913,
      "fos_yielding": 1.7371142611603327,
      "deflection": 180902368811294.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_815": {
      "node_id": "node_815",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 341.86 kg\n  Factor of Safety: 10.60\n  Max Deflection: 8.92e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 341.8567657877029,
      "fos_buckling": 10.601735616974677,
      "fos_yielding": 160.55286677846607,
      "deflection": 89210081706877.08,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_814",
      "improvement_over_parent": null
    },
    "node_816": {
      "node_id": "node_816",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 351.44 kg\n  Factor of Safety: 6.02\n  Max Deflection: 8.92e+13 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 351.43741615625385,
      "fos_buckling": 6.023057464405685,
      "fos_yielding": 64.3781103625203,
      "deflection": 89210081706877.08,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.193)"
      },
      "parent_node_id": "node_815",
      "improvement_over_parent": null
    },
    "node_817": {
      "node_id": "node_817",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 399.04 kg\n  Factor of Safety: 0.76\n  Max Deflection: 2.84e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 399.0401806167568,
      "fos_buckling": 0.7586071945396605,
      "fos_yielding": 12.520647880025146,
      "deflection": 28448924837059.953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_816",
      "improvement_over_parent": null
    },
    "node_818": {
      "node_id": "node_818",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 446.64 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.21e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 446.64294507725975,
      "fos_buckling": 0.5083719931343673,
      "fos_yielding": 5.09804626187592,
      "deflection": 0.03210143220911842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_817",
      "improvement_over_parent": null
    },
    "node_819": {
      "node_id": "node_819",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 530.04 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.0381775106212,
      "fos_buckling": 1.0107536470123761,
      "fos_yielding": 12.651360588850649,
      "deflection": 0.009052713384293332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_818",
      "improvement_over_parent": null
    },
    "node_820": {
      "node_id": "node_820",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 543.01 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.007697020176,
      "fos_buckling": 1.2728106689978724,
      "fos_yielding": 13.6045764470261,
      "deflection": 0.006014901345295929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_819",
      "improvement_over_parent": null
    },
    "node_821": {
      "node_id": "node_821",
      "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0165)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 580.84 kg\n  Factor of Safety: 1.45\n  Max Deflection: 5.66e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 580.8448581576272,
      "fos_buckling": 1.446287637222034,
      "fos_yielding": 15.458804050148013,
      "deflection": 0.005664149398143838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.527)"
      },
      "parent_node_id": "node_820",
      "improvement_over_parent": null
    },
    "node_822": {
      "node_id": "node_822",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_821",
      "improvement_over_parent": null
    },
    "node_823": {
      "node_id": "node_823",
      "content": "INITIAL DESIGN (Trace 123)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\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_824": {
      "node_id": "node_824",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n\nPerformance:\n  Mass: 396.10 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 396.1019906674785,
      "fos_buckling": 0.8756110215784084,
      "fos_yielding": 10.670134442949683,
      "deflection": 0.010632246664495018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007260)"
      },
      "parent_node_id": "node_823",
      "improvement_over_parent": null
    },
    "node_825": {
      "node_id": "node_825",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 466.46 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.4562019017312,
      "fos_buckling": 0.9994857402281678,
      "fos_yielding": 12.51071256046244,
      "deflection": 0.009052054167302197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_824",
      "improvement_over_parent": null
    },
    "node_826": {
      "node_id": "node_826",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 530.59 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.5888547943518,
      "fos_buckling": 1.01099476159554,
      "fos_yielding": 12.654772702977874,
      "deflection": 0.009052054167302197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_825",
      "improvement_over_parent": null
    },
    "node_827": {
      "node_id": "node_827",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 543.56 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.5583743039067,
      "fos_buckling": 1.349408232735209,
      "fos_yielding": 14.4855599831391,
      "deflection": 0.00600152008325759,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_826",
      "improvement_over_parent": null
    },
    "node_828": {
      "node_id": "node_828",
      "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0134)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 566.37 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 566.3712778459596,
      "fos_buckling": 1.250947056289181,
      "fos_yielding": 13.493580699261186,
      "deflection": 0.005901873168780322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.408)"
      },
      "parent_node_id": "node_827",
      "improvement_over_parent": null
    },
    "node_829": {
      "node_id": "node_829",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_828",
      "improvement_over_parent": null
    },
    "node_830": {
      "node_id": "node_830",
      "content": "INITIAL DESIGN (Trace 124)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\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_831": {
      "node_id": "node_831",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 365.04 kg\n  Factor of Safety: 0.77\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": 365.03822069611823,
      "fos_buckling": 0.7714847797076012,
      "fos_yielding": 9.212010074556503,
      "deflection": 0.010111604591545063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006768)"
      },
      "parent_node_id": "node_830",
      "improvement_over_parent": null
    },
    "node_832": {
      "node_id": "node_832",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 444.13 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.35e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.12549698809886,
      "fos_buckling": 0.9085229317031774,
      "fos_yielding": 11.152577936998677,
      "deflection": 0.008351557931132793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_831",
      "improvement_over_parent": null
    },
    "node_833": {
      "node_id": "node_833",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 486.52 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.66e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 486.5156212454781,
      "fos_buckling": 1.4015225908577609,
      "fos_yielding": 12.692519998617467,
      "deflection": 0.00666143740457729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007645)"
      },
      "parent_node_id": "node_832",
      "improvement_over_parent": null
    },
    "node_834": {
      "node_id": "node_834",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2880935175424,
      "fos_buckling": 1.5377217865897368,
      "fos_yielding": 14.270203074649755,
      "deflection": 0.0059539421423065305,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_833",
      "improvement_over_parent": null
    },
    "node_835": {
      "node_id": "node_835",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_834",
      "improvement_over_parent": null
    },
    "node_836": {
      "node_id": "node_836",
      "content": "INITIAL DESIGN (Trace 125)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0034)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 262.39 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 262.3944670835316,
      "fos_buckling": 0.6249149944473481,
      "fos_yielding": 4.654331721525243,
      "deflection": 0.014917142999422506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_837": {
      "node_id": "node_837",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0034)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n\nPerformance:\n  Mass: 290.69 kg\n  Factor of Safety: 0.87\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": 290.69472782497314,
      "fos_buckling": 0.8684049706255461,
      "fos_yielding": 7.52207830638388,
      "deflection": 0.011325786674860871,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.003976)"
      },
      "parent_node_id": "node_836",
      "improvement_over_parent": null
    },
    "node_838": {
      "node_id": "node_838",
      "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n\nPerformance:\n  Mass: 303.41 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 303.4136441665911,
      "fos_buckling": 0.859719298546046,
      "fos_yielding": 8.550500962977587,
      "deflection": 0.010497190855500684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.587)"
      },
      "parent_node_id": "node_837",
      "improvement_over_parent": null
    },
    "node_839": {
      "node_id": "node_839",
      "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n\nPerformance:\n  Mass: 317.48 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 317.4828064692933,
      "fos_buckling": 0.854724943370615,
      "fos_yielding": 8.769838897536138,
      "deflection": 0.010043077220077065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.314)"
      },
      "parent_node_id": "node_838",
      "improvement_over_parent": null
    },
    "node_840": {
      "node_id": "node_840",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n\nPerformance:\n  Mass: 368.89 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.67e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 368.8880764789707,
      "fos_buckling": 0.9769347595259625,
      "fos_yielding": 10.141465294604686,
      "deflection": 0.00867047396208518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_839",
      "improvement_over_parent": null
    },
    "node_841": {
      "node_id": "node_841",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0120)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 472.38 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 472.381550778353,
      "fos_buckling": 1.2100248195182224,
      "fos_yielding": 12.86806994207017,
      "deflection": 0.00681316000172762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_840",
      "improvement_over_parent": null
    },
    "node_842": {
      "node_id": "node_842",
      "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0120)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 474.40 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.77e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 474.39775581784954,
      "fos_buckling": 1.3606005497855462,
      "fos_yielding": 13.128679518061235,
      "deflection": 0.006765400246555954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.350)"
      },
      "parent_node_id": "node_841",
      "improvement_over_parent": null
    },
    "node_843": {
      "node_id": "node_843",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0142)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 554.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.82e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 554.390234704206,
      "fos_buckling": 1.5429677372034065,
      "fos_yielding": 15.359117476259112,
      "deflection": 0.0058170201724517525,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_842",
      "improvement_over_parent": null
    },
    "node_844": {
      "node_id": "node_844",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_843",
      "improvement_over_parent": null
    },
    "node_845": {
      "node_id": "node_845",
      "content": "INITIAL DESIGN (Trace 126)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_846": {
      "node_id": "node_846",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.15 kg\n  Factor of Safety: 1.00\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": 482.1465619988734,
      "fos_buckling": 0.9980356238604873,
      "fos_yielding": 12.493083165612473,
      "deflection": 0.007457272458590768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_845",
      "improvement_over_parent": null
    },
    "node_847": {
      "node_id": "node_847",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 529.00 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.9978285457917,
      "fos_buckling": 1.4677414225826095,
      "fos_yielding": 14.89682406823097,
      "deflection": 0.006084652072070017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006753)"
      },
      "parent_node_id": "node_846",
      "improvement_over_parent": null
    },
    "node_848": {
      "node_id": "node_848",
      "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0152)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 558.39 kg\n  Factor of Safety: 1.47\n  Max Deflection: 5.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 558.3901370292558,
      "fos_buckling": 1.469308931503985,
      "fos_yielding": 15.702042323453544,
      "deflection": 0.005808138209189022,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.404)"
      },
      "parent_node_id": "node_847",
      "improvement_over_parent": null
    },
    "node_849": {
      "node_id": "node_849",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_848",
      "improvement_over_parent": null
    },
    "node_850": {
      "node_id": "node_850",
      "content": "INITIAL DESIGN (Trace 127)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 404.08 kg\n  Factor of Safety: 0.62\n  Max Deflection: 9.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.0824906463629,
      "fos_buckling": 0.6173559504384405,
      "fos_yielding": 7.605061672484057,
      "deflection": 0.00983187760347489,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_851": {
      "node_id": "node_851",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 448.81 kg\n  Factor of Safety: 0.68\n  Max Deflection: 8.87e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.80686892754227,
      "fos_buckling": 0.6785988381987711,
      "fos_yielding": 8.452077469543894,
      "deflection": 0.00886594783784477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_850",
      "improvement_over_parent": null
    },
    "node_852": {
      "node_id": "node_852",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 451.86 kg\n  Factor of Safety: 0.68\n  Max Deflection: 8.87e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.8556460020005,
      "fos_buckling": 0.6785988381987711,
      "fos_yielding": 8.452077469543894,
      "deflection": 0.00886594783784477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.508)"
      },
      "parent_node_id": "node_851",
      "improvement_over_parent": null
    },
    "node_853": {
      "node_id": "node_853",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.19 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.1854260607099,
      "fos_buckling": 0.9985339429807356,
      "fos_yielding": 12.492967643129049,
      "deflection": 0.007455793961856741,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.626)"
      },
      "parent_node_id": "node_852",
      "improvement_over_parent": null
    },
    "node_854": {
      "node_id": "node_854",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.32 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3180789533305,
      "fos_buckling": 1.5377031902212208,
      "fos_yielding": 14.271872784505257,
      "deflection": 0.005953554857220261,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_853",
      "improvement_over_parent": null
    },
    "node_855": {
      "node_id": "node_855",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_854",
      "improvement_over_parent": null
    },
    "node_856": {
      "node_id": "node_856",
      "content": "INITIAL DESIGN (Trace 128)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 344.75 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.74839864604786,
      "fos_buckling": 0.756762906101842,
      "fos_yielding": 9.009911443085178,
      "deflection": 0.010340704704894288,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_857": {
      "node_id": "node_857",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 404.82 kg\n  Factor of Safety: 0.87\n  Max Deflection: 8.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.821799231465,
      "fos_buckling": 0.8663774516411011,
      "fos_yielding": 10.540211293400848,
      "deflection": 0.008839182652826849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_856",
      "improvement_over_parent": null
    },
    "node_858": {
      "node_id": "node_858",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 481.86 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.8621807447295,
      "fos_buckling": 0.99757468340504,
      "fos_yielding": 12.485996228177068,
      "deflection": 0.007461505873030204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_857",
      "improvement_over_parent": null
    },
    "node_859": {
      "node_id": "node_859",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.99 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9948336373501,
      "fos_buckling": 1.5369825172509968,
      "fos_yielding": 14.26046392080031,
      "deflection": 0.005957198880773785,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_858",
      "improvement_over_parent": null
    },
    "node_860": {
      "node_id": "node_860",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_859",
      "improvement_over_parent": null
    },
    "node_861": {
      "node_id": "node_861",
      "content": "INITIAL DESIGN (Trace 129)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 340.15 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 340.15486211839203,
      "fos_buckling": 0.46153500053892715,
      "fos_yielding": 5.277813687596295,
      "deflection": 0.014875597606201158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_862": {
      "node_id": "node_862",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 401.65 kg\n  Factor of Safety: 1.17\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": 401.6519894639336,
      "fos_buckling": 1.1667274936330019,
      "fos_yielding": 10.575138504452092,
      "deflection": 0.008038253421310588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007778)"
      },
      "parent_node_id": "node_861",
      "improvement_over_parent": null
    },
    "node_863": {
      "node_id": "node_863",
      "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 402.84 kg\n  Factor of Safety: 1.20\n  Max Deflection: 8.00e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.8387757244099,
      "fos_buckling": 1.1979153459524,
      "fos_yielding": 10.490788701294184,
      "deflection": 0.008004582615277934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.214)"
      },
      "parent_node_id": "node_862",
      "improvement_over_parent": null
    },
    "node_864": {
      "node_id": "node_864",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 473.21 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.84e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 473.2050517974219,
      "fos_buckling": 1.3701164723209136,
      "fos_yielding": 12.341877056331493,
      "deflection": 0.006843333174808001,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_863",
      "improvement_over_parent": null
    },
    "node_865": {
      "node_id": "node_865",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4297035106283,
      "fos_buckling": 1.5379984524020107,
      "fos_yielding": 14.27410097129761,
      "deflection": 0.005952461312484093,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 130)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\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_868": {
      "node_id": "node_868",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 461.82 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.74e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.8239415806972,
      "fos_buckling": 0.999314910444536,
      "fos_yielding": 12.509096856211354,
      "deflection": 0.007743618422122449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_867",
      "improvement_over_parent": null
    },
    "node_869": {
      "node_id": "node_869",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 525.96 kg\n  Factor of Safety: 1.30\n  Max Deflection: 6.26e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 525.9565944733178,
      "fos_buckling": 1.2957828740947892,
      "fos_yielding": 13.533898848442481,
      "deflection": 0.006263562972190338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_868",
      "improvement_over_parent": null
    },
    "node_870": {
      "node_id": "node_870",
      "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0128)]\n\nPerformance:\n  Mass: 545.81 kg\n  Factor of Safety: 1.29\n  Max Deflection: 6.17e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.8108452884682,
      "fos_buckling": 1.2916618851552482,
      "fos_yielding": 13.149712098847838,
      "deflection": 0.006169524251961736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.353)"
      },
      "parent_node_id": "node_869",
      "improvement_over_parent": null
    },
    "node_871": {
      "node_id": "node_871",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_870",
      "improvement_over_parent": null
    },
    "node_872": {
      "node_id": "node_872",
      "content": "INITIAL DESIGN (Trace 131)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 261.27 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.2692345802434,
      "fos_buckling": 0.4228737442824268,
      "fos_yielding": 4.780314746969085,
      "deflection": 0.018217713174492244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_873": {
      "node_id": "node_873",
      "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 275.68 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 275.6807327197325,
      "fos_buckling": 0.4224848494031344,
      "fos_yielding": 4.775963287212344,
      "deflection": 0.018232487571563632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.572)"
      },
      "parent_node_id": "node_872",
      "improvement_over_parent": null
    },
    "node_874": {
      "node_id": "node_874",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n\nPerformance:\n  Mass: 307.28 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 307.2776422591312,
      "fos_buckling": 0.42163470376726453,
      "fos_yielding": 4.766450472442438,
      "deflection": 0.016461379382584792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005579)"
      },
      "parent_node_id": "node_873",
      "improvement_over_parent": null
    },
    "node_875": {
      "node_id": "node_875",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 362.64 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.87e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 362.63854711327417,
      "fos_buckling": 1.0946814834259846,
      "fos_yielding": 9.435790755831459,
      "deflection": 0.008870207732776038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006955)"
      },
      "parent_node_id": "node_874",
      "improvement_over_parent": null
    },
    "node_876": {
      "node_id": "node_876",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 473.96 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.83e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 473.9555242045441,
      "fos_buckling": 1.3718711702797233,
      "fos_yielding": 12.361685111075184,
      "deflection": 0.006832753412687004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_875",
      "improvement_over_parent": null
    },
    "node_877": {
      "node_id": "node_877",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4325012398197,
      "fos_buckling": 1.537977413728532,
      "fos_yielding": 14.274216909480401,
      "deflection": 0.005952385978614208,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_876",
      "improvement_over_parent": null
    },
    "node_878": {
      "node_id": "node_878",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_877",
      "improvement_over_parent": null
    },
    "node_879": {
      "node_id": "node_879",
      "content": "INITIAL DESIGN (Trace 132)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 294.37 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 294.3706740493734,
      "fos_buckling": 0.4179870844726647,
      "fos_yielding": 4.72001273284035,
      "deflection": 0.016986649261698582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_880": {
      "node_id": "node_880",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n\nPerformance:\n  Mass: 383.96 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.963386227088,
      "fos_buckling": 0.5235021824743752,
      "fos_yielding": 6.10053407683279,
      "deflection": 0.013095260232872882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_879",
      "improvement_over_parent": null
    },
    "node_881": {
      "node_id": "node_881",
      "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n\nPerformance:\n  Mass: 396.26 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 396.26094565589193,
      "fos_buckling": 0.5230944698007376,
      "fos_yielding": 6.0958445975899025,
      "deflection": 0.012832730038563719,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.225)"
      },
      "parent_node_id": "node_880",
      "improvement_over_parent": null
    },
    "node_882": {
      "node_id": "node_882",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 467.66 kg\n  Factor of Safety: 1.36\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": 467.66240505613325,
      "fos_buckling": 1.3565435732728153,
      "fos_yielding": 12.195519272835663,
      "deflection": 0.006922214398347192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009132)"
      },
      "parent_node_id": "node_881",
      "improvement_over_parent": null
    },
    "node_883": {
      "node_id": "node_883",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4223541220041,
      "fos_buckling": 1.5375615926770934,
      "fos_yielding": 14.273503809539324,
      "deflection": 0.005952614596071737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_882",
      "improvement_over_parent": null
    },
    "node_884": {
      "node_id": "node_884",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_883",
      "improvement_over_parent": null
    },
    "node_885": {
      "node_id": "node_885",
      "content": "INITIAL DESIGN (Trace 133)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\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_886": {
      "node_id": "node_886",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 355.43 kg\n  Factor of Safety: 0.05\n  Max Deflection: 2.19e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.4264962588655,
      "fos_buckling": 0.054840281213281286,
      "fos_yielding": 0.4522366192143578,
      "deflection": 218920886305622.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007653)"
      },
      "parent_node_id": "node_885",
      "improvement_over_parent": null
    },
    "node_887": {
      "node_id": "node_887",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 429.77 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.34e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 429.7658434480053,
      "fos_buckling": 0.9100162761795577,
      "fos_yielding": 11.172146921409222,
      "deflection": 0.008339047437267296,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009540)"
      },
      "parent_node_id": "node_886",
      "improvement_over_parent": null
    },
    "node_888": {
      "node_id": "node_888",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.17 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.1743994254669,
      "fos_buckling": 0.9980980955764335,
      "fos_yielding": 12.493716333634273,
      "deflection": 0.007456817772600354,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_887",
      "improvement_over_parent": null
    },
    "node_889": {
      "node_id": "node_889",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.31 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3070523180875,
      "fos_buckling": 1.5377650618770198,
      "fos_yielding": 14.270791717968415,
      "deflection": 0.005953724817641351,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 134)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n\nPerformance:\n  Mass: 317.83 kg\n  Factor of Safety: 0.91\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": 317.8274051762231,
      "fos_buckling": 0.9060523931529957,
      "fos_yielding": 7.469123688360969,
      "deflection": 0.010599758381153783,
      "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 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n\nPerformance:\n  Mass: 322.90 kg\n  Factor of Safety: 0.98\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": 322.9000215570605,
      "fos_buckling": 0.9782878890127712,
      "fos_yielding": 8.165533238293683,
      "deflection": 0.010191902668402324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.253)"
      },
      "parent_node_id": "node_891",
      "improvement_over_parent": null
    },
    "node_893": {
      "node_id": "node_893",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 412.53 kg\n  Factor of Safety: 1.21\n  Max Deflection: 8.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 412.53088118853896,
      "fos_buckling": 1.2086844828134358,
      "fos_yielding": 10.450485917146219,
      "deflection": 0.008017210075349007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_892",
      "improvement_over_parent": null
    },
    "node_894": {
      "node_id": "node_894",
      "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 427.85 kg\n  Factor of Safety: 1.26\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": 427.84719622489865,
      "fos_buckling": 1.2603482443423102,
      "fos_yielding": 11.147935777806005,
      "deflection": 0.00754807626544486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.495)"
      },
      "parent_node_id": "node_893",
      "improvement_over_parent": null
    },
    "node_895": {
      "node_id": "node_895",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.33 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3326364340304,
      "fos_buckling": 1.5377851194819683,
      "fos_yielding": 14.271415463509927,
      "deflection": 0.00595345221227458,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_894",
      "improvement_over_parent": null
    },
    "node_896": {
      "node_id": "node_896",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_895",
      "improvement_over_parent": null
    },
    "node_897": {
      "node_id": "node_897",
      "content": "INITIAL DESIGN (Trace 135)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 424.68 kg\n  Factor of Safety: 1.00\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": 424.67546468555366,
      "fos_buckling": 1.0013996172125328,
      "fos_yielding": 12.535192532964613,
      "deflection": 0.008096034575425914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_898": {
      "node_id": "node_898",
      "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 426.07 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.10e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 426.0742148315791,
      "fos_buckling": 1.0013996172125328,
      "fos_yielding": 12.535192532964613,
      "deflection": 0.008096034575425914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.271)"
      },
      "parent_node_id": "node_897",
      "improvement_over_parent": null
    },
    "node_899": {
      "node_id": "node_899",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 473.68 kg\n  Factor of Safety: 1.15\n  Max Deflection: 6.83e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 473.6769792920821,
      "fos_buckling": 1.1463700516262374,
      "fos_yielding": 14.401445449995965,
      "deflection": 0.006831710205679733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_898",
      "improvement_over_parent": null
    },
    "node_900": {
      "node_id": "node_900",
      "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0091)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 494.09 kg\n  Factor of Safety: 1.14\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": 494.0895953969799,
      "fos_buckling": 1.1416990974761734,
      "fos_yielding": 14.32276735349943,
      "deflection": 0.006672203563100253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.538)"
      },
      "parent_node_id": "node_899",
      "improvement_over_parent": null
    },
    "node_901": {
      "node_id": "node_901",
      "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0104)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0091)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 517.02 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.23e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.0246245219237,
      "fos_buckling": 1.3384151469483336,
      "fos_yielding": 14.403865195113212,
      "deflection": 0.00623094254513721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.437)"
      },
      "parent_node_id": "node_900",
      "improvement_over_parent": null
    },
    "node_902": {
      "node_id": "node_902",
      "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0104)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0091)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0173)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 559.78 kg\n  Factor of Safety: 1.42\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 559.7849691391987,
      "fos_buckling": 1.4167818224271018,
      "fos_yielding": 16.437188496330574,
      "deflection": 0.005851085668509524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.600)"
      },
      "parent_node_id": "node_901",
      "improvement_over_parent": null
    },
    "node_903": {
      "node_id": "node_903",
      "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0104)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0092)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0091)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0173)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 579.41 kg\n  Factor of Safety: 1.50\n  Max Deflection: 5.68e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 579.4121291920736,
      "fos_buckling": 1.5018116196933742,
      "fos_yielding": 15.500304427755044,
      "deflection": 0.005681805406231398,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.499)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 136)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0027)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n\nPerformance:\n  Mass: 242.47 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.42e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.46678734945004,
      "fos_buckling": 0.3740268574440912,
      "fos_yielding": 3.135495786676104,
      "deflection": 0.024205163124327318,
      "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 all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0033)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 291.05 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 291.05181950863044,
      "fos_buckling": 0.4386414455290473,
      "fos_yielding": 3.769105043557472,
      "deflection": 0.0201897808220593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_905",
      "improvement_over_parent": null
    },
    "node_907": {
      "node_id": "node_907",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0033)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 299.94 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 299.94260933623457,
      "fos_buckling": 0.4383929631102913,
      "fos_yielding": 3.7669699139491883,
      "deflection": 0.0199077167063261,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.193)"
      },
      "parent_node_id": "node_906",
      "improvement_over_parent": null
    },
    "node_908": {
      "node_id": "node_908",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 369.57 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.57422512707035,
      "fos_buckling": 0.5227588591514576,
      "fos_yielding": 4.653510354537968,
      "deflection": 0.016180946237511793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_907",
      "improvement_over_parent": null
    },
    "node_909": {
      "node_id": "node_909",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 375.13 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 375.1330272938977,
      "fos_buckling": 0.5225745781789721,
      "fos_yielding": 5.540613196470339,
      "deflection": 0.015044485962314882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.200)"
      },
      "parent_node_id": "node_908",
      "improvement_over_parent": null
    },
    "node_910": {
      "node_id": "node_910",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 395.24 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.2366506509094,
      "fos_buckling": 0.5219092021218421,
      "fos_yielding": 6.079736415694413,
      "deflection": 0.012866059310022781,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.626)"
      },
      "parent_node_id": "node_909",
      "improvement_over_parent": null
    },
    "node_911": {
      "node_id": "node_911",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 462.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.88195694002735,
      "fos_buckling": 0.5930353522742229,
      "fos_yielding": 7.075095859492957,
      "deflection": 0.011030486304699744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_910",
      "improvement_over_parent": null
    },
    "node_912": {
      "node_id": "node_912",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2771893733888,
      "fos_buckling": 1.5376548245612929,
      "fos_yielding": 14.270027791895448,
      "deflection": 0.005954015182862774,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_911",
      "improvement_over_parent": null
    },
    "node_913": {
      "node_id": "node_913",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_912",
      "improvement_over_parent": null
    },
    "node_914": {
      "node_id": "node_914",
      "content": "INITIAL DESIGN (Trace 137)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 312.44 kg\n  Factor of Safety: 0.05\n  Max Deflection: 3.05e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 312.4429987130839,
      "fos_buckling": 0.04743139419549569,
      "fos_yielding": 0.4020278921491179,
      "deflection": 304558504235220.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_915": {
      "node_id": "node_915",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 395.84 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.33e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.83823114644537,
      "fos_buckling": 0.21514602430419996,
      "fos_yielding": 1.8089464768574308,
      "deflection": 43308730830925.15,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_914",
      "improvement_over_parent": null
    },
    "node_916": {
      "node_id": "node_916",
      "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 398.74 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.33e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.7413757873917,
      "fos_buckling": 0.21514602430419996,
      "fos_yielding": 1.8089464768574308,
      "deflection": 43308730830925.15,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.473)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.87 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8740286800123,
      "fos_buckling": 0.593054713704449,
      "fos_yielding": 7.073618827168073,
      "deflection": 0.011030639461582219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_916",
      "improvement_over_parent": null
    },
    "node_918": {
      "node_id": "node_918",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2692611133738,
      "fos_buckling": 1.5376441044700409,
      "fos_yielding": 14.269930101889035,
      "deflection": 0.005954149083901877,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_917",
      "improvement_over_parent": null
    },
    "node_919": {
      "node_id": "node_919",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_918",
      "improvement_over_parent": null
    },
    "node_920": {
      "node_id": "node_920",
      "content": "INITIAL DESIGN (Trace 138)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\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_921": {
      "node_id": "node_921",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n\nPerformance:\n  Mass: 280.10 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.67e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 280.1003669140081,
      "fos_buckling": 0.3444150609281769,
      "fos_yielding": 5.827906334562794,
      "deflection": 26688169705197.25,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005526)"
      },
      "parent_node_id": "node_920",
      "improvement_over_parent": null
    },
    "node_922": {
      "node_id": "node_922",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 314.92 kg\n  Factor of Safety: 0.86\n  Max Deflection: 9.19e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 314.9207184832619,
      "fos_buckling": 0.8605713566758664,
      "fos_yielding": 7.235785907429725,
      "deflection": 9193138760688.854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_921",
      "improvement_over_parent": null
    },
    "node_923": {
      "node_id": "node_923",
      "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0088)]\n\nPerformance:\n  Mass: 319.42 kg\n  Factor of Safety: 0.76\n  Max Deflection: 8.80e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 319.4159765942298,
      "fos_buckling": 0.7590072639090687,
      "fos_yielding": 7.235785907429723,
      "deflection": 8797853786128.168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.397)"
      },
      "parent_node_id": "node_922",
      "improvement_over_parent": null
    },
    "node_924": {
      "node_id": "node_924",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 402.81 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.81120902759125,
      "fos_buckling": 0.5952228939314261,
      "fos_yielding": 7.101060686254147,
      "deflection": 0.012018376482419183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_923",
      "improvement_over_parent": null
    },
    "node_925": {
      "node_id": "node_925",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n\nPerformance:\n  Mass: 434.40 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.4027755742572,
      "fos_buckling": 0.5940351539325748,
      "fos_yielding": 7.087104861870651,
      "deflection": 0.0109260981103138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005578)"
      },
      "parent_node_id": "node_924",
      "improvement_over_parent": null
    },
    "node_926": {
      "node_id": "node_926",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 517.80 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.7980080076186,
      "fos_buckling": 1.3845587967486044,
      "fos_yielding": 17.815385464594403,
      "deflection": 0.006130099565372403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_925",
      "improvement_over_parent": null
    },
    "node_927": {
      "node_id": "node_927",
      "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0084)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 522.39 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 522.3914346469611,
      "fos_buckling": 1.3863247980644506,
      "fos_yielding": 17.805646102844353,
      "deflection": 0.00608450242869839,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.555)"
      },
      "parent_node_id": "node_926",
      "improvement_over_parent": null
    },
    "node_928": {
      "node_id": "node_928",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_927",
      "improvement_over_parent": null
    },
    "node_929": {
      "node_id": "node_929",
      "content": "INITIAL DESIGN (Trace 139)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 331.87 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.49e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 331.87115741748164,
      "fos_buckling": 0.224771438870083,
      "fos_yielding": 3.3881430579149945,
      "deflection": 34886146300849.305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_930": {
      "node_id": "node_930",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 407.23 kg\n  Factor of Safety: 0.92\n  Max Deflection: 9.99e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.22794452613715,
      "fos_buckling": 0.9224669060639515,
      "fos_yielding": 11.349757318606633,
      "deflection": 0.00999424735318942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009682)"
      },
      "parent_node_id": "node_929",
      "improvement_over_parent": null
    },
    "node_931": {
      "node_id": "node_931",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 465.17 kg\n  Factor of Safety: 0.93\n  Max Deflection: 9.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 465.17475403579874,
      "fos_buckling": 0.9314511399811013,
      "fos_yielding": 11.460105302760772,
      "deflection": 0.009994246628020209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008490)"
      },
      "parent_node_id": "node_930",
      "improvement_over_parent": null
    },
    "node_932": {
      "node_id": "node_932",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n\nPerformance:\n  Mass: 476.89 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 476.8934411826256,
      "fos_buckling": 1.3533879622184233,
      "fos_yielding": 13.465825085337034,
      "deflection": 0.00671293113408165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005618)"
      },
      "parent_node_id": "node_931",
      "improvement_over_parent": null
    },
    "node_933": {
      "node_id": "node_933",
      "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0114)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n\nPerformance:\n  Mass: 489.03 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.54e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 489.0334000838755,
      "fos_buckling": 1.4248434988502576,
      "fos_yielding": 13.81566757838239,
      "deflection": 0.006536522460820366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.178)"
      },
      "parent_node_id": "node_932",
      "improvement_over_parent": null
    },
    "node_934": {
      "node_id": "node_934",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0127)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 541.09 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.93e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 541.0858773116497,
      "fos_buckling": 1.5447299233504268,
      "fos_yielding": 15.295087111499043,
      "deflection": 0.005926850665236015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_933",
      "improvement_over_parent": null
    },
    "node_935": {
      "node_id": "node_935",
      "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0127)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 550.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.87e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 550.4532739242777,
      "fos_buckling": 1.5415056265905664,
      "fos_yielding": 14.923963682737412,
      "deflection": 0.0058657049021166785,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.269)"
      },
      "parent_node_id": "node_934",
      "improvement_over_parent": null
    },
    "node_936": {
      "node_id": "node_936",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_935",
      "improvement_over_parent": null
    },
    "node_937": {
      "node_id": "node_937",
      "content": "INITIAL DESIGN (Trace 140)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_938": {
      "node_id": "node_938",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 471.30 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.3024223935298,
      "fos_buckling": 0.9995349749924182,
      "fos_yielding": 12.511851552168855,
      "deflection": 0.009014160450805615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_937",
      "improvement_over_parent": null
    },
    "node_939": {
      "node_id": "node_939",
      "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 485.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.67861040181015,
      "fos_buckling": 0.9986292720884768,
      "fos_yielding": 12.500514259759896,
      "deflection": 0.009022467897509228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.475)"
      },
      "parent_node_id": "node_938",
      "improvement_over_parent": null
    },
    "node_940": {
      "node_id": "node_940",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 533.28 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.2813748623131,
      "fos_buckling": 1.011663845649509,
      "fos_yielding": 12.66367678385536,
      "deflection": 0.00904997570614894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_939",
      "improvement_over_parent": null
    },
    "node_941": {
      "node_id": "node_941",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.250894371868,
      "fos_buckling": 1.537593788288004,
      "fos_yielding": 14.271177586970849,
      "deflection": 0.005954221129416384,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_940",
      "improvement_over_parent": null
    },
    "node_942": {
      "node_id": "node_942",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_941",
      "improvement_over_parent": null
    },
    "node_943": {
      "node_id": "node_943",
      "content": "INITIAL DESIGN (Trace 141)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 334.90 kg\n  Factor of Safety: 0.72\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": 334.89898867727493,
      "fos_buckling": 0.7165027532480295,
      "fos_yielding": 8.467466848866486,
      "deflection": 0.011001024977078167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_944": {
      "node_id": "node_944",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 402.81 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.80682006330454,
      "fos_buckling": 0.8382366847326883,
      "fos_yielding": 10.141197045537114,
      "deflection": 0.009184807946258608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_943",
      "improvement_over_parent": null
    },
    "node_945": {
      "node_id": "node_945",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.56 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.5609908574368,
      "fos_buckling": 0.996813584610109,
      "fos_yielding": 12.477260056335277,
      "deflection": 0.007464520091752351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_944",
      "improvement_over_parent": null
    },
    "node_946": {
      "node_id": "node_946",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.16 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1637553179398,
      "fos_buckling": 1.5374134781927464,
      "fos_yielding": 14.266084636948731,
      "deflection": 0.005955302890356652,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 142)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 331.03 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 331.03328718854686,
      "fos_buckling": 0.7752769715536948,
      "fos_yielding": 9.260146322858056,
      "deflection": 0.012267689585872679,
      "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 2 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 344.26 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.25556156590505,
      "fos_buckling": 0.7746252621963223,
      "fos_yielding": 9.252362106080467,
      "deflection": 0.012278102016717314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.650)"
      },
      "parent_node_id": "node_948",
      "improvement_over_parent": null
    },
    "node_950": {
      "node_id": "node_950",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n\nPerformance:\n  Mass: 353.77 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 353.772896862652,
      "fos_buckling": 0.773688988787606,
      "fos_yielding": 9.241178968852058,
      "deflection": 0.010082249163027114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004490)"
      },
      "parent_node_id": "node_949",
      "improvement_over_parent": null
    },
    "node_951": {
      "node_id": "node_951",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 400.83 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 400.83210684287627,
      "fos_buckling": 1.1928502629737456,
      "fos_yielding": 10.440089142437222,
      "deflection": 0.0080434482287668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006785)"
      },
      "parent_node_id": "node_950",
      "improvement_over_parent": null
    },
    "node_952": {
      "node_id": "node_952",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 470.88 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 470.8803278143643,
      "fos_buckling": 1.3645987246485243,
      "fos_yielding": 12.28297103503226,
      "deflection": 0.006875960305173324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_951",
      "improvement_over_parent": null
    },
    "node_953": {
      "node_id": "node_953",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.90 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8992304157499,
      "fos_buckling": 1.5368195686922594,
      "fos_yielding": 14.262765897187414,
      "deflection": 0.0059578899869789015,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_952",
      "improvement_over_parent": null
    },
    "node_954": {
      "node_id": "node_954",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_953",
      "improvement_over_parent": null
    },
    "node_955": {
      "node_id": "node_955",
      "content": "INITIAL DESIGN (Trace 143)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 342.81 kg\n  Factor of Safety: 0.81\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": 342.8141101852893,
      "fos_buckling": 0.8121268202399164,
      "fos_yielding": 6.414731176602435,
      "deflection": 0.011353850062515708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_956": {
      "node_id": "node_956",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 392.53 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 392.53229679328035,
      "fos_buckling": 1.1900705665381082,
      "fos_yielding": 9.6953899299498,
      "deflection": 0.008604695317315645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007196)"
      },
      "parent_node_id": "node_955",
      "improvement_over_parent": null
    },
    "node_957": {
      "node_id": "node_957",
      "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 407.04 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.0443762356791,
      "fos_buckling": 1.1815301221432604,
      "fos_yielding": 10.26694819160141,
      "deflection": 0.00815470855798473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.464)"
      },
      "parent_node_id": "node_956",
      "improvement_over_parent": null
    },
    "node_958": {
      "node_id": "node_958",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 473.16 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 473.16314011938414,
      "fos_buckling": 1.339436092776621,
      "fos_yielding": 11.95061963918957,
      "deflection": 0.007040297489981658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_957",
      "improvement_over_parent": null
    },
    "node_959": {
      "node_id": "node_959",
      "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 492.15 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.59e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 492.14582813271335,
      "fos_buckling": 1.4144679978832142,
      "fos_yielding": 12.84130452199849,
      "deflection": 0.00658732521611531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.560)"
      },
      "parent_node_id": "node_958",
      "improvement_over_parent": null
    },
    "node_960": {
      "node_id": "node_960",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.89 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8907193455353,
      "fos_buckling": 1.5366183365496946,
      "fos_yielding": 14.260093439183219,
      "deflection": 0.005958009639336559,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_959",
      "improvement_over_parent": null
    },
    "node_961": {
      "node_id": "node_961",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_960",
      "improvement_over_parent": null
    },
    "node_962": {
      "node_id": "node_962",
      "content": "INITIAL DESIGN (Trace 144)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 463.60 kg\n  Factor of Safety: 0.62\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": 463.59801772865455,
      "fos_buckling": 0.6228201123193153,
      "fos_yielding": 7.682493155768712,
      "deflection": 0.009259958933127681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_963": {
      "node_id": "node_963",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 511.20 kg\n  Factor of Safety: 1.10\n  Max Deflection: 6.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 511.2007821891575,
      "fos_buckling": 1.1032868666049396,
      "fos_yielding": 12.808407368642225,
      "deflection": 0.006603467075971215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_962",
      "improvement_over_parent": null
    },
    "node_964": {
      "node_id": "node_964",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0112)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 521.62 kg\n  Factor of Safety: 1.13\n  Max Deflection: 6.52e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 521.6188829898482,
      "fos_buckling": 1.1319201162081522,
      "fos_yielding": 12.590593773595494,
      "deflection": 0.006517753925066828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.182)"
      },
      "parent_node_id": "node_963",
      "improvement_over_parent": null
    },
    "node_965": {
      "node_id": "node_965",
      "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0170)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 553.95 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.35e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 553.9474886197629,
      "fos_buckling": 1.194825356615582,
      "fos_yielding": 12.176862615011089,
      "deflection": 0.006345706791094376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.520)"
      },
      "parent_node_id": "node_964",
      "improvement_over_parent": null
    },
    "node_966": {
      "node_id": "node_966",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_965",
      "improvement_over_parent": null
    },
    "node_967": {
      "node_id": "node_967",
      "content": "INITIAL DESIGN (Trace 145)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 274.52 kg\n  Factor of Safety: 0.86\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": 274.5209371471155,
      "fos_buckling": 0.8560305705369012,
      "fos_yielding": 7.129431889812838,
      "deflection": 0.011654800829467356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_968": {
      "node_id": "node_968",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 326.42 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 326.42234759085807,
      "fos_buckling": 0.9987055875309129,
      "fos_yielding": 8.486742739090685,
      "deflection": 0.009832733346788367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_967",
      "improvement_over_parent": null
    },
    "node_969": {
      "node_id": "node_969",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 399.27 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 399.2674830716448,
      "fos_buckling": 1.1889217333943867,
      "fos_yielding": 10.396857246207404,
      "deflection": 0.008074415502538953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_968",
      "improvement_over_parent": null
    },
    "node_970": {
      "node_id": "node_970",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 489.04 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 489.04154399569387,
      "fos_buckling": 1.407434211580275,
      "fos_yielding": 12.759088831158694,
      "deflection": 0.006628037430470673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_969",
      "improvement_over_parent": null
    },
    "node_971": {
      "node_id": "node_971",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.89 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.8895768394535,
      "fos_buckling": 1.539055045132475,
      "fos_yielding": 14.286075919679583,
      "deflection": 0.005947606810471552,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_970",
      "improvement_over_parent": null
    },
    "node_972": {
      "node_id": "node_972",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_971",
      "improvement_over_parent": null
    },
    "node_973": {
      "node_id": "node_973",
      "content": "INITIAL DESIGN (Trace 146)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\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_974": {
      "node_id": "node_974",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n\nPerformance:\n  Mass: 323.10 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.27e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 323.097210800486,
      "fos_buckling": 0.6856790441993498,
      "fos_yielding": 7.501359998581189,
      "deflection": 22730417852861.668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006903)"
      },
      "parent_node_id": "node_973",
      "improvement_over_parent": null
    },
    "node_975": {
      "node_id": "node_975",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 399.01 kg\n  Factor of Safety: 2.29\n  Max Deflection: 1.28e+13 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 399.01109173599446,
      "fos_buckling": 2.2920671408511906,
      "fos_yielding": 26.209764458497823,
      "deflection": 12835326135982.479,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_974",
      "improvement_over_parent": null
    },
    "node_976": {
      "node_id": "node_976",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.14 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.1437446286151,
      "fos_buckling": 0.5933832914621642,
      "fos_yielding": 7.079909746593996,
      "deflection": 0.011025344165422401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_975",
      "improvement_over_parent": null
    },
    "node_977": {
      "node_id": "node_977",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5389770619765,
      "fos_buckling": 1.5377007627572659,
      "fos_yielding": 14.278884181213229,
      "deflection": 0.005951198942797517,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_976",
      "improvement_over_parent": null
    },
    "node_978": {
      "node_id": "node_978",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_977",
      "improvement_over_parent": null
    },
    "node_979": {
      "node_id": "node_979",
      "content": "INITIAL DESIGN (Trace 147)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\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_980": {
      "node_id": "node_980",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 428.63 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 428.6294242050558,
      "fos_buckling": 0.8990790545904155,
      "fos_yielding": 9.352955925278994,
      "deflection": 0.008908078346755686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008237)"
      },
      "parent_node_id": "node_979",
      "improvement_over_parent": null
    },
    "node_981": {
      "node_id": "node_981",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 488.05 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.85e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 488.05262255282076,
      "fos_buckling": 0.9977940191804233,
      "fos_yielding": 10.629278949947794,
      "deflection": 0.00784890986987302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_980",
      "improvement_over_parent": null
    },
    "node_982": {
      "node_id": "node_982",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 535.66 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.12e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 535.6553870133238,
      "fos_buckling": 1.510187340009451,
      "fos_yielding": 14.003047915898547,
      "deflection": 0.006122350637767533,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_981",
      "improvement_over_parent": null
    },
    "node_983": {
      "node_id": "node_983",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 544.86 kg\n  Factor of Safety: 1.50\n  Max Deflection: 5.98e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.8631758911922,
      "fos_buckling": 1.5045135734342467,
      "fos_yielding": 14.384766200646503,
      "deflection": 0.005976732207235168,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.192)"
      },
      "parent_node_id": "node_982",
      "improvement_over_parent": null
    },
    "node_984": {
      "node_id": "node_984",
      "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0076)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 547.27 kg\n  Factor of Safety: 1.48\n  Max Deflection: 5.92e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 547.2650829165141,
      "fos_buckling": 1.4799873492389788,
      "fos_yielding": 16.27752558261042,
      "deflection": 0.0059236546082534446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.208)"
      },
      "parent_node_id": "node_983",
      "improvement_over_parent": null
    },
    "node_985": {
      "node_id": "node_985",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_984",
      "improvement_over_parent": null
    },
    "node_986": {
      "node_id": "node_986",
      "content": "INITIAL DESIGN (Trace 148)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\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_987": {
      "node_id": "node_987",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 412.76 kg\n  Factor of Safety: 0.90\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": 412.7552263855222,
      "fos_buckling": 0.9015963519546655,
      "fos_yielding": 11.046329713783855,
      "deflection": 0.010238946278265972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005994)"
      },
      "parent_node_id": "node_986",
      "improvement_over_parent": null
    },
    "node_988": {
      "node_id": "node_988",
      "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0113)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 431.69 kg\n  Factor of Safety: 0.90\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": 431.68936912090874,
      "fos_buckling": 0.9005168621748784,
      "fos_yielding": 11.033103839472876,
      "deflection": 0.01023894627826597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.376)"
      },
      "parent_node_id": "node_987",
      "improvement_over_parent": null
    },
    "node_989": {
      "node_id": "node_989",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0113)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n\nPerformance:\n  Mass: 443.10 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.32e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 443.098515216334,
      "fos_buckling": 0.8992193557232795,
      "fos_yielding": 11.017206831860706,
      "deflection": 0.008316067479475886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005457)"
      },
      "parent_node_id": "node_988",
      "improvement_over_parent": null
    },
    "node_990": {
      "node_id": "node_990",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0113)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 484.97 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.76e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 484.9723996020726,
      "fos_buckling": 1.3235122313104721,
      "fos_yielding": 12.61815471015929,
      "deflection": 0.006764352565579241,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007544)"
      },
      "parent_node_id": "node_989",
      "improvement_over_parent": null
    },
    "node_991": {
      "node_id": "node_991",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0131)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 551.36 kg\n  Factor of Safety: 1.47\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 551.3561712118988,
      "fos_buckling": 1.468253657917018,
      "fos_yielding": 14.374649864614923,
      "deflection": 0.005971095134967627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_990",
      "improvement_over_parent": null
    },
    "node_992": {
      "node_id": "node_992",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_991",
      "improvement_over_parent": null
    },
    "node_993": {
      "node_id": "node_993",
      "content": "INITIAL DESIGN (Trace 149)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 428.50 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.49e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 428.49752766850054,
      "fos_buckling": 1.2350428180883286,
      "fos_yielding": 11.977101150233539,
      "deflection": 0.007489525009349464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_994": {
      "node_id": "node_994",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 531.39 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.3907246657542,
      "fos_buckling": 1.47126110974296,
      "fos_yielding": 14.870138917600991,
      "deflection": 0.006077779184948658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_993",
      "improvement_over_parent": null
    },
    "node_995": {
      "node_id": "node_995",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.01 kg\n  Factor of Safety: 1.39\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.0122405589102,
      "fos_buckling": 1.3881332465518665,
      "fos_yielding": 14.46058867454817,
      "deflection": 0.005993431994116989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.269)"
      },
      "parent_node_id": "node_994",
      "improvement_over_parent": null
    },
    "node_996": {
      "node_id": "node_996",
      "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3694391120389,
      "fos_buckling": 1.5379097918151161,
      "fos_yielding": 14.272302960023923,
      "deflection": 0.00595303009539439,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.355)"
      },
      "parent_node_id": "node_995",
      "improvement_over_parent": null
    },
    "node_997": {
      "node_id": "node_997",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_996",
      "improvement_over_parent": null
    },
    "node_998": {
      "node_id": "node_998",
      "content": "INITIAL DESIGN (Trace 150)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 342.07 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.55e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 342.0687792160728,
      "fos_buckling": 0.8359034214542003,
      "fos_yielding": 9.391397426533866,
      "deflection": 0.00954623927999104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_999": {
      "node_id": "node_999",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 351.75 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.7529534797262,
      "fos_buckling": 0.8927539993051328,
      "fos_yielding": 8.988720509437377,
      "deflection": 0.009298115481424143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.460)"
      },
      "parent_node_id": "node_998",
      "improvement_over_parent": null
    },
    "node_1000": {
      "node_id": "node_1000",
      "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 367.13 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 367.13382061741754,
      "fos_buckling": 1.1062482581449131,
      "fos_yielding": 9.55327867382806,
      "deflection": 0.008764134326443868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.401)"
      },
      "parent_node_id": "node_999",
      "improvement_over_parent": null
    },
    "node_1001": {
      "node_id": "node_1001",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 429.76 kg\n  Factor of Safety: 1.26\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": 429.75704314262236,
      "fos_buckling": 1.2648728191483745,
      "fos_yielding": 11.197822249390642,
      "deflection": 0.007515504498510988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_1000",
      "improvement_over_parent": null
    },
    "node_1002": {
      "node_id": "node_1002",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.03 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0340370717857,
      "fos_buckling": 1.5369200653361912,
      "fos_yielding": 14.263101491022647,
      "deflection": 0.0059566815262797786,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_1001",
      "improvement_over_parent": null
    },
    "node_1003": {
      "node_id": "node_1003",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1002",
      "improvement_over_parent": null
    },
    "node_1004": {
      "node_id": "node_1004",
      "content": "INITIAL DESIGN (Trace 151)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 257.36 kg\n  Factor of Safety: 1.23\n  Max Deflection: 1.82e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.356719221069,
      "fos_buckling": 1.2328922717831348,
      "fos_yielding": 13.61609494778748,
      "deflection": 18224669506111.766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1005": {
      "node_id": "node_1005",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 329.44 kg\n  Factor of Safety: 1.76\n  Max Deflection: 8.49e+12 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 329.4369573214147,
      "fos_buckling": 1.7632926500422086,
      "fos_yielding": 14.471571814859447,
      "deflection": 8494205696807.206,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009226)"
      },
      "parent_node_id": "node_1004",
      "improvement_over_parent": null
    },
    "node_1006": {
      "node_id": "node_1006",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 335.41 kg\n  Factor of Safety: 1.76\n  Max Deflection: 8.05e+12 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 335.4097009276591,
      "fos_buckling": 1.7632926500422086,
      "fos_yielding": 14.471571814859447,
      "deflection": 8045670984892.439,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.244)"
      },
      "parent_node_id": "node_1005",
      "improvement_over_parent": null
    },
    "node_1007": {
      "node_id": "node_1007",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 407.49 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.59e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.4899390280048,
      "fos_buckling": 0.8878293177093206,
      "fos_yielding": 10.847935698378997,
      "deflection": 0.008588333446939054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009226)"
      },
      "parent_node_id": "node_1006",
      "improvement_over_parent": null
    },
    "node_1008": {
      "node_id": "node_1008",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 471.42 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.4171954385235,
      "fos_buckling": 0.9983971156167516,
      "fos_yielding": 12.496587257218964,
      "deflection": 0.007455120915870855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1007",
      "improvement_over_parent": null
    },
    "node_1009": {
      "node_id": "node_1009",
      "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 481.95 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.94670822812316,
      "fos_buckling": 0.9977348948957496,
      "fos_yielding": 12.48829847223141,
      "deflection": 0.00746006991860732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.312)"
      },
      "parent_node_id": "node_1008",
      "improvement_over_parent": null
    },
    "node_1010": {
      "node_id": "node_1010",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.08 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0793611207438,
      "fos_buckling": 1.5372291662448418,
      "fos_yielding": 14.26394999950304,
      "deflection": 0.005956209613046055,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1009",
      "improvement_over_parent": null
    },
    "node_1011": {
      "node_id": "node_1011",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1010",
      "improvement_over_parent": null
    },
    "node_1012": {
      "node_id": "node_1012",
      "content": "INITIAL DESIGN (Trace 152)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n\nPerformance:\n  Mass: 275.07 kg\n  Factor of Safety: 0.46\n  Max Deflection: 2.33e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 275.0719677603725,
      "fos_buckling": 0.46430905214956336,
      "fos_yielding": 3.738899802825497,
      "deflection": 0.02329961310483346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1013": {
      "node_id": "node_1013",
      "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n\nPerformance:\n  Mass: 286.57 kg\n  Factor of Safety: 0.46\n  Max Deflection: 2.20e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 286.568726641945,
      "fos_buckling": 0.4643090521495638,
      "fos_yielding": 3.7388998028255003,
      "deflection": 0.021989497848191847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.333)"
      },
      "parent_node_id": "node_1012",
      "improvement_over_parent": null
    },
    "node_1014": {
      "node_id": "node_1014",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 349.56 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 349.5585347594074,
      "fos_buckling": 0.4710007202546279,
      "fos_yielding": 5.40120642952189,
      "deflection": 0.014505784179179904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007980)"
      },
      "parent_node_id": "node_1013",
      "improvement_over_parent": null
    },
    "node_1015": {
      "node_id": "node_1015",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 418.42 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.4165707672418,
      "fos_buckling": 0.5469347465074672,
      "fos_yielding": 6.423200519338489,
      "deflection": 0.01216890906371956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1014",
      "improvement_over_parent": null
    },
    "node_1016": {
      "node_id": "node_1016",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 462.59 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.5851120326464,
      "fos_buckling": 0.5928071509785258,
      "fos_yielding": 7.071795710318924,
      "deflection": 0.011036190625976425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1015",
      "improvement_over_parent": null
    },
    "node_1017": {
      "node_id": "node_1017",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9803444660079,
      "fos_buckling": 1.536915687302826,
      "fos_yielding": 14.265055936677957,
      "deflection": 0.005956873780285685,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1016",
      "improvement_over_parent": null
    },
    "node_1018": {
      "node_id": "node_1018",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1017",
      "improvement_over_parent": null
    },
    "node_1019": {
      "node_id": "node_1019",
      "content": "INITIAL DESIGN (Trace 153)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 337.73 kg\n  Factor of Safety: 0.64\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": 337.72590810454847,
      "fos_buckling": 0.6357224970748765,
      "fos_yielding": 7.852282485351176,
      "deflection": 0.010989257533222264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1020": {
      "node_id": "node_1020",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 373.62 kg\n  Factor of Safety: 0.70\n  Max Deflection: 9.95e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.62453744964364,
      "fos_buckling": 0.6951702786891484,
      "fos_yielding": 8.678747492674738,
      "deflection": 0.009951718628425473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1019",
      "improvement_over_parent": null
    },
    "node_1021": {
      "node_id": "node_1021",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 376.11 kg\n  Factor of Safety: 0.69\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.1119777101643,
      "fos_buckling": 0.6949509796694514,
      "fos_yielding": 8.676009687455373,
      "deflection": 0.009918276247844608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.335)"
      },
      "parent_node_id": "node_1020",
      "improvement_over_parent": null
    },
    "node_1022": {
      "node_id": "node_1022",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 389.14 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.19e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 389.13842401275576,
      "fos_buckling": 0.8382331889382284,
      "fos_yielding": 10.142280842715417,
      "deflection": 0.009186831431905284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.258)"
      },
      "parent_node_id": "node_1021",
      "improvement_over_parent": null
    },
    "node_1023": {
      "node_id": "node_1023",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 440.88 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.33e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.8796951710242,
      "fos_buckling": 1.2921729187173843,
      "fos_yielding": 11.490744509980757,
      "deflection": 0.007330660191227527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007511)"
      },
      "parent_node_id": "node_1022",
      "improvement_over_parent": null
    },
    "node_1024": {
      "node_id": "node_1024",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4813006090105,
      "fos_buckling": 1.537924436372871,
      "fos_yielding": 14.275374514460507,
      "deflection": 0.005951832258829251,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1023",
      "improvement_over_parent": null
    },
    "node_1025": {
      "node_id": "node_1025",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1024",
      "improvement_over_parent": null
    },
    "node_1026": {
      "node_id": "node_1026",
      "content": "INITIAL DESIGN (Trace 154)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 409.95 kg\n  Factor of Safety: 1.08\n  Max Deflection: 7.87e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 409.95149577426787,
      "fos_buckling": 1.080014369855345,
      "fos_yielding": 11.241975809402962,
      "deflection": 0.007865879287135401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1027": {
      "node_id": "node_1027",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 411.03 kg\n  Factor of Safety: 1.08\n  Max Deflection: 7.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.0259464518374,
      "fos_buckling": 1.0808835369555918,
      "fos_yielding": 11.251023055243415,
      "deflection": 0.007838336301823552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.181)"
      },
      "parent_node_id": "node_1026",
      "improvement_over_parent": null
    },
    "node_1028": {
      "node_id": "node_1028",
      "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 413.47 kg\n  Factor of Safety: 1.16\n  Max Deflection: 7.77e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 413.4691850792865,
      "fos_buckling": 1.1585549299689133,
      "fos_yielding": 11.295037567522039,
      "deflection": 0.00776977558132608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.524)"
      },
      "parent_node_id": "node_1027",
      "improvement_over_parent": null
    },
    "node_1029": {
      "node_id": "node_1029",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 536.47 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 536.4681659081947,
      "fos_buckling": 1.4498116183176448,
      "fos_yielding": 14.685425423317191,
      "deflection": 0.006033087162353148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1028",
      "improvement_over_parent": null
    },
    "node_1030": {
      "node_id": "node_1030",
      "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.47 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4748714421077,
      "fos_buckling": 1.5380995925722607,
      "fos_yielding": 14.274367602153333,
      "deflection": 0.0059520268807567505,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.292)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 155)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n\nPerformance:\n  Mass: 354.93 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.28e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.9325065415623,
      "fos_buckling": 0.8071411801106206,
      "fos_yielding": 9.74342893114113,
      "deflection": 0.009280099056369123,
      "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 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 393.82 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.38e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 393.81988791356366,
      "fos_buckling": 0.8879032055401532,
      "fos_yielding": 10.807674560876206,
      "deflection": 0.008380711492879932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1032",
      "improvement_over_parent": null
    },
    "node_1034": {
      "node_id": "node_1034",
      "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 418.64 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.61e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.63520139557596,
      "fos_buckling": 1.2124169152075421,
      "fos_yielding": 11.935394851794772,
      "deflection": 0.007610713579746215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.639)"
      },
      "parent_node_id": "node_1033",
      "improvement_over_parent": null
    },
    "node_1035": {
      "node_id": "node_1035",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 525.78 kg\n  Factor of Safety: 1.46\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": 525.7789056457985,
      "fos_buckling": 1.459916930574739,
      "fos_yielding": 15.00513036925037,
      "deflection": 0.006100302718754002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1034",
      "improvement_over_parent": null
    },
    "node_1036": {
      "node_id": "node_1036",
      "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 536.37 kg\n  Factor of Safety: 1.50\n  Max Deflection: 6.02e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 536.3689490324925,
      "fos_buckling": 1.5010791760707325,
      "fos_yielding": 14.585502101552812,
      "deflection": 0.0060215347317321,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.314)"
      },
      "parent_node_id": "node_1035",
      "improvement_over_parent": null
    },
    "node_1037": {
      "node_id": "node_1037",
      "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2438112251104,
      "fos_buckling": 1.5375527946301095,
      "fos_yielding": 14.269417135847904,
      "deflection": 0.005954297204861506,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.200)"
      },
      "parent_node_id": "node_1036",
      "improvement_over_parent": null
    },
    "node_1038": {
      "node_id": "node_1038",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1037",
      "improvement_over_parent": null
    },
    "node_1039": {
      "node_id": "node_1039",
      "content": "INITIAL DESIGN (Trace 156)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 264.03 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.72e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.0339823590952,
      "fos_buckling": 0.22307741158634445,
      "fos_yielding": 1.8089464768574308,
      "deflection": 37188151531695.15,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1040": {
      "node_id": "node_1040",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 331.86 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.25e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 331.8560079138622,
      "fos_buckling": 0.5930200683150197,
      "fos_yielding": 6.709525464690006,
      "deflection": 52450239851893.38,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_1039",
      "improvement_over_parent": null
    },
    "node_1041": {
      "node_id": "node_1041",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 415.25 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.07e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.25124034722364,
      "fos_buckling": 0.35961920284439164,
      "fos_yielding": 4.068790127004975,
      "deflection": 106657208835334.92,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1040",
      "improvement_over_parent": null
    },
    "node_1042": {
      "node_id": "node_1042",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.85 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8540048077266,
      "fos_buckling": 0.5930897887570417,
      "fos_yielding": 7.074832632376063,
      "deflection": 0.011030745058232155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1041",
      "improvement_over_parent": null
    },
    "node_1043": {
      "node_id": "node_1043",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.249237241088,
      "fos_buckling": 1.5376430015744813,
      "fos_yielding": 14.268821260313413,
      "deflection": 0.0059543600186709655,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1042",
      "improvement_over_parent": null
    },
    "node_1044": {
      "node_id": "node_1044",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1043",
      "improvement_over_parent": null
    },
    "node_1045": {
      "node_id": "node_1045",
      "content": "INITIAL DESIGN (Trace 157)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 402.36 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.36160173895155,
      "fos_buckling": 0.8403297901912448,
      "fos_yielding": 10.17046960377898,
      "deflection": 0.00917853742598401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1046": {
      "node_id": "node_1046",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n\nPerformance:\n  Mass: 440.92 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.38e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.9162465232049,
      "fos_buckling": 1.2578240343306935,
      "fos_yielding": 10.015826013128837,
      "deflection": 0.007377510801148877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006900)"
      },
      "parent_node_id": "node_1045",
      "improvement_over_parent": null
    },
    "node_1047": {
      "node_id": "node_1047",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n\nPerformance:\n  Mass: 494.06 kg\n  Factor of Safety: 1.39\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": 494.0559691954189,
      "fos_buckling": 1.392549531491027,
      "fos_yielding": 11.250675751441594,
      "deflection": 0.0066043261553299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1046",
      "improvement_over_parent": null
    },
    "node_1048": {
      "node_id": "node_1048",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0058)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n\nPerformance:\n  Mass: 495.54 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 495.5421186912578,
      "fos_buckling": 1.3843579537434125,
      "fos_yielding": 11.184494417817893,
      "deflection": 0.006584454089808749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.188)"
      },
      "parent_node_id": "node_1047",
      "improvement_over_parent": null
    },
    "node_1049": {
      "node_id": "node_1049",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0064)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.59 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.00e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.5920943093138,
      "fos_buckling": 1.5068270754871302,
      "fos_yielding": 12.3440202066161,
      "deflection": 0.0059976012493627865,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_1048",
      "improvement_over_parent": null
    },
    "node_1050": {
      "node_id": "node_1050",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1049",
      "improvement_over_parent": null
    },
    "node_1051": {
      "node_id": "node_1051",
      "content": "INITIAL DESIGN (Trace 158)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 280.77 kg\n  Factor of Safety: 0.37\n  Max Deflection: 4.78e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 280.7707392256608,
      "fos_buckling": 0.37011148135217586,
      "fos_yielding": 3.6639646228643894,
      "deflection": 0.04784773116239438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1052": {
      "node_id": "node_1052",
      "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 297.01 kg\n  Factor of Safety: 0.37\n  Max Deflection: 4.78e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 297.0134117760164,
      "fos_buckling": 0.37011148135217614,
      "fos_yielding": 3.667880993564551,
      "deflection": 0.047848551438982055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.656)"
      },
      "parent_node_id": "node_1051",
      "improvement_over_parent": null
    },
    "node_1053": {
      "node_id": "node_1053",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 306.94 kg\n  Factor of Safety: 0.37\n  Max Deflection: 4.65e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 306.93756058117106,
      "fos_buckling": 0.37011148135217575,
      "fos_yielding": 3.6702779892857813,
      "deflection": 0.04648719192006802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.309)"
      },
      "parent_node_id": "node_1052",
      "improvement_over_parent": null
    },
    "node_1054": {
      "node_id": "node_1054",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n\nPerformance:\n  Mass: 315.84 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.83857813113934,
      "fos_buckling": 0.433987344858696,
      "fos_yielding": 4.923292864750197,
      "deflection": 0.01598786448342803,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004181)"
      },
      "parent_node_id": "node_1053",
      "improvement_over_parent": null
    },
    "node_1055": {
      "node_id": "node_1055",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n\nPerformance:\n  Mass: 357.69 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 357.6909894381404,
      "fos_buckling": 0.48257541473063303,
      "fos_yielding": 5.553238861950523,
      "deflection": 0.014153356107263867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_1054",
      "improvement_over_parent": null
    },
    "node_1056": {
      "node_id": "node_1056",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 460.06 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.0624154910706,
      "fos_buckling": 0.5928817093378749,
      "fos_yielding": 7.072882815995964,
      "deflection": 0.011072816105445308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_1055",
      "improvement_over_parent": null
    },
    "node_1057": {
      "node_id": "node_1057",
      "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0135)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 483.89 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 483.8873109283895,
      "fos_buckling": 0.5919921738183614,
      "fos_yielding": 7.041618778448551,
      "deflection": 0.01020781277465007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.427)"
      },
      "parent_node_id": "node_1056",
      "improvement_over_parent": null
    },
    "node_1058": {
      "node_id": "node_1058",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0135)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 567.28 kg\n  Factor of Safety: 1.34\n  Max Deflection: 5.89e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 567.282543361751,
      "fos_buckling": 1.3395513240041157,
      "fos_yielding": 13.984821056016363,
      "deflection": 0.005892545702548781,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1057",
      "improvement_over_parent": null
    },
    "node_1059": {
      "node_id": "node_1059",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1058",
      "improvement_over_parent": null
    },
    "node_1060": {
      "node_id": "node_1060",
      "content": "INITIAL DESIGN (Trace 159)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 330.66 kg\n  Factor of Safety: 0.33\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": 330.6551864062081,
      "fos_buckling": 0.3345311669848686,
      "fos_yielding": 4.990091808207655,
      "deflection": 0.016576979362025797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1061": {
      "node_id": "node_1061",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 397.39 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.394078013352,
      "fos_buckling": 0.39572480372553587,
      "fos_yielding": 6.010271659451839,
      "deflection": 0.013826032984749752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_1060",
      "improvement_over_parent": null
    },
    "node_1062": {
      "node_id": "node_1062",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 445.00 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.99684247385494,
      "fos_buckling": 0.39453540144522636,
      "fos_yielding": 5.992207007578288,
      "deflection": 0.012656660558840828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1061",
      "improvement_over_parent": null
    },
    "node_1063": {
      "node_id": "node_1063",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 509.19 kg\n  Factor of Safety: 1.13\n  Max Deflection: 6.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 509.1872857309164,
      "fos_buckling": 1.1324384954854008,
      "fos_yielding": 14.441936541526108,
      "deflection": 0.006457006322042491,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008143)"
      },
      "parent_node_id": "node_1062",
      "improvement_over_parent": null
    },
    "node_1064": {
      "node_id": "node_1064",
      "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 528.37 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.3703750662957,
      "fos_buckling": 1.2587716105148476,
      "fos_yielding": 15.17610714199764,
      "deflection": 0.006127445697064449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.328)"
      },
      "parent_node_id": "node_1063",
      "improvement_over_parent": null
    },
    "node_1065": {
      "node_id": "node_1065",
      "content": "MODIFICATION: Increase 3 thickness by 67%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0090)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.83 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.8257492133231,
      "fos_buckling": 1.2611311497485436,
      "fos_yielding": 14.928843726433163,
      "deflection": 0.006079114197236216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.667)"
      },
      "parent_node_id": "node_1064",
      "improvement_over_parent": null
    },
    "node_1066": {
      "node_id": "node_1066",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1065",
      "improvement_over_parent": null
    },
    "node_1067": {
      "node_id": "node_1067",
      "content": "INITIAL DESIGN (Trace 160)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_1068": {
      "node_id": "node_1068",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 418.01 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.16e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.012783937274,
      "fos_buckling": 1.0020839613303012,
      "fos_yielding": 12.543758928564912,
      "deflection": 0.009161717940862844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1067",
      "improvement_over_parent": null
    },
    "node_1069": {
      "node_id": "node_1069",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 482.15 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.1454368298946,
      "fos_buckling": 0.9980356945979698,
      "fos_yielding": 12.493084051081107,
      "deflection": 0.0074572612338921,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1068",
      "improvement_over_parent": null
    },
    "node_1070": {
      "node_id": "node_1070",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2780897225152,
      "fos_buckling": 1.5376965451729245,
      "fos_yielding": 14.269895203680269,
      "deflection": 0.005954044538855969,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1069",
      "improvement_over_parent": null
    },
    "node_1071": {
      "node_id": "node_1071",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1070",
      "improvement_over_parent": null
    },
    "node_1072": {
      "node_id": "node_1072",
      "content": "INITIAL DESIGN (Trace 161)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0024)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0016)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n\nPerformance:\n  Mass: 226.71 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.71050343410099,
      "fos_buckling": 0.6400475646682671,
      "fos_yielding": 6.422144184022215,
      "deflection": 0.014023559135048456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1073": {
      "node_id": "node_1073",
      "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0024)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n\nPerformance:\n  Mass: 227.74 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.74485857788187,
      "fos_buckling": 0.6245120520132686,
      "fos_yielding": 6.350984690663721,
      "deflection": 0.013946295317318901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.346)"
      },
      "parent_node_id": "node_1072",
      "improvement_over_parent": null
    },
    "node_1074": {
      "node_id": "node_1074",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 291.94 kg\n  Factor of Safety: 0.79\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": 291.94001464008886,
      "fos_buckling": 0.7880077997267164,
      "fos_yielding": 8.150102572516516,
      "deflection": 0.010922121943810778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1073",
      "improvement_over_parent": null
    },
    "node_1075": {
      "node_id": "node_1075",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 374.40 kg\n  Factor of Safety: 0.99\n  Max Deflection: 8.56e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.40376149283986,
      "fos_buckling": 0.9900515471059497,
      "fos_yielding": 10.466516904996697,
      "deflection": 0.00855905986742978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1074",
      "improvement_over_parent": null
    },
    "node_1076": {
      "node_id": "node_1076",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 467.55 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.5472881163334,
      "fos_buckling": 1.2075525380137027,
      "fos_yielding": 13.08960461204061,
      "deflection": 0.006892460222725002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1075",
      "improvement_over_parent": null
    },
    "node_1077": {
      "node_id": "node_1077",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 480.10 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.75e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.09625077732824,
      "fos_buckling": 1.3864445190590176,
      "fos_yielding": 12.523656432163651,
      "deflection": 0.006747819755357812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.464)"
      },
      "parent_node_id": "node_1076",
      "improvement_over_parent": null
    },
    "node_1078": {
      "node_id": "node_1078",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.22 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.97e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.2180269325207,
      "fos_buckling": 1.535354525803786,
      "fos_yielding": 14.242297653712244,
      "deflection": 0.005965177279893298,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 162)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 336.31 kg\n  Factor of Safety: 0.06\n  Max Deflection: 2.09e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 336.31464671742856,
      "fos_buckling": 0.055305252612515565,
      "fos_yielding": 0.8684495572162588,
      "deflection": 208797447664656.72,
      "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: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 343.61 kg\n  Factor of Safety: 0.15\n  Max Deflection: 5.66e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 343.6129148275228,
      "fos_buckling": 0.14748067363337486,
      "fos_yielding": 2.182701359326424,
      "deflection": 56582909935980.31,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.199)"
      },
      "parent_node_id": "node_1080",
      "improvement_over_parent": null
    },
    "node_1082": {
      "node_id": "node_1082",
      "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 346.95 kg\n  Factor of Safety: 0.15\n  Max Deflection: 5.66e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 346.95405224405715,
      "fos_buckling": 0.14748067363337486,
      "fos_yielding": 2.182701359326424,
      "deflection": 56582909935980.31,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.582)"
      },
      "parent_node_id": "node_1081",
      "improvement_over_parent": null
    },
    "node_1083": {
      "node_id": "node_1083",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 411.09 kg\n  Factor of Safety: 0.35\n  Max Deflection: 3.77e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.0867051366778,
      "fos_buckling": 0.3472720521085273,
      "fos_yielding": 4.327298659103801,
      "deflection": 0.037686774388488116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1082",
      "improvement_over_parent": null
    },
    "node_1084": {
      "node_id": "node_1084",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 424.06 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.05622464623264,
      "fos_buckling": 0.5013846072948333,
      "fos_yielding": 7.098521924448016,
      "deflection": 0.012202074966251397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1083",
      "improvement_over_parent": null
    },
    "node_1085": {
      "node_id": "node_1085",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 432.80 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 432.7968996796161,
      "fos_buckling": 0.5941549007486207,
      "fos_yielding": 7.086937848784963,
      "deflection": 0.011601786024993604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.247)"
      },
      "parent_node_id": "node_1084",
      "improvement_over_parent": null
    },
    "node_1086": {
      "node_id": "node_1086",
      "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0102)]\n\nPerformance:\n  Mass: 439.63 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 439.6330709655564,
      "fos_buckling": 0.5936420329387261,
      "fos_yielding": 7.080912816098652,
      "deflection": 0.01113043104751624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.618)"
      },
      "parent_node_id": "node_1085",
      "improvement_over_parent": null
    },
    "node_1087": {
      "node_id": "node_1087",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0102)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 523.03 kg\n  Factor of Safety: 1.20\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 523.0283033989178,
      "fos_buckling": 1.196906397356429,
      "fos_yielding": 14.914449397542105,
      "deflection": 0.006329096262388211,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 163)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 437.97 kg\n  Factor of Safety: 1.16\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": 437.96565531298626,
      "fos_buckling": 1.1593121749359283,
      "fos_yielding": 11.776270026477722,
      "deflection": 0.007583297346266832,
      "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: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 448.38 kg\n  Factor of Safety: 1.10\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.3798991043695,
      "fos_buckling": 1.0974906486831906,
      "fos_yielding": 11.491354748462024,
      "deflection": 0.007469877535937014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.244)"
      },
      "parent_node_id": "node_1089",
      "improvement_over_parent": null
    },
    "node_1091": {
      "node_id": "node_1091",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 507.92 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.61e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 507.9202343555012,
      "fos_buckling": 1.2191955518990087,
      "fos_yielding": 13.033121386632356,
      "deflection": 0.006614771041289748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_1090",
      "improvement_over_parent": null
    },
    "node_1092": {
      "node_id": "node_1092",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 524.33 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.38e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.3329548063457,
      "fos_buckling": 1.21295766568481,
      "fos_yielding": 13.112795190666665,
      "deflection": 0.006375089121307073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.269)"
      },
      "parent_node_id": "node_1091",
      "improvement_over_parent": null
    },
    "node_1093": {
      "node_id": "node_1093",
      "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.77 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.7731896947013,
      "fos_buckling": 1.3677183995466442,
      "fos_yielding": 14.470937385344518,
      "deflection": 0.005997614971459322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.502)"
      },
      "parent_node_id": "node_1092",
      "improvement_over_parent": null
    },
    "node_1094": {
      "node_id": "node_1094",
      "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2550995738005,
      "fos_buckling": 1.5373255700354864,
      "fos_yielding": 14.268760589770729,
      "deflection": 0.00595426697221532,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.381)"
      },
      "parent_node_id": "node_1093",
      "improvement_over_parent": null
    },
    "node_1095": {
      "node_id": "node_1095",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1094",
      "improvement_over_parent": null
    },
    "node_1096": {
      "node_id": "node_1096",
      "content": "INITIAL DESIGN (Trace 164)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 224.60 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.6034525027024,
      "fos_buckling": 0.2708562129441115,
      "fos_yielding": 3.969227922476101,
      "deflection": 0.02288090662546468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1097": {
      "node_id": "node_1097",
      "content": "MODIFICATION: Increase 3 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 233.99 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.9941409369641,
      "fos_buckling": 0.38917033902876447,
      "fos_yielding": 4.358428510336961,
      "deflection": 0.020749936076946633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.511)"
      },
      "parent_node_id": "node_1096",
      "improvement_over_parent": null
    },
    "node_1098": {
      "node_id": "node_1098",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 283.88 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 283.8763432379968,
      "fos_buckling": 0.46034007463157545,
      "fos_yielding": 5.259210935168453,
      "deflection": 0.017154385345916234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1097",
      "improvement_over_parent": null
    },
    "node_1099": {
      "node_id": "node_1099",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 344.90 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.89943900594017,
      "fos_buckling": 0.772578322936164,
      "fos_yielding": 7.584580185817132,
      "deflection": 0.010711407218763682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007714)"
      },
      "parent_node_id": "node_1098",
      "improvement_over_parent": null
    },
    "node_1100": {
      "node_id": "node_1100",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 421.01 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.01156367298813,
      "fos_buckling": 0.9122548268436144,
      "fos_yielding": 9.23919336128165,
      "deflection": 0.008811014516370402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_1099",
      "improvement_over_parent": null
    },
    "node_1101": {
      "node_id": "node_1101",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 430.68 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.32e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.6765054348639,
      "fos_buckling": 0.9116976499578524,
      "fos_yielding": 11.190942865128017,
      "deflection": 0.008322414477140624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.230)"
      },
      "parent_node_id": "node_1100",
      "improvement_over_parent": null
    },
    "node_1102": {
      "node_id": "node_1102",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 487.92 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.64e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 487.91967769070357,
      "fos_buckling": 1.4046207747247081,
      "fos_yielding": 12.731738710296582,
      "deflection": 0.006642750731218386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008378)"
      },
      "parent_node_id": "node_1101",
      "improvement_over_parent": null
    },
    "node_1103": {
      "node_id": "node_1103",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.97 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.9671295614617,
      "fos_buckling": 1.5390311454990162,
      "fos_yielding": 14.290582234022743,
      "deflection": 0.005946723015672733,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1102",
      "improvement_over_parent": null
    },
    "node_1104": {
      "node_id": "node_1104",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1103",
      "improvement_over_parent": null
    },
    "node_1105": {
      "node_id": "node_1105",
      "content": "INITIAL DESIGN (Trace 165)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 268.72 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 268.71886945688533,
      "fos_buckling": 0.4614269489112389,
      "fos_yielding": 5.272920059866729,
      "deflection": 0.017708540817772987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1106": {
      "node_id": "node_1106",
      "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 276.31 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 276.3052935335476,
      "fos_buckling": 0.4612035673692373,
      "fos_yielding": 5.270396056559353,
      "deflection": 0.017716165234392428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.214)"
      },
      "parent_node_id": "node_1105",
      "improvement_over_parent": null
    },
    "node_1107": {
      "node_id": "node_1107",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 292.47 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.65e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 292.4746027369428,
      "fos_buckling": 0.46072818457380244,
      "fos_yielding": 5.2650245824610336,
      "deflection": 0.016524761662772405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.383)"
      },
      "parent_node_id": "node_1106",
      "improvement_over_parent": null
    },
    "node_1108": {
      "node_id": "node_1108",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 351.05 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.0481285915647,
      "fos_buckling": 0.5370518197641075,
      "fos_yielding": 6.28251786325615,
      "deflection": 0.013817558017827539,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_1107",
      "improvement_over_parent": null
    },
    "node_1109": {
      "node_id": "node_1109",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 398.66 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.65586235017963,
      "fos_buckling": 0.5952637495928595,
      "fos_yielding": 7.100804273246725,
      "deflection": 0.012203246675410182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_1108",
      "improvement_over_parent": null
    },
    "node_1110": {
      "node_id": "node_1110",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.05 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.0510947835411,
      "fos_buckling": 0.9981140860390939,
      "fos_yielding": 12.487968769098,
      "deflection": 0.007458252121208163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1109",
      "improvement_over_parent": null
    },
    "node_1111": {
      "node_id": "node_1111",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1837476761617,
      "fos_buckling": 1.5374081446637915,
      "fos_yielding": 14.266701838589169,
      "deflection": 0.0059549228034274275,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1110",
      "improvement_over_parent": null
    },
    "node_1112": {
      "node_id": "node_1112",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1111",
      "improvement_over_parent": null
    },
    "node_1113": {
      "node_id": "node_1113",
      "content": "INITIAL DESIGN (Trace 166)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 293.93 kg\n  Factor of Safety: 0.64\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 293.93190858797834,
      "fos_buckling": 0.6392943882337091,
      "fos_yielding": 7.450829448856722,
      "deflection": 0.012502551380877757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n\nPerformance:\n  Mass: 321.99 kg\n  Factor of Safety: 0.99\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": 321.9882855877095,
      "fos_buckling": 0.9867494035709015,
      "fos_yielding": 8.37068941632743,
      "deflection": 0.009965444911214427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004921)"
      },
      "parent_node_id": "node_1113",
      "improvement_over_parent": null
    },
    "node_1115": {
      "node_id": "node_1115",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 411.47 kg\n  Factor of Safety: 1.22\n  Max Deflection: 7.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.46643633428545,
      "fos_buckling": 1.219639539795383,
      "fos_yielding": 10.717344061006298,
      "deflection": 0.007840816606457506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_1114",
      "improvement_over_parent": null
    },
    "node_1116": {
      "node_id": "node_1116",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 457.61 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 457.6095513027829,
      "fos_buckling": 1.3329096455626697,
      "fos_yielding": 11.931012759417035,
      "deflection": 0.007069881431460336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_1115",
      "improvement_over_parent": null
    },
    "node_1117": {
      "node_id": "node_1117",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.77 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.7665802043517,
      "fos_buckling": 1.5387818120449617,
      "fos_yielding": 14.282861084684871,
      "deflection": 0.005948898521553139,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1116",
      "improvement_over_parent": null
    },
    "node_1118": {
      "node_id": "node_1118",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1117",
      "improvement_over_parent": null
    },
    "node_1119": {
      "node_id": "node_1119",
      "content": "INITIAL DESIGN (Trace 167)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0035)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 260.11 kg\n  Factor of Safety: 0.12\n  Max Deflection: 2.01e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.1127148181311,
      "fos_buckling": 0.11812030910640164,
      "fos_yielding": 1.1121519377046152,
      "deflection": 201475896321377.62,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1120": {
      "node_id": "node_1120",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 314.62 kg\n  Factor of Safety: 0.16\n  Max Deflection: 4.39e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 314.61955571629915,
      "fos_buckling": 0.15512459309947396,
      "fos_yielding": 2.3158654859100234,
      "deflection": 43894597465898.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1119",
      "improvement_over_parent": null
    },
    "node_1121": {
      "node_id": "node_1121",
      "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 329.01 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.62e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 329.00943157179813,
      "fos_buckling": 1.0870403182396253,
      "fos_yielding": 3.4737982288650353,
      "deflection": 86205850965186.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.626)"
      },
      "parent_node_id": "node_1120",
      "improvement_over_parent": null
    },
    "node_1122": {
      "node_id": "node_1122",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n\nPerformance:\n  Mass: 339.66 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 339.6642778114278,
      "fos_buckling": 0.4493974687697826,
      "fos_yielding": 4.800192706594371,
      "deflection": 0.015061618640154662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005068)"
      },
      "parent_node_id": "node_1121",
      "improvement_over_parent": null
    },
    "node_1123": {
      "node_id": "node_1123",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 378.77 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.77371315837763,
      "fos_buckling": 0.44829697610026664,
      "fos_yielding": 4.78843790766252,
      "deflection": 0.013630377805218967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007007)"
      },
      "parent_node_id": "node_1122",
      "improvement_over_parent": null
    },
    "node_1124": {
      "node_id": "node_1124",
      "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 390.33 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.332547826491,
      "fos_buckling": 0.44797275547399906,
      "fos_yielding": 4.784974778486921,
      "deflection": 0.013565588886482367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.241)"
      },
      "parent_node_id": "node_1123",
      "improvement_over_parent": null
    },
    "node_1125": {
      "node_id": "node_1125",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0118)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 474.95 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 474.9530463263375,
      "fos_buckling": 0.5293465935003656,
      "fos_yielding": 5.801382933166817,
      "deflection": 0.011195174754311237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_1124",
      "improvement_over_parent": null
    },
    "node_1126": {
      "node_id": "node_1126",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0118)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 558.35 kg\n  Factor of Safety: 1.48\n  Max Deflection: 5.91e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 558.3482787596989,
      "fos_buckling": 1.4792852752098447,
      "fos_yielding": 14.07784830785547,
      "deflection": 0.005910185550268509,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1125",
      "improvement_over_parent": null
    },
    "node_1127": {
      "node_id": "node_1127",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1126",
      "improvement_over_parent": null
    },
    "node_1128": {
      "node_id": "node_1128",
      "content": "INITIAL DESIGN (Trace 168)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 311.11 kg\n  Factor of Safety: 0.49\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": 311.1054536615499,
      "fos_buckling": 0.4857218052810866,
      "fos_yielding": 5.591795480653814,
      "deflection": 0.016585225109109765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1129": {
      "node_id": "node_1129",
      "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 313.85 kg\n  Factor of Safety: 0.49\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": 313.85196685241823,
      "fos_buckling": 0.48555195148527625,
      "fos_yielding": 5.589863360216028,
      "deflection": 0.01625371656595669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.399)"
      },
      "parent_node_id": "node_1128",
      "improvement_over_parent": null
    },
    "node_1130": {
      "node_id": "node_1130",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 402.45 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.4476567046896,
      "fos_buckling": 0.5952289443037638,
      "fos_yielding": 7.100674974839672,
      "deflection": 0.012738845735117793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1129",
      "improvement_over_parent": null
    },
    "node_1131": {
      "node_id": "node_1131",
      "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 415.20 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.19879615273595,
      "fos_buckling": 0.5947488196385203,
      "fos_yielding": 7.09503401932832,
      "deflection": 0.012208595098004564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.285)"
      },
      "parent_node_id": "node_1130",
      "improvement_over_parent": null
    },
    "node_1132": {
      "node_id": "node_1132",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.59 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.5940285860974,
      "fos_buckling": 0.9968441729236619,
      "fos_yielding": 12.476674556557365,
      "deflection": 0.00746422126271715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1131",
      "improvement_over_parent": null
    },
    "node_1133": {
      "node_id": "node_1133",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1967930466004,
      "fos_buckling": 1.5375666375042125,
      "fos_yielding": 14.271502575245623,
      "deflection": 0.0059548685481398845,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1132",
      "improvement_over_parent": null
    },
    "node_1134": {
      "node_id": "node_1134",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1133",
      "improvement_over_parent": null
    },
    "node_1135": {
      "node_id": "node_1135",
      "content": "INITIAL DESIGN (Trace 169)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0015)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 218.78 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.49e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.78157128050293,
      "fos_buckling": 0.5277011719580984,
      "fos_yielding": 3.9145809996180416,
      "deflection": 0.01490329021811758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1136": {
      "node_id": "node_1136",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0019)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 276.64 kg\n  Factor of Safety: 0.66\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": 276.6434020584596,
      "fos_buckling": 0.6625008130889504,
      "fos_yielding": 4.969803672497688,
      "deflection": 0.011823331890184823,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_1135",
      "improvement_over_parent": null
    },
    "node_1137": {
      "node_id": "node_1137",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 312.20 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 312.203789646154,
      "fos_buckling": 0.7443354579968909,
      "fos_yielding": 5.622772996300085,
      "deflection": 0.010496851301584119,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1136",
      "improvement_over_parent": null
    },
    "node_1138": {
      "node_id": "node_1138",
      "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 314.84 kg\n  Factor of Safety: 0.97\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": 314.84025898622286,
      "fos_buckling": 0.9673912982147432,
      "fos_yielding": 8.184789805360086,
      "deflection": 0.010187205305250214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.572)"
      },
      "parent_node_id": "node_1137",
      "improvement_over_parent": null
    },
    "node_1139": {
      "node_id": "node_1139",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 383.53 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.40e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.52867063030806,
      "fos_buckling": 1.1488169580806218,
      "fos_yielding": 9.985101369667946,
      "deflection": 0.00839769952739577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1138",
      "improvement_over_parent": null
    },
    "node_1140": {
      "node_id": "node_1140",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 430.34 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.51e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.34484446911904,
      "fos_buckling": 1.26654825128508,
      "fos_yielding": 11.215178241195366,
      "deflection": 0.007505382460362817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1139",
      "improvement_over_parent": null
    },
    "node_1141": {
      "node_id": "node_1141",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 476.04 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.80e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 476.0416856045308,
      "fos_buckling": 1.3768786959892818,
      "fos_yielding": 12.418224212347242,
      "deflection": 0.006803664958922206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_1140",
      "improvement_over_parent": null
    },
    "node_1142": {
      "node_id": "node_1142",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 547.09 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 547.0925460442977,
      "fos_buckling": 1.5395139125091735,
      "fos_yielding": 14.293441390675275,
      "deflection": 0.005945439745014363,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 170)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0047)]\n\nPerformance:\n  Mass: 210.38 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.380897875157,
      "fos_buckling": 0.5103185112820264,
      "fos_yielding": 5.8189815194325645,
      "deflection": 0.01958663189301329,
      "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: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n\nPerformance:\n  Mass: 261.14 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.14072262851175,
      "fos_buckling": 0.619926569423797,
      "fos_yielding": 7.199293613014496,
      "deflection": 0.015810491715574693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1144",
      "improvement_over_parent": null
    },
    "node_1146": {
      "node_id": "node_1146",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 340.27 kg\n  Factor of Safety: 0.78\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": 340.2690438173444,
      "fos_buckling": 0.7805375159744704,
      "fos_yielding": 9.332931107194325,
      "deflection": 0.012171170684714435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1145",
      "improvement_over_parent": null
    },
    "node_1147": {
      "node_id": "node_1147",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 387.74 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.7437425831472,
      "fos_buckling": 0.7872663766516762,
      "fos_yielding": 9.41338847387435,
      "deflection": 0.012171170684714431,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006849)"
      },
      "parent_node_id": "node_1146",
      "improvement_over_parent": null
    },
    "node_1148": {
      "node_id": "node_1148",
      "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 394.66 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.66476410431545,
      "fos_buckling": 0.787151022938815,
      "fos_yielding": 9.412009183022782,
      "deflection": 0.012176575291580252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.261)"
      },
      "parent_node_id": "node_1147",
      "improvement_over_parent": null
    },
    "node_1149": {
      "node_id": "node_1149",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n\nPerformance:\n  Mass: 404.27 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.98e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.26542958548487,
      "fos_buckling": 1.2015217080235985,
      "fos_yielding": 10.530498494569793,
      "deflection": 0.007977047675962726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004532)"
      },
      "parent_node_id": "node_1148",
      "improvement_over_parent": null
    },
    "node_1150": {
      "node_id": "node_1150",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n\nPerformance:\n  Mass: 453.39 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.13e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 453.39096112198644,
      "fos_buckling": 1.322720492454556,
      "fos_yielding": 11.82255785301256,
      "deflection": 0.007133886562367747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1149",
      "improvement_over_parent": null
    },
    "node_1151": {
      "node_id": "node_1151",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.282224998675,
      "fos_buckling": 1.5376833300087196,
      "fos_yielding": 14.273143605929457,
      "deflection": 0.005954033997645045,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 171)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 431.73 kg\n  Factor of Safety: 0.91\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": 431.7294147647955,
      "fos_buckling": 0.9084023333366611,
      "fos_yielding": 11.14767617375565,
      "deflection": 0.010135072934556804,
      "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 all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 485.95 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.9477569317272,
      "fos_buckling": 0.9990162338687973,
      "fos_yielding": 12.506469444033565,
      "deflection": 0.009018101684146339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_1153",
      "improvement_over_parent": null
    },
    "node_1155": {
      "node_id": "node_1155",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.92 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.91727644128207,
      "fos_buckling": 0.9973856096281722,
      "fos_yielding": 12.486056009748221,
      "deflection": 0.0074593028162427575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1154",
      "improvement_over_parent": null
    },
    "node_1156": {
      "node_id": "node_1156",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.520040901785,
      "fos_buckling": 1.5381758785597122,
      "fos_yielding": 14.271841980617856,
      "deflection": 0.005951510500221811,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1155",
      "improvement_over_parent": null
    },
    "node_1157": {
      "node_id": "node_1157",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1156",
      "improvement_over_parent": null
    },
    "node_1158": {
      "node_id": "node_1158",
      "content": "INITIAL DESIGN (Trace 172)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 352.13 kg\n  Factor of Safety: 0.96\n  Max Deflection: 9.48e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.1300965047917,
      "fos_buckling": 0.9605264686514436,
      "fos_yielding": 8.789422328301741,
      "deflection": 0.009483976747749534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1159": {
      "node_id": "node_1159",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 459.67 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.31e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 459.67022285524604,
      "fos_buckling": 1.2139195704996801,
      "fos_yielding": 11.500464715063732,
      "deflection": 0.007305824758452094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_1158",
      "improvement_over_parent": null
    },
    "node_1160": {
      "node_id": "node_1160",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 506.80 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 506.80499207123404,
      "fos_buckling": 1.3191902994077547,
      "fos_yielding": 12.693104553322561,
      "deflection": 0.0066423482568971105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_1159",
      "improvement_over_parent": null
    },
    "node_1161": {
      "node_id": "node_1161",
      "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 528.27 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.2662883268173,
      "fos_buckling": 1.3242693355710238,
      "fos_yielding": 13.630293761228764,
      "deflection": 0.006221152756681115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.582)"
      },
      "parent_node_id": "node_1160",
      "improvement_over_parent": null
    },
    "node_1162": {
      "node_id": "node_1162",
      "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.36 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3640281276424,
      "fos_buckling": 1.5377511557167272,
      "fos_yielding": 14.27245363090164,
      "deflection": 0.005953038193507398,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.304)"
      },
      "parent_node_id": "node_1161",
      "improvement_over_parent": null
    },
    "node_1163": {
      "node_id": "node_1163",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1162",
      "improvement_over_parent": null
    },
    "node_1164": {
      "node_id": "node_1164",
      "content": "INITIAL DESIGN (Trace 173)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 300.62 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.13e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 300.61583688747,
      "fos_buckling": 0.880332160853607,
      "fos_yielding": 7.235785907429725,
      "deflection": 11342973316439.61,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1165": {
      "node_id": "node_1165",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 342.16 kg\n  Factor of Safety: 6.58\n  Max Deflection: 1.21e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 342.15686762370444,
      "fos_buckling": 6.583071123104958,
      "fos_yielding": 17.84138794293978,
      "deflection": 12050151088148.184,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007479)"
      },
      "parent_node_id": "node_1164",
      "improvement_over_parent": null
    },
    "node_1166": {
      "node_id": "node_1166",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 383.70 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.6978983599389,
      "fos_buckling": 0.532080463462174,
      "fos_yielding": 6.217209029559467,
      "deflection": 0.012853237049001813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007479)"
      },
      "parent_node_id": "node_1165",
      "improvement_over_parent": null
    },
    "node_1167": {
      "node_id": "node_1167",
      "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 394.67 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.6747166465956,
      "fos_buckling": 0.5317105355696015,
      "fos_yielding": 6.2129437591173104,
      "deflection": 0.012587743765845231,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.276)"
      },
      "parent_node_id": "node_1166",
      "improvement_over_parent": null
    },
    "node_1168": {
      "node_id": "node_1168",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 452.28 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 452.279388480439,
      "fos_buckling": 0.5933653076151308,
      "fos_yielding": 7.078997539985123,
      "deflection": 0.011025697480794868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_1167",
      "improvement_over_parent": null
    },
    "node_1169": {
      "node_id": "node_1169",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.80 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.7967270615071,
      "fos_buckling": 0.5929717181812597,
      "fos_yielding": 7.0743727112917245,
      "deflection": 0.011031748589452476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.225)"
      },
      "parent_node_id": "node_1168",
      "improvement_over_parent": null
    },
    "node_1170": {
      "node_id": "node_1170",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.19 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1919594948686,
      "fos_buckling": 1.5374317612257322,
      "fos_yielding": 14.267855463396927,
      "deflection": 0.005954952605623585,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 174)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n\nPerformance:\n  Mass: 260.92 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.9207333626943,
      "fos_buckling": 0.3679891081295099,
      "fos_yielding": 3.106221210435377,
      "deflection": 0.020049712899050436,
      "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: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n\nPerformance:\n  Mass: 308.33 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 308.3254989318995,
      "fos_buckling": 0.7856125611795045,
      "fos_yielding": 5.961559509177508,
      "deflection": 0.010570677677857684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005905)"
      },
      "parent_node_id": "node_1172",
      "improvement_over_parent": null
    },
    "node_1174": {
      "node_id": "node_1174",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 343.94 kg\n  Factor of Safety: 0.87\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": 343.94060699038164,
      "fos_buckling": 0.8716257175389431,
      "fos_yielding": 6.665398016761075,
      "deflection": 0.009494856103446843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_1173",
      "improvement_over_parent": null
    },
    "node_1175": {
      "node_id": "node_1175",
      "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 346.35 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 346.3465063943287,
      "fos_buckling": 1.0518638685971065,
      "fos_yielding": 9.005043130020482,
      "deflection": 0.009278460328859803,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.437)"
      },
      "parent_node_id": "node_1174",
      "improvement_over_parent": null
    },
    "node_1176": {
      "node_id": "node_1176",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 443.62 kg\n  Factor of Safety: 1.30\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": 443.6190066257568,
      "fos_buckling": 1.2990213741138092,
      "fos_yielding": 11.558271709365105,
      "deflection": 0.007286792213395786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_1175",
      "improvement_over_parent": null
    },
    "node_1177": {
      "node_id": "node_1177",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.84 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8446505246006,
      "fos_buckling": 1.5367030435711768,
      "fos_yielding": 14.253059116029767,
      "deflection": 0.005958699100865407,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1176",
      "improvement_over_parent": null
    },
    "node_1178": {
      "node_id": "node_1178",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1177",
      "improvement_over_parent": null
    },
    "node_1179": {
      "node_id": "node_1179",
      "content": "INITIAL DESIGN (Trace 175)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_1180": {
      "node_id": "node_1180",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 315.35 kg\n  Factor of Safety: 0.15\n  Max Deflection: 4.26e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.3508915059566,
      "fos_buckling": 0.15464242025916417,
      "fos_yielding": 1.7496741039195112,
      "deflection": 42558051290817.695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1179",
      "improvement_over_parent": null
    },
    "node_1181": {
      "node_id": "node_1181",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 379.48 kg\n  Factor of Safety: 0.59\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": 379.48354439857724,
      "fos_buckling": 0.5877743479422259,
      "fos_yielding": 4.942003178240961,
      "deflection": 0.016697352886302225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1180",
      "improvement_over_parent": null
    },
    "node_1182": {
      "node_id": "node_1182",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 462.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8787768319387,
      "fos_buckling": 0.5930888805578486,
      "fos_yielding": 7.075369992038722,
      "deflection": 0.011030259682862711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1181",
      "improvement_over_parent": null
    },
    "node_1183": {
      "node_id": "node_1183",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2740092653002,
      "fos_buckling": 1.5376649520212504,
      "fos_yielding": 14.269704657158648,
      "deflection": 0.005954101413704511,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1182",
      "improvement_over_parent": null
    },
    "node_1184": {
      "node_id": "node_1184",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1183",
      "improvement_over_parent": null
    },
    "node_1185": {
      "node_id": "node_1185",
      "content": "INITIAL DESIGN (Trace 176)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 353.97 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.95e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 353.9695128683066,
      "fos_buckling": 0.6873239635692531,
      "fos_yielding": 11.62558146711466,
      "deflection": 29459485370347.164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1186": {
      "node_id": "node_1186",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 398.75 kg\n  Factor of Safety: 1.52\n  Max Deflection: 1.39e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 398.7474523275022,
      "fos_buckling": 1.5178079878685256,
      "fos_yielding": 10.90993856255395,
      "deflection": 13904139330703.342,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_1185",
      "improvement_over_parent": null
    },
    "node_1187": {
      "node_id": "node_1187",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8801052201228,
      "fos_buckling": 0.5930558947255048,
      "fos_yielding": 7.075390536159871,
      "deflection": 0.011030336577050142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2753376534843,
      "fos_buckling": 1.5376620795652678,
      "fos_yielding": 14.269900452224691,
      "deflection": 0.005954073618026429,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1187",
      "improvement_over_parent": null
    },
    "node_1189": {
      "node_id": "node_1189",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1188",
      "improvement_over_parent": null
    },
    "node_1190": {
      "node_id": "node_1190",
      "content": "INITIAL DESIGN (Trace 177)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 220.81 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.81349770293724,
      "fos_buckling": 0.7020604564164363,
      "fos_yielding": 5.728054830895803,
      "deflection": 0.014442038555692581,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1191": {
      "node_id": "node_1191",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 282.13 kg\n  Factor of Safety: 0.88\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": 282.1278996879409,
      "fos_buckling": 0.877316475673108,
      "fos_yielding": 7.328178762423646,
      "deflection": 0.011345820790788863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1190",
      "improvement_over_parent": null
    },
    "node_1192": {
      "node_id": "node_1192",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 368.87 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 368.8684454378549,
      "fos_buckling": 1.1109589197893865,
      "fos_yielding": 9.599022352298777,
      "deflection": 0.008723744864499328,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1191",
      "improvement_over_parent": null
    },
    "node_1193": {
      "node_id": "node_1193",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 428.70 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 428.7033859484366,
      "fos_buckling": 1.2624930436789583,
      "fos_yielding": 11.170404869359913,
      "deflection": 0.007533415633813832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_1192",
      "improvement_over_parent": null
    },
    "node_1194": {
      "node_id": "node_1194",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.4909273100259,
      "fos_buckling": 1.5359568710407832,
      "fos_yielding": 14.249111659013472,
      "deflection": 0.0059623558038172635,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_1193",
      "improvement_over_parent": null
    },
    "node_1195": {
      "node_id": "node_1195",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1194",
      "improvement_over_parent": null
    },
    "node_1196": {
      "node_id": "node_1196",
      "content": "INITIAL DESIGN (Trace 178)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n\nPerformance:\n  Mass: 257.86 kg\n  Factor of Safety: 0.81\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": 257.85907475990433,
      "fos_buckling": 0.8089556243520175,
      "fos_yielding": 6.694333501665426,
      "deflection": 0.012395268846022454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1197": {
      "node_id": "node_1197",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n\nPerformance:\n  Mass: 337.58 kg\n  Factor of Safety: 1.03\n  Max Deflection: 9.51e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 337.5829699237785,
      "fos_buckling": 1.028605783753889,
      "fos_yielding": 8.779005799223333,
      "deflection": 0.009514116560504757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1196",
      "improvement_over_parent": null
    },
    "node_1198": {
      "node_id": "node_1198",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 424.85 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.8517585410587,
      "fos_buckling": 1.25297352362344,
      "fos_yielding": 11.06913226447339,
      "deflection": 0.007599941507773038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_1197",
      "improvement_over_parent": null
    },
    "node_1199": {
      "node_id": "node_1199",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3828080348048,
      "fos_buckling": 1.5379329723997042,
      "fos_yielding": 14.272682505016403,
      "deflection": 0.005952942049176925,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_1198",
      "improvement_over_parent": null
    },
    "node_1200": {
      "node_id": "node_1200",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1199",
      "improvement_over_parent": null
    },
    "node_1201": {
      "node_id": "node_1201",
      "content": "INITIAL DESIGN (Trace 179)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 324.95 kg\n  Factor of Safety: 0.99\n  Max Deflection: 9.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 324.9489504005214,
      "fos_buckling": 0.9947376741556081,
      "fos_yielding": 8.448169330493647,
      "deflection": 0.009876431740081796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1202": {
      "node_id": "node_1202",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 398.69 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.6927438895388,
      "fos_buckling": 1.187466463406246,
      "fos_yielding": 10.381763352300814,
      "deflection": 0.008085773694021388,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_1201",
      "improvement_over_parent": null
    },
    "node_1203": {
      "node_id": "node_1203",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 489.79 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.62e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 489.7949232053553,
      "fos_buckling": 1.4091943662723911,
      "fos_yielding": 12.778951061823976,
      "deflection": 0.006618142921374935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_1202",
      "improvement_over_parent": null
    },
    "node_1204": {
      "node_id": "node_1204",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.96 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9590550388066,
      "fos_buckling": 1.5369942920256225,
      "fos_yielding": 14.261483342634211,
      "deflection": 0.005957410904930466,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_1203",
      "improvement_over_parent": null
    },
    "node_1205": {
      "node_id": "node_1205",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1204",
      "improvement_over_parent": null
    },
    "node_1206": {
      "node_id": "node_1206",
      "content": "INITIAL DESIGN (Trace 180)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\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_1207": {
      "node_id": "node_1207",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 274.67 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.55e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 274.67297093037655,
      "fos_buckling": 0.44991931837654997,
      "fos_yielding": 3.6178929537148625,
      "deflection": 25523320184467.46,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006916)"
      },
      "parent_node_id": "node_1206",
      "improvement_over_parent": null
    },
    "node_1208": {
      "node_id": "node_1208",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 304.23 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.12e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 304.2348601845535,
      "fos_buckling": 0.4662375242668873,
      "fos_yielding": 0.4522366192143577,
      "deflection": 111654759872202.47,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1207",
      "improvement_over_parent": null
    },
    "node_1209": {
      "node_id": "node_1209",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 343.61 kg\n  Factor of Safety: 0.39\n  Max Deflection: 8.74e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 343.6082653475789,
      "fos_buckling": 0.39360944359661104,
      "fos_yielding": 0.4522366192143577,
      "deflection": 87360560326116.38,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007058)"
      },
      "parent_node_id": "node_1208",
      "improvement_over_parent": null
    },
    "node_1210": {
      "node_id": "node_1210",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 382.98 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 382.98167051060426,
      "fos_buckling": 0.5083785190953006,
      "fos_yielding": 5.898768927457048,
      "deflection": 0.013268080587362273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007058)"
      },
      "parent_node_id": "node_1209",
      "improvement_over_parent": null
    },
    "node_1211": {
      "node_id": "node_1211",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 463.19 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.187345737173,
      "fos_buckling": 0.5932475839585741,
      "fos_yielding": 7.080407646966289,
      "deflection": 0.011023498125725457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_1210",
      "improvement_over_parent": null
    },
    "node_1212": {
      "node_id": "node_1212",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5825781705345,
      "fos_buckling": 1.5378016088404423,
      "fos_yielding": 14.27978086085807,
      "deflection": 0.005950809910847475,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1211",
      "improvement_over_parent": null
    },
    "node_1213": {
      "node_id": "node_1213",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1212",
      "improvement_over_parent": null
    },
    "node_1214": {
      "node_id": "node_1214",
      "content": "INITIAL DESIGN (Trace 181)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 430.96 kg\n  Factor of Safety: 1.00\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": 430.9611035195577,
      "fos_buckling": 1.0012639764555404,
      "fos_yielding": 12.533494626379676,
      "deflection": 0.009189144065402909,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1215": {
      "node_id": "node_1215",
      "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 451.11 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.20e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.107354383754,
      "fos_buckling": 0.9999908293842581,
      "fos_yielding": 12.517557788191422,
      "deflection": 0.009204500900013984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.502)"
      },
      "parent_node_id": "node_1214",
      "improvement_over_parent": null
    },
    "node_1216": {
      "node_id": "node_1216",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 498.71 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.71011884425695,
      "fos_buckling": 0.9969953863179692,
      "fos_yielding": 12.480061812646719,
      "deflection": 0.007462610582540271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1215",
      "improvement_over_parent": null
    },
    "node_1217": {
      "node_id": "node_1217",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.31 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3128833047599,
      "fos_buckling": 1.5377003342939413,
      "fos_yielding": 14.268921732627147,
      "deflection": 0.005953834173469497,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1216",
      "improvement_over_parent": null
    },
    "node_1218": {
      "node_id": "node_1218",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1217",
      "improvement_over_parent": null
    },
    "node_1219": {
      "node_id": "node_1219",
      "content": "INITIAL DESIGN (Trace 182)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 238.65 kg\n  Factor of Safety: 0.57\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": 238.65214938223997,
      "fos_buckling": 0.5673715033962863,
      "fos_yielding": 6.53080012671973,
      "deflection": 0.014485349453881777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1220": {
      "node_id": "node_1220",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0032)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n\nPerformance:\n  Mass: 271.67 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 271.66861400705164,
      "fos_buckling": 0.7844274730175117,
      "fos_yielding": 7.6939367253646385,
      "deflection": 0.011676541393868737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004668)"
      },
      "parent_node_id": "node_1219",
      "improvement_over_parent": null
    },
    "node_1221": {
      "node_id": "node_1221",
      "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n\nPerformance:\n  Mass: 277.68 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 277.6780631229014,
      "fos_buckling": 0.8533626957156886,
      "fos_yielding": 7.436983130612921,
      "deflection": 0.011484414474999078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.339)"
      },
      "parent_node_id": "node_1220",
      "improvement_over_parent": null
    },
    "node_1222": {
      "node_id": "node_1222",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n\nPerformance:\n  Mass: 364.68 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.79e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 364.6778878742896,
      "fos_buckling": 1.0905206118240833,
      "fos_yielding": 9.783096981763908,
      "deflection": 0.008791283131041334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_1221",
      "improvement_over_parent": null
    },
    "node_1223": {
      "node_id": "node_1223",
      "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n\nPerformance:\n  Mass: 369.30 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.30001842268086,
      "fos_buckling": 1.1120066485313602,
      "fos_yielding": 9.610199331559393,
      "deflection": 0.008713792780708395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.178)"
      },
      "parent_node_id": "node_1222",
      "improvement_over_parent": null
    },
    "node_1224": {
      "node_id": "node_1224",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 440.07 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.074520613963,
      "fos_buckling": 1.2903260686474354,
      "fos_yielding": 11.469319885263129,
      "deflection": 0.007343817576803429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_1223",
      "improvement_over_parent": null
    },
    "node_1225": {
      "node_id": "node_1225",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.90 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8976799453019,
      "fos_buckling": 1.536761206259915,
      "fos_yielding": 14.25965379848932,
      "deflection": 0.005958068189390598,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 183)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 410.32 kg\n  Factor of Safety: 0.93\n  Max Deflection: 7.97e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.31798285643254,
      "fos_buckling": 0.9299052596815839,
      "fos_yielding": 9.638216696095691,
      "deflection": 0.007972971318464157,
      "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 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 412.99 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.87e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 412.99039366446806,
      "fos_buckling": 1.2397312277354304,
      "fos_yielding": 10.657945486315109,
      "deflection": 0.00787482016469244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.603)"
      },
      "parent_node_id": "node_1227",
      "improvement_over_parent": null
    },
    "node_1229": {
      "node_id": "node_1229",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 537.35 kg\n  Factor of Safety: 1.54\n  Max Deflection: 6.10e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 537.3549785637357,
      "fos_buckling": 1.5363694138534865,
      "fos_yielding": 13.902293981554593,
      "deflection": 0.006096518356746976,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_1228",
      "improvement_over_parent": null
    },
    "node_1230": {
      "node_id": "node_1230",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5708057630973,
      "fos_buckling": 1.5381514734517803,
      "fos_yielding": 14.277962682393861,
      "deflection": 0.005950861397723284,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.192)"
      },
      "parent_node_id": "node_1229",
      "improvement_over_parent": null
    },
    "node_1231": {
      "node_id": "node_1231",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1230",
      "improvement_over_parent": null
    },
    "node_1232": {
      "node_id": "node_1232",
      "content": "INITIAL DESIGN (Trace 184)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 399.32 kg\n  Factor of Safety: 1.00\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": 399.31683510795176,
      "fos_buckling": 1.0030456110294006,
      "fos_yielding": 6.562557030158741,
      "deflection": 0.011960615891563215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1233": {
      "node_id": "node_1233",
      "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 402.86 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.8611792242673,
      "fos_buckling": 1.0030456110294006,
      "fos_yielding": 6.562557030158741,
      "deflection": 0.011960615891563215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.637)"
      },
      "parent_node_id": "node_1232",
      "improvement_over_parent": null
    },
    "node_1234": {
      "node_id": "node_1234",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 450.46 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 450.46394368477024,
      "fos_buckling": 1.0000318665707704,
      "fos_yielding": 8.738769669800307,
      "deflection": 0.008986705208933557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1233",
      "improvement_over_parent": null
    },
    "node_1235": {
      "node_id": "node_1235",
      "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 469.17 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.1712496169446,
      "fos_buckling": 0.9988524528998983,
      "fos_yielding": 12.069142994967866,
      "deflection": 0.008094404066724356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.475)"
      },
      "parent_node_id": "node_1234",
      "improvement_over_parent": null
    },
    "node_1236": {
      "node_id": "node_1236",
      "content": "MODIFICATION: Increase 0 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 488.77 kg\n  Factor of Safety: 1.00\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": 488.7749378518097,
      "fos_buckling": 0.997619507656099,
      "fos_yielding": 12.492688914001365,
      "deflection": 0.00760903968488018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.653)"
      },
      "parent_node_id": "node_1235",
      "improvement_over_parent": null
    },
    "node_1237": {
      "node_id": "node_1237",
      "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 498.66 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.66143531398643,
      "fos_buckling": 0.9969988647653799,
      "fos_yielding": 12.484916914255033,
      "deflection": 0.007462644193616855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.209)"
      },
      "parent_node_id": "node_1236",
      "improvement_over_parent": null
    },
    "node_1238": {
      "node_id": "node_1238",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2641997744894,
      "fos_buckling": 1.5376468220503008,
      "fos_yielding": 14.268407151623261,
      "deflection": 0.0059542756395562155,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1237",
      "improvement_over_parent": null
    },
    "node_1239": {
      "node_id": "node_1239",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1238",
      "improvement_over_parent": null
    },
    "node_1240": {
      "node_id": "node_1240",
      "content": "INITIAL DESIGN (Trace 185)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 357.30 kg\n  Factor of Safety: 0.03\n  Max Deflection: 5.20e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 357.3017807562433,
      "fos_buckling": 0.027339767858155832,
      "fos_yielding": 0.2261183096071789,
      "deflection": 519667191210865.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1241": {
      "node_id": "node_1241",
      "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 359.49 kg\n  Factor of Safety: 3.72\n  Max Deflection: 4.93e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 359.48873703463966,
      "fos_buckling": 3.715590919984014,
      "fos_yielding": 7.73098307265245,
      "deflection": 49346320037434.164,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.362)"
      },
      "parent_node_id": "node_1240",
      "improvement_over_parent": null
    },
    "node_1242": {
      "node_id": "node_1242",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 395.82 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.98e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.81880835112037,
      "fos_buckling": 0.4303205927605258,
      "fos_yielding": 3.6178929537148625,
      "deflection": 29767726660153.37,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_1241",
      "improvement_over_parent": null
    },
    "node_1243": {
      "node_id": "node_1243",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 459.95 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 459.95146124374094,
      "fos_buckling": 0.4681151393294774,
      "fos_yielding": 5.034288736844209,
      "deflection": 0.011437697394138262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1242",
      "improvement_over_parent": null
    },
    "node_1244": {
      "node_id": "node_1244",
      "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.73 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.73224925536283,
      "fos_buckling": 0.5928811760181119,
      "fos_yielding": 7.074035355558543,
      "deflection": 0.011032975566893853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.445)"
      },
      "parent_node_id": "node_1243",
      "improvement_over_parent": null
    },
    "node_1245": {
      "node_id": "node_1245",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.13 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1274816887243,
      "fos_buckling": 1.5372396645930124,
      "fos_yielding": 14.264847100889382,
      "deflection": 0.005955689157738865,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1244",
      "improvement_over_parent": null
    },
    "node_1246": {
      "node_id": "node_1246",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1245",
      "improvement_over_parent": null
    },
    "node_1247": {
      "node_id": "node_1247",
      "content": "INITIAL DESIGN (Trace 186)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n\nPerformance:\n  Mass: 319.78 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 319.7815274629641,
      "fos_buckling": 0.43643864531076954,
      "fos_yielding": 4.954568362399331,
      "deflection": 0.015829458095591244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1248": {
      "node_id": "node_1248",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n\nPerformance:\n  Mass: 355.81 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.32e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.8076831600029,
      "fos_buckling": 0.8316404778270794,
      "fos_yielding": 8.965463085229905,
      "deflection": 0.009321700023209381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.004435)"
      },
      "parent_node_id": "node_1247",
      "improvement_over_parent": null
    },
    "node_1249": {
      "node_id": "node_1249",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n\nPerformance:\n  Mass: 398.76 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.34e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.76377717916813,
      "fos_buckling": 0.9232215726444895,
      "fos_yielding": 10.059359197222765,
      "deflection": 0.008336523316609019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1248",
      "improvement_over_parent": null
    },
    "node_1250": {
      "node_id": "node_1250",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 444.99 kg\n  Factor of Safety: 1.02\n  Max Deflection: 7.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.987058226853,
      "fos_buckling": 1.019666888695632,
      "fos_yielding": 11.239379180091841,
      "deflection": 0.007488792791407847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_1249",
      "improvement_over_parent": null
    },
    "node_1251": {
      "node_id": "node_1251",
      "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 471.71 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.86e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.7123841068337,
      "fos_buckling": 1.36652759799192,
      "fos_yielding": 12.30255240101552,
      "deflection": 0.006864271022112228,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.637)"
      },
      "parent_node_id": "node_1250",
      "improvement_over_parent": null
    },
    "node_1252": {
      "node_id": "node_1252",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4255467306324,
      "fos_buckling": 1.537938999532492,
      "fos_yielding": 14.273990567121816,
      "deflection": 0.005952420544205522,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_1251",
      "improvement_over_parent": null
    },
    "node_1253": {
      "node_id": "node_1253",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1252",
      "improvement_over_parent": null
    },
    "node_1254": {
      "node_id": "node_1254",
      "content": "INITIAL DESIGN (Trace 187)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 352.34 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.3369965801893,
      "fos_buckling": 0.8436692205749577,
      "fos_yielding": 10.212386200763564,
      "deflection": 0.01125930520623706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1255": {
      "node_id": "node_1255",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 404.34 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.15e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.34064415290317,
      "fos_buckling": 0.8408921126085251,
      "fos_yielding": 10.178770064980988,
      "deflection": 0.00915086236373243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007552)"
      },
      "parent_node_id": "node_1254",
      "improvement_over_parent": null
    },
    "node_1256": {
      "node_id": "node_1256",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.61 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.61428654973935,
      "fos_buckling": 0.9968923880647163,
      "fos_yielding": 12.478472505460024,
      "deflection": 0.007463771773799932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_1255",
      "improvement_over_parent": null
    },
    "node_1257": {
      "node_id": "node_1257",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.22 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2170510102424,
      "fos_buckling": 1.537547442238612,
      "fos_yielding": 14.267607240264361,
      "deflection": 0.005954737094591064,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1256",
      "improvement_over_parent": null
    },
    "node_1258": {
      "node_id": "node_1258",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1257",
      "improvement_over_parent": null
    },
    "node_1259": {
      "node_id": "node_1259",
      "content": "INITIAL DESIGN (Trace 188)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0036)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n\nPerformance:\n  Mass: 283.82 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 283.8235194630516,
      "fos_buckling": 0.4260466753203889,
      "fos_yielding": 4.686405407045991,
      "deflection": 0.01759381681157072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1260": {
      "node_id": "node_1260",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 354.91 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.9135792725806,
      "fos_buckling": 0.5148701883507015,
      "fos_yielding": 5.8583393821307554,
      "deflection": 0.01412668892521351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1259",
      "improvement_over_parent": null
    },
    "node_1261": {
      "node_id": "node_1261",
      "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 366.35 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 366.3529184687572,
      "fos_buckling": 0.5144964775430411,
      "fos_yielding": 5.977877820030725,
      "deflection": 0.013654427506134673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.325)"
      },
      "parent_node_id": "node_1260",
      "improvement_over_parent": null
    },
    "node_1262": {
      "node_id": "node_1262",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 438.04 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 438.0436474950912,
      "fos_buckling": 0.5944894624426861,
      "fos_yielding": 7.0935355180415645,
      "deflection": 0.011469430721624941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1261",
      "improvement_over_parent": null
    },
    "node_1263": {
      "node_id": "node_1263",
      "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.34 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.33726114116513,
      "fos_buckling": 0.593541140355121,
      "fos_yielding": 7.082390791954282,
      "deflection": 0.011019501545627105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.477)"
      },
      "parent_node_id": "node_1262",
      "improvement_over_parent": null
    },
    "node_1264": {
      "node_id": "node_1264",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.73 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.7324935745265,
      "fos_buckling": 1.5379448526754074,
      "fos_yielding": 14.281453445598766,
      "deflection": 0.005949447032484063,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1263",
      "improvement_over_parent": null
    },
    "node_1265": {
      "node_id": "node_1265",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1264",
      "improvement_over_parent": null
    },
    "node_1266": {
      "node_id": "node_1266",
      "content": "INITIAL DESIGN (Trace 189)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 352.46 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.45718275470927,
      "fos_buckling": 0.5444767555618243,
      "fos_yielding": 5.676124224222939,
      "deflection": 0.014048273603225157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1267": {
      "node_id": "node_1267",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 427.05 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.37e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 427.0547197042979,
      "fos_buckling": 0.9130718143646361,
      "fos_yielding": 11.216087387515898,
      "deflection": 0.008365676305164434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009576)"
      },
      "parent_node_id": "node_1266",
      "improvement_over_parent": null
    },
    "node_1268": {
      "node_id": "node_1268",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 484.42 kg\n  Factor of Safety: 1.11\n  Max Deflection: 6.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 484.41737348144034,
      "fos_buckling": 1.1076439762221124,
      "fos_yielding": 8.64282750073109,
      "deflection": 0.006839594769919014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008397)"
      },
      "parent_node_id": "node_1267",
      "improvement_over_parent": null
    },
    "node_1269": {
      "node_id": "node_1269",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 541.76 kg\n  Factor of Safety: 1.23\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.7586369227312,
      "fos_buckling": 1.2299250296185094,
      "fos_yielding": 9.71088213293697,
      "deflection": 0.006134160588097579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_1268",
      "improvement_over_parent": null
    },
    "node_1270": {
      "node_id": "node_1270",
      "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4374771623219,
      "fos_buckling": 1.5380799274724448,
      "fos_yielding": 14.280905475868396,
      "deflection": 0.005952240635576338,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.618)"
      },
      "parent_node_id": "node_1269",
      "improvement_over_parent": null
    },
    "node_1271": {
      "node_id": "node_1271",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1270",
      "improvement_over_parent": null
    },
    "node_1272": {
      "node_id": "node_1272",
      "content": "INITIAL DESIGN (Trace 190)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 478.21 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.34e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 478.2133717744887,
      "fos_buckling": 0.9981537950803208,
      "fos_yielding": 8.77747575378933,
      "deflection": 0.008338005886291553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1273": {
      "node_id": "node_1273",
      "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 496.60 kg\n  Factor of Safety: 1.00\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": 496.60360998113765,
      "fos_buckling": 0.9969986962699673,
      "fos_yielding": 12.476026447226921,
      "deflection": 0.007463501728636585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.464)"
      },
      "parent_node_id": "node_1272",
      "improvement_over_parent": null
    },
    "node_1274": {
      "node_id": "node_1274",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 544.21 kg\n  Factor of Safety: 1.43\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.2063744416406,
      "fos_buckling": 1.4307300796230582,
      "fos_yielding": 14.4270951951613,
      "deflection": 0.005988307871540335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1273",
      "improvement_over_parent": null
    },
    "node_1275": {
      "node_id": "node_1275",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0081)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 547.60 kg\n  Factor of Safety: 1.40\n  Max Deflection: 5.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 547.604048064442,
      "fos_buckling": 1.3997875337770846,
      "fos_yielding": 15.251576613011377,
      "deflection": 0.005917933448866503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.297)"
      },
      "parent_node_id": "node_1274",
      "improvement_over_parent": null
    },
    "node_1276": {
      "node_id": "node_1276",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1275",
      "improvement_over_parent": null
    },
    "node_1277": {
      "node_id": "node_1277",
      "content": "INITIAL DESIGN (Trace 191)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 372.49 kg\n  Factor of Safety: 0.95\n  Max Deflection: 8.75e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.49447418272337,
      "fos_buckling": 0.9450457679428493,
      "fos_yielding": 7.22930710505825,
      "deflection": 0.00875321350613322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1278": {
      "node_id": "node_1278",
      "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 374.69 kg\n  Factor of Safety: 0.93\n  Max Deflection: 8.68e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.69041207436766,
      "fos_buckling": 0.9279199698756858,
      "fos_yielding": 7.0983000598479,
      "deflection": 0.008681933830666287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.499)"
      },
      "parent_node_id": "node_1277",
      "improvement_over_parent": null
    },
    "node_1279": {
      "node_id": "node_1279",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 415.27 kg\n  Factor of Safety: 1.02\n  Max Deflection: 7.85e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.2684669157356,
      "fos_buckling": 1.0227921536902431,
      "fos_yielding": 7.888856591279837,
      "deflection": 0.007851133867639202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1278",
      "improvement_over_parent": null
    },
    "node_1280": {
      "node_id": "node_1280",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 525.31 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.24e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 525.3092010976301,
      "fos_buckling": 1.2742969337074337,
      "fos_yielding": 10.057229265885894,
      "deflection": 0.006244085212531865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1279",
      "improvement_over_parent": null
    },
    "node_1281": {
      "node_id": "node_1281",
      "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 530.01 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.0090789294267,
      "fos_buckling": 1.4720336927473645,
      "fos_yielding": 14.861968594950193,
      "deflection": 0.0060748492856117445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.623)"
      },
      "parent_node_id": "node_1280",
      "improvement_over_parent": null
    },
    "node_1282": {
      "node_id": "node_1282",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.47 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4733163444962,
      "fos_buckling": 1.5380990580327378,
      "fos_yielding": 14.273085234952111,
      "deflection": 0.005951948277480433,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.379)"
      },
      "parent_node_id": "node_1281",
      "improvement_over_parent": null
    },
    "node_1283": {
      "node_id": "node_1283",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1282",
      "improvement_over_parent": null
    },
    "node_1284": {
      "node_id": "node_1284",
      "content": "INITIAL DESIGN (Trace 192)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n\nPerformance:\n  Mass: 318.96 kg\n  Factor of Safety: 0.99\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": 318.9600277830064,
      "fos_buckling": 0.992188434885976,
      "fos_yielding": 8.370680707942933,
      "deflection": 0.010217720321728251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1285": {
      "node_id": "node_1285",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 407.59 kg\n  Factor of Safety: 1.23\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": 407.58821864751974,
      "fos_buckling": 1.225828258963983,
      "fos_yielding": 10.71225349487897,
      "deflection": 0.008036440665930086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_1284",
      "improvement_over_parent": null
    },
    "node_1286": {
      "node_id": "node_1286",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 421.05 kg\n  Factor of Safety: 1.23\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": 421.050465817898,
      "fos_buckling": 1.2296718025052336,
      "fos_yielding": 11.33052260548806,
      "deflection": 0.007639436422706699,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.414)"
      },
      "parent_node_id": "node_1285",
      "improvement_over_parent": null
    },
    "node_1287": {
      "node_id": "node_1287",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 538.96 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.01e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 538.960182953085,
      "fos_buckling": 1.5073988985004314,
      "fos_yielding": 14.534304537380912,
      "deflection": 0.006010961770837281,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_1286",
      "improvement_over_parent": null
    },
    "node_1288": {
      "node_id": "node_1288",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.04 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.043932165909,
      "fos_buckling": 1.5373220852516671,
      "fos_yielding": 14.261522328769528,
      "deflection": 0.005956778390613828,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.192)"
      },
      "parent_node_id": "node_1287",
      "improvement_over_parent": null
    },
    "node_1289": {
      "node_id": "node_1289",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1288",
      "improvement_over_parent": null
    },
    "node_1290": {
      "node_id": "node_1290",
      "content": "INITIAL DESIGN (Trace 193)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 427.27 kg\n  Factor of Safety: 0.49\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": 427.2741865515146,
      "fos_buckling": 0.4947846496303346,
      "fos_yielding": 7.0993006247571575,
      "deflection": 0.012155475912772927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1291": {
      "node_id": "node_1291",
      "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 436.58 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.581598672156,
      "fos_buckling": 0.5938166304230276,
      "fos_yielding": 7.086966972498291,
      "deflection": 0.011505899314845632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.267)"
      },
      "parent_node_id": "node_1290",
      "improvement_over_parent": null
    },
    "node_1292": {
      "node_id": "node_1292",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 519.98 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.39e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 519.9768311055175,
      "fos_buckling": 1.2198250669601132,
      "fos_yielding": 13.265747353421528,
      "deflection": 0.0063853376548248745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1291",
      "improvement_over_parent": null
    },
    "node_1293": {
      "node_id": "node_1293",
      "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0163)]\n\nPerformance:\n  Mass: 556.26 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 556.2614104813669,
      "fos_buckling": 1.2218922390784508,
      "fos_yielding": 14.018229086138067,
      "deflection": 0.006056620942482658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.504)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 194)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 251.55 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.547507864229,
      "fos_buckling": 0.5738367645217859,
      "fos_yielding": 6.6127752896084555,
      "deflection": 0.014089687375685573,
      "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: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n\nPerformance:\n  Mass: 285.01 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 285.0105424361618,
      "fos_buckling": 0.8853406696021626,
      "fos_yielding": 7.403363810258249,
      "deflection": 0.011233087718119615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004734)"
      },
      "parent_node_id": "node_1295",
      "improvement_over_parent": null
    },
    "node_1297": {
      "node_id": "node_1297",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n\nPerformance:\n  Mass: 340.65 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.43e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 340.6505425431514,
      "fos_buckling": 1.0367664105526162,
      "fos_yielding": 8.859187439622168,
      "deflection": 0.009430237617329381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_1296",
      "improvement_over_parent": null
    },
    "node_1298": {
      "node_id": "node_1298",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n\nPerformance:\n  Mass: 395.62 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.15e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.6168213941124,
      "fos_buckling": 1.17965538433274,
      "fos_yielding": 10.300790282596395,
      "deflection": 0.00814715383937066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1297",
      "improvement_over_parent": null
    },
    "node_1299": {
      "node_id": "node_1299",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 490.03 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 490.02582256970953,
      "fos_buckling": 1.409721857637415,
      "fos_yielding": 12.78479723708968,
      "deflection": 0.00661514169256217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_1298",
      "improvement_over_parent": null
    },
    "node_1300": {
      "node_id": "node_1300",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.77 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.7723077321134,
      "fos_buckling": 1.5365682021026597,
      "fos_yielding": 14.256282616383121,
      "deflection": 0.005959404884347637,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_1299",
      "improvement_over_parent": null
    },
    "node_1301": {
      "node_id": "node_1301",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1300",
      "improvement_over_parent": null
    },
    "node_1302": {
      "node_id": "node_1302",
      "content": "INITIAL DESIGN (Trace 195)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 339.64 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 339.6412255801321,
      "fos_buckling": 0.7297319485938877,
      "fos_yielding": 8.644773726144342,
      "deflection": 0.010834788433833752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1303": {
      "node_id": "node_1303",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n\nPerformance:\n  Mass: 372.29 kg\n  Factor of Safety: 1.08\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.28846313075434,
      "fos_buckling": 1.0812207104580653,
      "fos_yielding": 8.448253087608478,
      "deflection": 0.008713653579845083,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005776)"
      },
      "parent_node_id": "node_1302",
      "improvement_over_parent": null
    },
    "node_1304": {
      "node_id": "node_1304",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 425.41 kg\n  Factor of Safety: 1.22\n  Max Deflection: 7.65e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 425.414851929517,
      "fos_buckling": 1.2211986937208608,
      "fos_yielding": 9.677415238504345,
      "deflection": 0.007649165294976907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_1303",
      "improvement_over_parent": null
    },
    "node_1305": {
      "node_id": "node_1305",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 542.53 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.04e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 542.530115894518,
      "fos_buckling": 1.5105106746108383,
      "fos_yielding": 12.41021410091653,
      "deflection": 0.006038832230504512,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_1304",
      "improvement_over_parent": null
    },
    "node_1306": {
      "node_id": "node_1306",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 544.02 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.02e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.0176645196905,
      "fos_buckling": 1.5059719227267367,
      "fos_yielding": 12.321848438167729,
      "deflection": 0.006017144767523327,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.198)"
      },
      "parent_node_id": "node_1305",
      "improvement_over_parent": null
    },
    "node_1307": {
      "node_id": "node_1307",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0055)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0128)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 557.56 kg\n  Factor of Safety: 1.52\n  Max Deflection: 5.87e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 557.55646069576,
      "fos_buckling": 1.5240229281959725,
      "fos_yielding": 12.649861454481636,
      "deflection": 0.005867738421951291,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.182)"
      },
      "parent_node_id": "node_1306",
      "improvement_over_parent": null
    },
    "node_1308": {
      "node_id": "node_1308",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1307",
      "improvement_over_parent": null
    },
    "node_1309": {
      "node_id": "node_1309",
      "content": "INITIAL DESIGN (Trace 196)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0044)]\n\nPerformance:\n  Mass: 154.53 kg\n  Factor of Safety: 0.23\n  Max Deflection: 3.64e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.52784602881368,
      "fos_buckling": 0.23493153556309568,
      "fos_yielding": 1.8089464768574308,
      "deflection": 36378868623289.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1310": {
      "node_id": "node_1310",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n\nPerformance:\n  Mass: 184.37 kg\n  Factor of Safety: 0.23\n  Max Deflection: 3.59e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.36759570500863,
      "fos_buckling": 0.23126039906940826,
      "fos_yielding": 1.8089464768574308,
      "deflection": 35878502128644.586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_1309",
      "improvement_over_parent": null
    },
    "node_1311": {
      "node_id": "node_1311",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 216.66 kg\n  Factor of Safety: 0.90\n  Max Deflection: 2.24e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.66061688282952,
      "fos_buckling": 0.9048498192107374,
      "fos_yielding": 13.89519291546014,
      "deflection": 22405905497906.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_1310",
      "improvement_over_parent": null
    },
    "node_1312": {
      "node_id": "node_1312",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 242.75 kg\n  Factor of Safety: 0.33\n  Max Deflection: 4.29e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.75312432228503,
      "fos_buckling": 0.3345553017827448,
      "fos_yielding": 3.634392803066646,
      "deflection": 42938581136343.25,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1311",
      "improvement_over_parent": null
    },
    "node_1313": {
      "node_id": "node_1313",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 315.30 kg\n  Factor of Safety: 0.43\n  Max Deflection: 3.00e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.29798337116233,
      "fos_buckling": 0.42826930594580687,
      "fos_yielding": 3.6178929537148625,
      "deflection": 29957363180026.523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1312",
      "improvement_over_parent": null
    },
    "node_1314": {
      "node_id": "node_1314",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 398.69 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.6932158045238,
      "fos_buckling": 0.5953868398646597,
      "fos_yielding": 7.102571903537879,
      "deflection": 0.012201097865357904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1313",
      "improvement_over_parent": null
    },
    "node_1315": {
      "node_id": "node_1315",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.83 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8258686971444,
      "fos_buckling": 0.5929786370425074,
      "fos_yielding": 7.074276750945316,
      "deflection": 0.011031835980282075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1314",
      "improvement_over_parent": null
    },
    "node_1316": {
      "node_id": "node_1316",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.22 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2211011305059,
      "fos_buckling": 1.537620859304594,
      "fos_yielding": 14.268004949901565,
      "deflection": 0.0059546520070732165,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1315",
      "improvement_over_parent": null
    },
    "node_1317": {
      "node_id": "node_1317",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1316",
      "improvement_over_parent": null
    },
    "node_1318": {
      "node_id": "node_1318",
      "content": "INITIAL DESIGN (Trace 197)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n\nPerformance:\n  Mass: 362.05 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.10e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 362.04512662011433,
      "fos_buckling": 0.8797130173884649,
      "fos_yielding": 9.192407618859022,
      "deflection": 0.009098034613569356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1319": {
      "node_id": "node_1319",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 401.68 kg\n  Factor of Safety: 0.97\n  Max Deflection: 8.22e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 401.68071411903054,
      "fos_buckling": 0.9667346251884096,
      "fos_yielding": 10.2091071566555,
      "deflection": 0.008218087261417574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1318",
      "improvement_over_parent": null
    },
    "node_1320": {
      "node_id": "node_1320",
      "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 422.64 kg\n  Factor of Safety: 1.25\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": 422.63905802200975,
      "fos_buckling": 1.247477602672102,
      "fos_yielding": 11.01095516583793,
      "deflection": 0.007638711399351153,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.515)"
      },
      "parent_node_id": "node_1319",
      "improvement_over_parent": null
    },
    "node_1321": {
      "node_id": "node_1321",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2403596004654,
      "fos_buckling": 1.5376035264142818,
      "fos_yielding": 14.268911276466673,
      "deflection": 0.005954446117308171,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 198)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 365.63 kg\n  Factor of Safety: 0.66\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": 365.6340501418227,
      "fos_buckling": 0.6603776287930143,
      "fos_yielding": 8.193481032949993,
      "deflection": 0.011477450919466711,
      "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: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 423.06 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.75e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.059570140545,
      "fos_buckling": 0.9138657870565613,
      "fos_yielding": 11.227704544943325,
      "deflection": 0.008752148220249901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008407)"
      },
      "parent_node_id": "node_1323",
      "improvement_over_parent": null
    },
    "node_1325": {
      "node_id": "node_1325",
      "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 435.65 kg\n  Factor of Safety: 0.91\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": 435.6462620281934,
      "fos_buckling": 0.9131391196603126,
      "fos_yielding": 11.218776749480277,
      "deflection": 0.008481856951223955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.263)"
      },
      "parent_node_id": "node_1324",
      "improvement_over_parent": null
    },
    "node_1326": {
      "node_id": "node_1326",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 478.27 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 478.2660165910974,
      "fos_buckling": 1.2742394365582816,
      "fos_yielding": 12.39590961776565,
      "deflection": 0.006814602046546664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007690)"
      },
      "parent_node_id": "node_1325",
      "improvement_over_parent": null
    },
    "node_1327": {
      "node_id": "node_1327",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0100)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 487.89 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.75e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 487.8858903821154,
      "fos_buckling": 1.2719719041627404,
      "fos_yielding": 12.17858881652328,
      "deflection": 0.006751380524080112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.185)"
      },
      "parent_node_id": "node_1326",
      "improvement_over_parent": null
    },
    "node_1328": {
      "node_id": "node_1328",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0112)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.12 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.1224757452711,
      "fos_buckling": 1.3959238770208362,
      "fos_yielding": 13.632177939967336,
      "deflection": 0.006061717254166809,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 199)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 370.70 kg\n  Factor of Safety: 0.75\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": 370.70065422219335,
      "fos_buckling": 0.7456702019488644,
      "fos_yielding": 8.847590598147557,
      "deflection": 0.012953366697579434,
      "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 all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 431.37 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 431.3697575764652,
      "fos_buckling": 0.8492101473427953,
      "fos_yielding": 10.275936544726404,
      "deflection": 0.011152860365479501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1330",
      "improvement_over_parent": null
    },
    "node_1332": {
      "node_id": "node_1332",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n\nPerformance:\n  Mass: 438.33 kg\n  Factor of Safety: 1.04\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": 438.32572877090774,
      "fos_buckling": 1.0403650500410284,
      "fos_yielding": 8.0724180769722,
      "deflection": 0.007520055342394937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003224)"
      },
      "parent_node_id": "node_1331",
      "improvement_over_parent": null
    },
    "node_1333": {
      "node_id": "node_1333",
      "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0067)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n\nPerformance:\n  Mass: 442.13 kg\n  Factor of Safety: 1.03\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 442.1291353871219,
      "fos_buckling": 1.0270269384829858,
      "fos_yielding": 7.968924776375869,
      "deflection": 0.007472811165748011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.548)"
      },
      "parent_node_id": "node_1332",
      "improvement_over_parent": null
    },
    "node_1334": {
      "node_id": "node_1334",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0084)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n\nPerformance:\n  Mass: 545.93 kg\n  Factor of Safety: 1.25\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.9271902471153,
      "fos_buckling": 1.2508274672680477,
      "fos_yielding": 9.921050585200573,
      "deflection": 0.006084179604553006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_1333",
      "improvement_over_parent": null
    },
    "node_1335": {
      "node_id": "node_1335",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1334",
      "improvement_over_parent": null
    },
    "node_1336": {
      "node_id": "node_1336",
      "content": "INITIAL DESIGN (Trace 200)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 352.98 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.9799273316613,
      "fos_buckling": 0.42718889295798634,
      "fos_yielding": 4.536092395857612,
      "deflection": 0.017242961892353453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1337": {
      "node_id": "node_1337",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 436.38 kg\n  Factor of Safety: 0.59\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": 436.3751597650228,
      "fos_buckling": 0.5939161922439944,
      "fos_yielding": 7.085494684324765,
      "deflection": 0.011072525856922812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1336",
      "improvement_over_parent": null
    },
    "node_1338": {
      "node_id": "node_1338",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 502.15 kg\n  Factor of Safety: 1.24\n  Max Deflection: 6.70e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 502.1513246097735,
      "fos_buckling": 1.2373735825412957,
      "fos_yielding": 12.971911429033664,
      "deflection": 0.006698466594498267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008359)"
      },
      "parent_node_id": "node_1337",
      "improvement_over_parent": null
    },
    "node_1339": {
      "node_id": "node_1339",
      "content": "MODIFICATION: Increase 0 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 525.10 kg\n  Factor of Safety: 1.22\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": 525.1034205457082,
      "fos_buckling": 1.2243773429788607,
      "fos_yielding": 13.001013946523598,
      "deflection": 0.0062837352892968126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.647)"
      },
      "parent_node_id": "node_1338",
      "improvement_over_parent": null
    },
    "node_1340": {
      "node_id": "node_1340",
      "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 528.61 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.6067539620544,
      "fos_buckling": 1.3296459145746256,
      "fos_yielding": 13.645160691393205,
      "deflection": 0.006214578998355774,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.626)"
      },
      "parent_node_id": "node_1339",
      "improvement_over_parent": null
    },
    "node_1341": {
      "node_id": "node_1341",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0123)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 545.24 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.2440121675608,
      "fos_buckling": 1.3757822047861052,
      "fos_yielding": 13.29226153393931,
      "deflection": 0.006114571139966085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.294)"
      },
      "parent_node_id": "node_1340",
      "improvement_over_parent": null
    },
    "node_1342": {
      "node_id": "node_1342",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1341",
      "improvement_over_parent": null
    },
    "node_1343": {
      "node_id": "node_1343",
      "content": "INITIAL DESIGN (Trace 201)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_1344": {
      "node_id": "node_1344",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n\nPerformance:\n  Mass: 365.26 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 365.2632872884866,
      "fos_buckling": 0.4652640880573594,
      "fos_yielding": 4.146287303790873,
      "deflection": 0.01814990039815937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005179)"
      },
      "parent_node_id": "node_1343",
      "improvement_over_parent": null
    },
    "node_1345": {
      "node_id": "node_1345",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0066)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n\nPerformance:\n  Mass: 367.08 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.80e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 367.08136677022185,
      "fos_buckling": 0.4652640880573594,
      "fos_yielding": 4.146287303790872,
      "deflection": 0.017992574267331505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.212)"
      },
      "parent_node_id": "node_1344",
      "improvement_over_parent": null
    },
    "node_1346": {
      "node_id": "node_1346",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0066)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 450.48 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 450.4765992035833,
      "fos_buckling": 0.46281445431151397,
      "fos_yielding": 6.3807010373156565,
      "deflection": 0.012161904224089155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1345",
      "improvement_over_parent": null
    },
    "node_1347": {
      "node_id": "node_1347",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0066)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.87 kg\n  Factor of Safety: 1.43\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": 533.8718316369448,
      "fos_buckling": 1.4296868129263498,
      "fos_yielding": 12.573663754968084,
      "deflection": 0.0060970693236945496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1346",
      "improvement_over_parent": null
    },
    "node_1348": {
      "node_id": "node_1348",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0066)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.03 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.0277578531151,
      "fos_buckling": 1.4860227205664576,
      "fos_yielding": 12.140246021457653,
      "deflection": 0.005998692315971611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.376)"
      },
      "parent_node_id": "node_1347",
      "improvement_over_parent": null
    },
    "node_1349": {
      "node_id": "node_1349",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1348",
      "improvement_over_parent": null
    },
    "node_1350": {
      "node_id": "node_1350",
      "content": "INITIAL DESIGN (Trace 202)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 362.01 kg\n  Factor of Safety: 0.46\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": 362.0084748988561,
      "fos_buckling": 0.4631506587524778,
      "fos_yielding": 4.967800327044865,
      "deflection": 0.013487302282362302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1351": {
      "node_id": "node_1351",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 363.27 kg\n  Factor of Safety: 0.51\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": 363.27218084353126,
      "fos_buckling": 0.5088543971918961,
      "fos_yielding": 5.902909350150027,
      "deflection": 0.01326197293758974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.203)"
      },
      "parent_node_id": "node_1350",
      "improvement_over_parent": null
    },
    "node_1352": {
      "node_id": "node_1352",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 432.23 kg\n  Factor of Safety: 1.22\n  Max Deflection: 7.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 432.23073557375284,
      "fos_buckling": 1.2217557743949736,
      "fos_yielding": 10.83513656945966,
      "deflection": 0.007737712528285284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008795)"
      },
      "parent_node_id": "node_1351",
      "improvement_over_parent": null
    },
    "node_1353": {
      "node_id": "node_1353",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 523.03 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.42e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 523.0271073158182,
      "fos_buckling": 1.4280444948137103,
      "fos_yielding": 13.135928389477588,
      "deflection": 0.006424968032427831,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_1352",
      "improvement_over_parent": null
    },
    "node_1354": {
      "node_id": "node_1354",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 532.89 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.18e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 532.8932314586666,
      "fos_buckling": 1.5347119101225106,
      "fos_yielding": 13.695559550730417,
      "deflection": 0.006180945875566924,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.274)"
      },
      "parent_node_id": "node_1353",
      "improvement_over_parent": null
    },
    "node_1355": {
      "node_id": "node_1355",
      "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.32 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3166163228433,
      "fos_buckling": 1.5377291546061378,
      "fos_yielding": 14.2708709354007,
      "deflection": 0.00595361501789513,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.304)"
      },
      "parent_node_id": "node_1354",
      "improvement_over_parent": null
    },
    "node_1356": {
      "node_id": "node_1356",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1355",
      "improvement_over_parent": null
    },
    "node_1357": {
      "node_id": "node_1357",
      "content": "INITIAL DESIGN (Trace 203)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 320.83 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.832140384058,
      "fos_buckling": 0.5774335325419856,
      "fos_yielding": 5.102454732413604,
      "deflection": 0.013799568366197243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1358": {
      "node_id": "node_1358",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 375.59 kg\n  Factor of Safety: 0.67\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": 375.58907907662643,
      "fos_buckling": 0.6650394178300902,
      "fos_yielding": 5.979452236168426,
      "deflection": 0.01180063821332381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_1357",
      "improvement_over_parent": null
    },
    "node_1359": {
      "node_id": "node_1359",
      "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 388.75 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 388.7533433928761,
      "fos_buckling": 0.6644845830834407,
      "fos_yielding": 8.251579767740546,
      "deflection": 0.010461264361958019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.475)"
      },
      "parent_node_id": "node_1358",
      "improvement_over_parent": null
    },
    "node_1360": {
      "node_id": "node_1360",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 407.47 kg\n  Factor of Safety: 0.87\n  Max Deflection: 9.40e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.4746186582259,
      "fos_buckling": 0.8700372582414576,
      "fos_yielding": 8.637943281345933,
      "deflection": 0.009404378713200167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.391)"
      },
      "parent_node_id": "node_1359",
      "improvement_over_parent": null
    },
    "node_1361": {
      "node_id": "node_1361",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.63 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.97e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.63275888761063,
      "fos_buckling": 0.9973865470654716,
      "fos_yielding": 10.21164145354748,
      "deflection": 0.007970424441589033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_1360",
      "improvement_over_parent": null
    },
    "node_1362": {
      "node_id": "node_1362",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 493.87 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.51e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 493.8716889608661,
      "fos_buckling": 0.996680769310904,
      "fos_yielding": 12.472219129125762,
      "deflection": 0.00751119610454874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.244)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 541.47 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.474453421369,
      "fos_buckling": 1.2786957449134848,
      "fos_yielding": 10.157039858008856,
      "deflection": 0.006116713516810981,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1362",
      "improvement_over_parent": null
    },
    "node_1364": {
      "node_id": "node_1364",
      "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0082)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.82 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.8204731036718,
      "fos_buckling": 1.2628410965294652,
      "fos_yielding": 10.031101927729672,
      "deflection": 0.006079691445937318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.524)"
      },
      "parent_node_id": "node_1363",
      "improvement_over_parent": null
    },
    "node_1365": {
      "node_id": "node_1365",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1364",
      "improvement_over_parent": null
    },
    "node_1366": {
      "node_id": "node_1366",
      "content": "INITIAL DESIGN (Trace 204)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 315.17 kg\n  Factor of Safety: 0.12\n  Max Deflection: 8.97e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.1667519548564,
      "fos_buckling": 0.11526865265136618,
      "fos_yielding": 0.9044732384287154,
      "deflection": 89696617200246.77,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1367": {
      "node_id": "node_1367",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 369.90 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.89642313485655,
      "fos_buckling": 0.7004901291138739,
      "fos_yielding": 8.75337787353286,
      "deflection": 0.010338302107959161,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006871)"
      },
      "parent_node_id": "node_1366",
      "improvement_over_parent": null
    },
    "node_1368": {
      "node_id": "node_1368",
      "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 372.20 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.19908358909515,
      "fos_buckling": 0.7004901291138738,
      "fos_yielding": 8.75337787353286,
      "deflection": 0.010338302107959163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.435)"
      },
      "parent_node_id": "node_1367",
      "improvement_over_parent": null
    },
    "node_1369": {
      "node_id": "node_1369",
      "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 375.13 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 375.134152548127,
      "fos_buckling": 0.7002293671591159,
      "fos_yielding": 8.750119372334671,
      "deflection": 0.010284628104943126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.404)"
      },
      "parent_node_id": "node_1368",
      "improvement_over_parent": null
    },
    "node_1370": {
      "node_id": "node_1370",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 452.60 kg\n  Factor of Safety: 0.82\n  Max Deflection: 8.56e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 452.5984847497898,
      "fos_buckling": 0.8232239150946027,
      "fos_yielding": 10.533076691395266,
      "deflection": 0.008556377432891097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1369",
      "improvement_over_parent": null
    },
    "node_1371": {
      "node_id": "node_1371",
      "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 469.78 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.78464899013875,
      "fos_buckling": 0.9987029513490163,
      "fos_yielding": 12.499971645019583,
      "deflection": 0.0079168128568862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.285)"
      },
      "parent_node_id": "node_1370",
      "improvement_over_parent": null
    },
    "node_1372": {
      "node_id": "node_1372",
      "content": "MODIFICATION: Increase 6 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.51 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.5131427584126,
      "fos_buckling": 0.9968974921022865,
      "fos_yielding": 12.477374145573044,
      "deflection": 0.007464976820163726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.577)"
      },
      "parent_node_id": "node_1371",
      "improvement_over_parent": null
    },
    "node_1373": {
      "node_id": "node_1373",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.12 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1159072189156,
      "fos_buckling": 1.536683415248654,
      "fos_yielding": 14.261492938999687,
      "deflection": 0.005955919971008099,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 205)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 381.44 kg\n  Factor of Safety: 0.60\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": 381.4372894914903,
      "fos_buckling": 0.6003723306639722,
      "fos_yielding": 7.372716901056111,
      "deflection": 0.012006723714722362,
      "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 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 391.91 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.9099563013842,
      "fos_buckling": 0.7208456200439189,
      "fos_yielding": 9.041621992164371,
      "deflection": 0.011182500415247588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.241)"
      },
      "parent_node_id": "node_1375",
      "improvement_over_parent": null
    },
    "node_1377": {
      "node_id": "node_1377",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 437.18 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 437.18435441693583,
      "fos_buckling": 0.7496340698280706,
      "fos_yielding": 9.402717729519129,
      "deflection": 0.01115159978574658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006511)"
      },
      "parent_node_id": "node_1376",
      "improvement_over_parent": null
    },
    "node_1378": {
      "node_id": "node_1378",
      "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0102)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 449.78 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.7796091366582,
      "fos_buckling": 0.7499397411532065,
      "fos_yielding": 9.406551788433926,
      "deflection": 0.01115128441628067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.250)"
      },
      "parent_node_id": "node_1377",
      "improvement_over_parent": null
    },
    "node_1379": {
      "node_id": "node_1379",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0102)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 465.73 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 465.72796278352905,
      "fos_buckling": 0.9017089263543373,
      "fos_yielding": 11.023914605115397,
      "deflection": 0.01038744002933492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.305)"
      },
      "parent_node_id": "node_1378",
      "improvement_over_parent": null
    },
    "node_1380": {
      "node_id": "node_1380",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0119)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 535.96 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.9586329090206,
      "fos_buckling": 1.0115989812357307,
      "fos_yielding": 12.660503116767892,
      "deflection": 0.009043877547099038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_1379",
      "improvement_over_parent": null
    },
    "node_1381": {
      "node_id": "node_1381",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0119)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 548.93 kg\n  Factor of Safety: 1.49\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 548.9281524185755,
      "fos_buckling": 1.489874587720134,
      "fos_yielding": 14.31958796147298,
      "deflection": 0.005960717053292974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1380",
      "improvement_over_parent": null
    },
    "node_1382": {
      "node_id": "node_1382",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1381",
      "improvement_over_parent": null
    },
    "node_1383": {
      "node_id": "node_1383",
      "content": "INITIAL DESIGN (Trace 206)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 384.31 kg\n  Factor of Safety: 0.96\n  Max Deflection: 8.35e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.309967288541,
      "fos_buckling": 0.9578422220895867,
      "fos_yielding": 10.96298596845965,
      "deflection": 0.008350130291469613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1384": {
      "node_id": "node_1384",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 430.81 kg\n  Factor of Safety: 1.06\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.80991827596563,
      "fos_buckling": 1.0625657000194348,
      "fos_yielding": 12.298092203030889,
      "deflection": 0.007469519931479796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_1383",
      "improvement_over_parent": null
    },
    "node_1385": {
      "node_id": "node_1385",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 445.09 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.26e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.0856459219374,
      "fos_buckling": 1.3026177164087671,
      "fos_yielding": 11.60121640373665,
      "deflection": 0.007263333942152027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.626)"
      },
      "parent_node_id": "node_1384",
      "improvement_over_parent": null
    },
    "node_1386": {
      "node_id": "node_1386",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.419085406903,
      "fos_buckling": 1.5380070537872381,
      "fos_yielding": 14.273493643391504,
      "deflection": 0.005952569201467186,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1385",
      "improvement_over_parent": null
    },
    "node_1387": {
      "node_id": "node_1387",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1386",
      "improvement_over_parent": null
    },
    "node_1388": {
      "node_id": "node_1388",
      "content": "INITIAL DESIGN (Trace 207)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n\nPerformance:\n  Mass: 255.85 kg\n  Factor of Safety: 0.37\n  Max Deflection: 5.18e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.8491321094347,
      "fos_buckling": 0.36784607030341354,
      "fos_yielding": 5.765860521532252,
      "deflection": 51769148908082.37,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1389": {
      "node_id": "node_1389",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n\nPerformance:\n  Mass: 263.68 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.20e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 263.6837990910025,
      "fos_buckling": 0.922026384905473,
      "fos_yielding": 7.235785907429725,
      "deflection": 11983438799757.639,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003653)"
      },
      "parent_node_id": "node_1388",
      "improvement_over_parent": null
    },
    "node_1390": {
      "node_id": "node_1390",
      "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0060)]\n\nPerformance:\n  Mass: 268.31 kg\n  Factor of Safety: 1.91\n  Max Deflection: 2.06e+13 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 268.3134534194381,
      "fos_buckling": 1.911991962521153,
      "fos_yielding": 13.895192915460141,
      "deflection": 20627121757619.164,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.645)"
      },
      "parent_node_id": "node_1389",
      "improvement_over_parent": null
    },
    "node_1391": {
      "node_id": "node_1391",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 327.33 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 327.3308855417165,
      "fos_buckling": 0.750578215649484,
      "fos_yielding": 8.924961901824002,
      "deflection": 0.01074484414293383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007444)"
      },
      "parent_node_id": "node_1390",
      "improvement_over_parent": null
    },
    "node_1392": {
      "node_id": "node_1392",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 372.72 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.51e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.7163032353475,
      "fos_buckling": 1.088867993140057,
      "fos_yielding": 12.947528777829858,
      "deflection": 0.008508036623932737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006528)"
      },
      "parent_node_id": "node_1391",
      "improvement_over_parent": null
    },
    "node_1393": {
      "node_id": "node_1393",
      "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 373.87 kg\n  Factor of Safety: 1.09\n  Max Deflection: 8.48e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.8683270130725,
      "fos_buckling": 1.0885950618902551,
      "fos_yielding": 12.944283402602151,
      "deflection": 0.008480216528533913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.182)"
      },
      "parent_node_id": "node_1392",
      "improvement_over_parent": null
    },
    "node_1394": {
      "node_id": "node_1394",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0044)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n\nPerformance:\n  Mass: 413.98 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.68e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 413.9828825503736,
      "fos_buckling": 1.187123855079871,
      "fos_yielding": 14.30171763690455,
      "deflection": 0.007677524744811156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_1393",
      "improvement_over_parent": null
    },
    "node_1395": {
      "node_id": "node_1395",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0064)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 528.76 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.763204280928,
      "fos_buckling": 1.450137915963707,
      "fos_yielding": 18.153953760767372,
      "deflection": 0.006053598978642027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_1394",
      "improvement_over_parent": null
    },
    "node_1396": {
      "node_id": "node_1396",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1395",
      "improvement_over_parent": null
    },
    "node_1397": {
      "node_id": "node_1397",
      "content": "INITIAL DESIGN (Trace 208)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\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_1398": {
      "node_id": "node_1398",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n\nPerformance:\n  Mass: 231.70 kg\n  Factor of Safety: 92.37\n  Max Deflection: 5.39e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 231.7004226333188,
      "fos_buckling": 92.36751972901162,
      "fos_yielding": 2.912348326208034,
      "deflection": 53859950961302.02,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006090)"
      },
      "parent_node_id": "node_1397",
      "improvement_over_parent": null
    },
    "node_1399": {
      "node_id": "node_1399",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 266.84 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.69e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 266.8360937065545,
      "fos_buckling": 0.7317481997923635,
      "fos_yielding": 6.737714028645792,
      "deflection": 16916159438766.38,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_1398",
      "improvement_over_parent": null
    },
    "node_1400": {
      "node_id": "node_1400",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 336.01 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 336.0054474406223,
      "fos_buckling": 0.8610933521651265,
      "fos_yielding": 8.253402535883195,
      "deflection": 0.01164458628979485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008824)"
      },
      "parent_node_id": "node_1399",
      "improvement_over_parent": null
    },
    "node_1401": {
      "node_id": "node_1401",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 405.04 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.70e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 405.0411364235801,
      "fos_buckling": 1.0023521199538616,
      "fos_yielding": 9.940683302960636,
      "deflection": 0.009699704648650448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1400",
      "improvement_over_parent": null
    },
    "node_1402": {
      "node_id": "node_1402",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 469.17 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.66e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.17378931620067,
      "fos_buckling": 0.9987622019830903,
      "fos_yielding": 12.501931457280646,
      "deflection": 0.007658350005817258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1401",
      "improvement_over_parent": null
    },
    "node_1403": {
      "node_id": "node_1403",
      "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 482.07 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.07329421596455,
      "fos_buckling": 0.9979506377514745,
      "fos_yielding": 12.491772762471504,
      "deflection": 0.007458256466370165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.289)"
      },
      "parent_node_id": "node_1402",
      "improvement_over_parent": null
    },
    "node_1404": {
      "node_id": "node_1404",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.21 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2059471085852,
      "fos_buckling": 1.5369484953328476,
      "fos_yielding": 14.267486144797566,
      "deflection": 0.0059548562836707186,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1403",
      "improvement_over_parent": null
    },
    "node_1405": {
      "node_id": "node_1405",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1404",
      "improvement_over_parent": null
    },
    "node_1406": {
      "node_id": "node_1406",
      "content": "INITIAL DESIGN (Trace 209)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 267.10 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 267.0999610508914,
      "fos_buckling": 0.5569351329649546,
      "fos_yielding": 6.395822663195084,
      "deflection": 0.017918896667877444,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1407": {
      "node_id": "node_1407",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 299.94 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 299.94149411857256,
      "fos_buckling": 0.6183996772297724,
      "fos_yielding": 7.174773605700474,
      "deflection": 0.015973477590540994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1406",
      "improvement_over_parent": null
    },
    "node_1408": {
      "node_id": "node_1408",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0023)]\n\nPerformance:\n  Mass: 305.07 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 305.06899529994445,
      "fos_buckling": 0.775530936509131,
      "fos_yielding": 5.879566579487616,
      "deflection": 0.01068387658575268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.002348)"
      },
      "parent_node_id": "node_1407",
      "improvement_over_parent": null
    },
    "node_1409": {
      "node_id": "node_1409",
      "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0023)]\n\nPerformance:\n  Mass: 307.31 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 307.307024977658,
      "fos_buckling": 0.7667983561870845,
      "fos_yielding": 5.81336188668025,
      "deflection": 0.010623576676050824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.443)"
      },
      "parent_node_id": "node_1408",
      "improvement_over_parent": null
    },
    "node_1410": {
      "node_id": "node_1410",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n\nPerformance:\n  Mass: 357.80 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.15e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 357.8021239884699,
      "fos_buckling": 0.8861501379275664,
      "fos_yielding": 6.791304134955441,
      "deflection": 0.00914908894483909,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_1409",
      "improvement_over_parent": null
    },
    "node_1411": {
      "node_id": "node_1411",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0062)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n\nPerformance:\n  Mass: 439.99 kg\n  Factor of Safety: 1.08\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 439.99392588206814,
      "fos_buckling": 1.0763038252542425,
      "fos_yielding": 8.398531447781505,
      "deflection": 0.007472749900842852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1410",
      "improvement_over_parent": null
    },
    "node_1412": {
      "node_id": "node_1412",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0078)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n\nPerformance:\n  Mass: 546.52 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.516391771522,
      "fos_buckling": 1.3150409218974872,
      "fos_yielding": 10.512086179966122,
      "deflection": 0.00605027636424299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_1411",
      "improvement_over_parent": null
    },
    "node_1413": {
      "node_id": "node_1413",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1412",
      "improvement_over_parent": null
    },
    "node_1414": {
      "node_id": "node_1414",
      "content": "INITIAL DESIGN (Trace 210)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 421.58 kg\n  Factor of Safety: 1.01\n  Max Deflection: 3.55e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.5769927923433,
      "fos_buckling": 1.0147472477678041,
      "fos_yielding": 12.131195551470475,
      "deflection": 3554593809282.702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1414",
      "improvement_over_parent": null
    },
    "node_1416": {
      "node_id": "node_1416",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 469.18 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.17975725284623,
      "fos_buckling": 0.9996688425588786,
      "fos_yielding": 12.513527262535291,
      "deflection": 0.009049993640246671,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1415",
      "improvement_over_parent": null
    },
    "node_1417": {
      "node_id": "node_1417",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n\nPerformance:\n  Mass: 480.20 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.20415906479406,
      "fos_buckling": 0.9982800630091418,
      "fos_yielding": 12.496142974841783,
      "deflection": 0.007472167049566731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005258)"
      },
      "parent_node_id": "node_1416",
      "improvement_over_parent": null
    },
    "node_1418": {
      "node_id": "node_1418",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 544.34 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.01e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.3368119574146,
      "fos_buckling": 1.5110229318689916,
      "fos_yielding": 12.370124058744304,
      "deflection": 0.006013142817848866,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1417",
      "improvement_over_parent": null
    },
    "node_1419": {
      "node_id": "node_1419",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0113)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 555.37 kg\n  Factor of Safety: 1.48\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 555.3722003719483,
      "fos_buckling": 1.4836845312128473,
      "fos_yielding": 12.146315802395828,
      "deflection": 0.005957068359845335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.193)"
      },
      "parent_node_id": "node_1418",
      "improvement_over_parent": null
    },
    "node_1420": {
      "node_id": "node_1420",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1419",
      "improvement_over_parent": null
    },
    "node_1421": {
      "node_id": "node_1421",
      "content": "INITIAL DESIGN (Trace 211)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 376.76 kg\n  Factor of Safety: 0.92\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": 376.7625718420307,
      "fos_buckling": 0.9236743926711576,
      "fos_yielding": 8.12761176412631,
      "deflection": 0.011031287279607524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1422": {
      "node_id": "node_1422",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 417.01 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.99e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 417.0088374436957,
      "fos_buckling": 1.0020659811741934,
      "fos_yielding": 8.997567509685922,
      "deflection": 0.009989324669700055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1421",
      "improvement_over_parent": null
    },
    "node_1423": {
      "node_id": "node_1423",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 481.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.14149033631634,
      "fos_buckling": 0.9980175312120286,
      "fos_yielding": 12.492632976799126,
      "deflection": 0.007757573162187019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1422",
      "improvement_over_parent": null
    },
    "node_1424": {
      "node_id": "node_1424",
      "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.66 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.6597634272223,
      "fos_buckling": 0.9969173513297988,
      "fos_yielding": 12.478861531862218,
      "deflection": 0.0074631739979749015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.433)"
      },
      "parent_node_id": "node_1423",
      "improvement_over_parent": null
    },
    "node_1425": {
      "node_id": "node_1425",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2625278877252,
      "fos_buckling": 1.5374817883903866,
      "fos_yielding": 14.269072830474093,
      "deflection": 0.005954173316389396,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1424",
      "improvement_over_parent": null
    },
    "node_1426": {
      "node_id": "node_1426",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1425",
      "improvement_over_parent": null
    },
    "node_1427": {
      "node_id": "node_1427",
      "content": "INITIAL DESIGN (Trace 212)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 287.96 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.48e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 287.96129967452396,
      "fos_buckling": 0.4302920486083999,
      "fos_yielding": 3.6178929537148616,
      "deflection": 24762449410439.25,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1428": {
      "node_id": "node_1428",
      "content": "MODIFICATION: Increase 2 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 299.44 kg\n  Factor of Safety: 0.11\n  Max Deflection: 1.40e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 299.43535303750616,
      "fos_buckling": 0.11155622428724823,
      "fos_yielding": 1.6137797830231475,
      "deflection": 140061419392562.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.490)"
      },
      "parent_node_id": "node_1427",
      "improvement_over_parent": null
    },
    "node_1429": {
      "node_id": "node_1429",
      "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 320.76 kg\n  Factor of Safety: 0.11\n  Max Deflection: 1.40e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.75664232107954,
      "fos_buckling": 0.11155622428724823,
      "fos_yielding": 1.7368991144325174,
      "deflection": 140251722199666.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.577)"
      },
      "parent_node_id": "node_1428",
      "improvement_over_parent": null
    },
    "node_1430": {
      "node_id": "node_1430",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 404.15 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.151874754441,
      "fos_buckling": 0.4759270843161543,
      "fos_yielding": 7.111096339773328,
      "deflection": 0.01301635289879269,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1429",
      "improvement_over_parent": null
    },
    "node_1431": {
      "node_id": "node_1431",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 451.75 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.75463921494395,
      "fos_buckling": 0.47449723392246035,
      "fos_yielding": 7.090025489648545,
      "deflection": 0.011842658563039139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1430",
      "improvement_over_parent": null
    },
    "node_1432": {
      "node_id": "node_1432",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 535.15 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.1498716483054,
      "fos_buckling": 1.4243543827044907,
      "fos_yielding": 14.734149890700017,
      "deflection": 0.006046628153744069,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1431",
      "improvement_over_parent": null
    },
    "node_1433": {
      "node_id": "node_1433",
      "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1990256191717,
      "fos_buckling": 1.537557810939853,
      "fos_yielding": 14.268682381246284,
      "deflection": 0.005954965107267014,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.332)"
      },
      "parent_node_id": "node_1432",
      "improvement_over_parent": null
    },
    "node_1434": {
      "node_id": "node_1434",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1433",
      "improvement_over_parent": null
    },
    "node_1435": {
      "node_id": "node_1435",
      "content": "INITIAL DESIGN (Trace 213)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\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_1436": {
      "node_id": "node_1436",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 339.01 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.72e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 339.0067078169341,
      "fos_buckling": 0.6871611279236988,
      "fos_yielding": 7.535054411401132,
      "deflection": 17204943243397.582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007680)"
      },
      "parent_node_id": "node_1435",
      "improvement_over_parent": null
    },
    "node_1437": {
      "node_id": "node_1437",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 407.69 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.68887820279383,
      "fos_buckling": 0.8521798238277783,
      "fos_yielding": 10.338859754649906,
      "deflection": 0.009053501500143543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008757)"
      },
      "parent_node_id": "node_1436",
      "improvement_over_parent": null
    },
    "node_1438": {
      "node_id": "node_1438",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 446.89 kg\n  Factor of Safety: 1.12\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 446.8915135025699,
      "fos_buckling": 1.122601856191887,
      "fos_yielding": 8.790818116472437,
      "deflection": 0.007345172630910911,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007025)"
      },
      "parent_node_id": "node_1437",
      "improvement_over_parent": null
    },
    "node_1439": {
      "node_id": "node_1439",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 542.58 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.5782125642013,
      "fos_buckling": 1.3418531212087985,
      "fos_yielding": 10.742990141633122,
      "deflection": 0.006081725502783509,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_1438",
      "improvement_over_parent": null
    },
    "node_1440": {
      "node_id": "node_1440",
      "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0077)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.12 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.1190989737067,
      "fos_buckling": 1.3273768798380732,
      "fos_yielding": 10.62709212278475,
      "deflection": 0.006049277399183817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.422)"
      },
      "parent_node_id": "node_1439",
      "improvement_over_parent": null
    },
    "node_1441": {
      "node_id": "node_1441",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1440",
      "improvement_over_parent": null
    },
    "node_1442": {
      "node_id": "node_1442",
      "content": "INITIAL DESIGN (Trace 214)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 212.56 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.56461159248943,
      "fos_buckling": 0.3620874531063949,
      "fos_yielding": 4.026341699941439,
      "deflection": 0.023042709876990718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1443": {
      "node_id": "node_1443",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 221.93 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.17e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.92656784841404,
      "fos_buckling": 0.3618704000371492,
      "fos_yielding": 4.023948810285235,
      "deflection": 0.02168039142718355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.391)"
      },
      "parent_node_id": "node_1442",
      "improvement_over_parent": null
    },
    "node_1444": {
      "node_id": "node_1444",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.96e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.61398515896605,
      "fos_buckling": 0.3610453832926421,
      "fos_yielding": 4.014853233824247,
      "deflection": 0.019575972229404597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005064)"
      },
      "parent_node_id": "node_1443",
      "improvement_over_parent": null
    },
    "node_1445": {
      "node_id": "node_1445",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 314.67 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 314.6717483995188,
      "fos_buckling": 0.4303880976108026,
      "fos_yielding": 4.877459247269005,
      "deflection": 0.016081784757677027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_1444",
      "improvement_over_parent": null
    },
    "node_1446": {
      "node_id": "node_1446",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 403.36 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 403.36416091319734,
      "fos_buckling": 0.5307204079172918,
      "fos_yielding": 6.199881669430437,
      "deflection": 0.012612898263934316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1445",
      "improvement_over_parent": null
    },
    "node_1447": {
      "node_id": "node_1447",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 476.05 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.80e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 476.04999844612064,
      "fos_buckling": 1.3766382114066398,
      "fos_yielding": 12.41735595097767,
      "deflection": 0.00680338689460108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009310)"
      },
      "parent_node_id": "node_1446",
      "improvement_over_parent": null
    },
    "node_1448": {
      "node_id": "node_1448",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.82 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8199671887996,
      "fos_buckling": 1.5364130917516166,
      "fos_yielding": 14.258587568028064,
      "deflection": 0.005958705132372842,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1447",
      "improvement_over_parent": null
    },
    "node_1449": {
      "node_id": "node_1449",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1448",
      "improvement_over_parent": null
    },
    "node_1450": {
      "node_id": "node_1450",
      "content": "INITIAL DESIGN (Trace 215)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 240.76 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.76496581043074,
      "fos_buckling": 0.409257467300075,
      "fos_yielding": 4.8709269238169695,
      "deflection": 0.01637546504389662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1451": {
      "node_id": "node_1451",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 278.38 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 278.3806475461836,
      "fos_buckling": 0.4685737453832907,
      "fos_yielding": 5.629140384866754,
      "deflection": 0.014187156004206135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_1450",
      "improvement_over_parent": null
    },
    "node_1452": {
      "node_id": "node_1452",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 320.46 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.45848595103564,
      "fos_buckling": 0.5334616399539912,
      "fos_yielding": 6.476825004167188,
      "deflection": 0.01234777022095754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_1451",
      "improvement_over_parent": null
    },
    "node_1453": {
      "node_id": "node_1453",
      "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 337.80 kg\n  Factor of Safety: 0.74\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": 337.79628826824944,
      "fos_buckling": 0.7355882283573287,
      "fos_yielding": 8.719991016830331,
      "deflection": 0.010823228897752047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.456)"
      },
      "parent_node_id": "node_1452",
      "improvement_over_parent": null
    },
    "node_1454": {
      "node_id": "node_1454",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 416.10 kg\n  Factor of Safety: 0.88\n  Max Deflection: 8.83e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.0998376348758,
      "fos_buckling": 0.87675540446219,
      "fos_yielding": 10.685919295992194,
      "deflection": 0.008829569143240347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1453",
      "improvement_over_parent": null
    },
    "node_1455": {
      "node_id": "node_1455",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 424.80 kg\n  Factor of Safety: 0.88\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.79515995544205,
      "fos_buckling": 0.8762734610311913,
      "fos_yielding": 10.68004535602824,
      "deflection": 0.008720387403944556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.295)"
      },
      "parent_node_id": "node_1454",
      "improvement_over_parent": null
    },
    "node_1456": {
      "node_id": "node_1456",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n\nPerformance:\n  Mass: 465.36 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 465.36044959472895,
      "fos_buckling": 1.3513400173789039,
      "fos_yielding": 12.135611214221036,
      "deflection": 0.006955285537760727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007289)"
      },
      "parent_node_id": "node_1455",
      "improvement_over_parent": null
    },
    "node_1457": {
      "node_id": "node_1457",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.86 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8630219874747,
      "fos_buckling": 1.5366212766067953,
      "fos_yielding": 14.25955843869777,
      "deflection": 0.005958342142579448,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 216)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 287.91 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.07e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 287.9135159278383,
      "fos_buckling": 0.21939093576429589,
      "fos_yielding": 2.2971581622596666,
      "deflection": 40683524302785.555,
      "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 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 353.05 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 353.0517145140886,
      "fos_buckling": 0.8167514153891042,
      "fos_yielding": 9.835201453717945,
      "deflection": 0.009901413445396847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008272)"
      },
      "parent_node_id": "node_1459",
      "improvement_over_parent": null
    },
    "node_1461": {
      "node_id": "node_1461",
      "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 355.25 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.83e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.24606079345665,
      "fos_buckling": 0.8167514153891042,
      "fos_yielding": 9.835201453717945,
      "deflection": 0.009828431910829515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.441)"
      },
      "parent_node_id": "node_1460",
      "improvement_over_parent": null
    },
    "node_1462": {
      "node_id": "node_1462",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 392.42 kg\n  Factor of Safety: 1.18\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 392.4210264721216,
      "fos_buckling": 1.1842104000211424,
      "fos_yielding": 11.660002259984365,
      "deflection": 0.008139575487080851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006635)"
      },
      "parent_node_id": "node_1461",
      "improvement_over_parent": null
    },
    "node_1463": {
      "node_id": "node_1463",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 401.39 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 401.3876146831307,
      "fos_buckling": 1.185771426382829,
      "fos_yielding": 12.085871928035843,
      "deflection": 0.007886945523033973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.244)"
      },
      "parent_node_id": "node_1462",
      "improvement_over_parent": null
    },
    "node_1464": {
      "node_id": "node_1464",
      "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0127)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 432.37 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.42e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 432.37087915053047,
      "fos_buckling": 1.187474919437848,
      "fos_yielding": 12.923482977608597,
      "deflection": 0.007419448436381291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.531)"
      },
      "parent_node_id": "node_1463",
      "improvement_over_parent": null
    },
    "node_1465": {
      "node_id": "node_1465",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0166)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 552.31 kg\n  Factor of Safety: 1.45\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 552.3061212680701,
      "fos_buckling": 1.4530455084612452,
      "fos_yielding": 16.51796855298261,
      "deflection": 0.005845870183679176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_1464",
      "improvement_over_parent": null
    },
    "node_1466": {
      "node_id": "node_1466",
      "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0166)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 568.97 kg\n  Factor of Safety: 1.63\n  Max Deflection: 5.65e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 568.9739549361275,
      "fos_buckling": 1.6282911922639598,
      "fos_yielding": 17.08760857284163,
      "deflection": 0.005649812001968748,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.225)"
      },
      "parent_node_id": "node_1465",
      "improvement_over_parent": null
    },
    "node_1467": {
      "node_id": "node_1467",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1466",
      "improvement_over_parent": null
    },
    "node_1468": {
      "node_id": "node_1468",
      "content": "INITIAL DESIGN (Trace 217)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 466.17 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.65e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.16782394066155,
      "fos_buckling": 0.9990949655557387,
      "fos_yielding": 12.506343658107095,
      "deflection": 0.00764753336000562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1469": {
      "node_id": "node_1469",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 468.64 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.63e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 468.63601606809,
      "fos_buckling": 0.9987840610176265,
      "fos_yielding": 12.502451856894448,
      "deflection": 0.007632532018847348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.258)"
      },
      "parent_node_id": "node_1468",
      "improvement_over_parent": null
    },
    "node_1470": {
      "node_id": "node_1470",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 516.24 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 516.238780528593,
      "fos_buckling": 1.4573322392516599,
      "fos_yielding": 15.417482257533312,
      "deflection": 0.006184289741783575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1469",
      "improvement_over_parent": null
    },
    "node_1471": {
      "node_id": "node_1471",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 532.33 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.333887966856,
      "fos_buckling": 1.4583036999130483,
      "fos_yielding": 15.919309595234832,
      "deflection": 0.006006746936718437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.217)"
      },
      "parent_node_id": "node_1470",
      "improvement_over_parent": null
    },
    "node_1472": {
      "node_id": "node_1472",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0077)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 534.88 kg\n  Factor of Safety: 1.47\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 534.8824981902197,
      "fos_buckling": 1.468822449730119,
      "fos_yielding": 17.73466769942147,
      "deflection": 0.005961550828302432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.221)"
      },
      "parent_node_id": "node_1471",
      "improvement_over_parent": null
    },
    "node_1473": {
      "node_id": "node_1473",
      "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0077)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0111)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 555.27 kg\n  Factor of Safety: 1.46\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 555.2703115919444,
      "fos_buckling": 1.464223830657713,
      "fos_yielding": 17.779506698892177,
      "deflection": 0.005846631638998505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.425)"
      },
      "parent_node_id": "node_1472",
      "improvement_over_parent": null
    },
    "node_1474": {
      "node_id": "node_1474",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1473",
      "improvement_over_parent": null
    },
    "node_1475": {
      "node_id": "node_1475",
      "content": "INITIAL DESIGN (Trace 218)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 214.71 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.33e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.70561268569207,
      "fos_buckling": 0.3385569356627264,
      "fos_yielding": 3.7423062986930504,
      "deflection": 0.023322858223014893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1476": {
      "node_id": "node_1476",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n\nPerformance:\n  Mass: 239.31 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.3145049260113,
      "fos_buckling": 0.3380240678918728,
      "fos_yielding": 3.7364630421052176,
      "deflection": 0.021049094463277677,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.004289)"
      },
      "parent_node_id": "node_1475",
      "improvement_over_parent": null
    },
    "node_1477": {
      "node_id": "node_1477",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 282.43 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 282.4330153799735,
      "fos_buckling": 0.8781641692542916,
      "fos_yielding": 7.336224820846384,
      "deflection": 0.011333753981327159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005347)"
      },
      "parent_node_id": "node_1476",
      "improvement_over_parent": null
    },
    "node_1478": {
      "node_id": "node_1478",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 345.55 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 345.5479418751333,
      "fos_buckling": 1.0497724537362587,
      "fos_yielding": 8.987758283377545,
      "deflection": 0.009299298853527007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1477",
      "improvement_over_parent": null
    },
    "node_1479": {
      "node_id": "node_1479",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 447.98 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.97844577712596,
      "fos_buckling": 1.3096442449604229,
      "fos_yielding": 11.677577187946818,
      "deflection": 0.007217668157230035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_1478",
      "improvement_over_parent": null
    },
    "node_1480": {
      "node_id": "node_1480",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2963456208531,
      "fos_buckling": 1.5377356449925073,
      "fos_yielding": 14.270532957129374,
      "deflection": 0.005953843062165298,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_1479",
      "improvement_over_parent": null
    },
    "node_1481": {
      "node_id": "node_1481",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1480",
      "improvement_over_parent": null
    },
    "node_1482": {
      "node_id": "node_1482",
      "content": "INITIAL DESIGN (Trace 219)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_1483": {
      "node_id": "node_1483",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.15 kg\n  Factor of Safety: 1.00\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": 482.1465619988734,
      "fos_buckling": 0.9980356238604884,
      "fos_yielding": 12.493083165612479,
      "deflection": 0.007457272458590764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1482",
      "improvement_over_parent": null
    },
    "node_1484": {
      "node_id": "node_1484",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.279214891494,
      "fos_buckling": 1.5377003541588654,
      "fos_yielding": 14.269864165691677,
      "deflection": 0.005954037788644468,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1483",
      "improvement_over_parent": null
    },
    "node_1485": {
      "node_id": "node_1485",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1484",
      "improvement_over_parent": null
    },
    "node_1486": {
      "node_id": "node_1486",
      "content": "INITIAL DESIGN (Trace 220)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\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_1487": {
      "node_id": "node_1487",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 243.82 kg\n  Factor of Safety: 0.29\n  Max Deflection: 2.16e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.82114695297872,
      "fos_buckling": 0.2926227440992809,
      "fos_yielding": 4.313340415730323,
      "deflection": 0.0215673895669963,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005538)"
      },
      "parent_node_id": "node_1486",
      "improvement_over_parent": null
    },
    "node_1488": {
      "node_id": "node_1488",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 312.68 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.69e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 312.6754874947052,
      "fos_buckling": 0.36737328100314026,
      "fos_yielding": 5.530479650064957,
      "deflection": 0.016873725640158044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_1487",
      "improvement_over_parent": null
    },
    "node_1489": {
      "node_id": "node_1489",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 402.91 kg\n  Factor of Safety: 0.46\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": 402.91169317108375,
      "fos_buckling": 0.46012918910631134,
      "fos_yielding": 7.1148085263562955,
      "deflection": 0.01315022795854179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_1488",
      "improvement_over_parent": null
    },
    "node_1490": {
      "node_id": "node_1490",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 450.51 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 450.5144576315867,
      "fos_buckling": 0.458746692721032,
      "fos_yielding": 7.093721442130236,
      "deflection": 0.011978377160171486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1489",
      "improvement_over_parent": null
    },
    "node_1491": {
      "node_id": "node_1491",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.97 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.9697403290471,
      "fos_buckling": 0.5929201655674807,
      "fos_yielding": 7.0772564730464245,
      "deflection": 0.011028876355573642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.389)"
      },
      "parent_node_id": "node_1490",
      "improvement_over_parent": null
    },
    "node_1492": {
      "node_id": "node_1492",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.36 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3649727624086,
      "fos_buckling": 1.5376454593222308,
      "fos_yielding": 14.274306524234891,
      "deflection": 0.005953032125132981,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1491",
      "improvement_over_parent": null
    },
    "node_1493": {
      "node_id": "node_1493",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1492",
      "improvement_over_parent": null
    },
    "node_1494": {
      "node_id": "node_1494",
      "content": "INITIAL DESIGN (Trace 221)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 243.83 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.42e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.82859475124764,
      "fos_buckling": 0.6453006196394854,
      "fos_yielding": 7.578137515450016,
      "deflection": 2416752571187.787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1495": {
      "node_id": "node_1495",
      "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 248.10 kg\n  Factor of Safety: 0.65\n  Max Deflection: 2.42e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.09680285512758,
      "fos_buckling": 0.6451232145060007,
      "fos_yielding": 7.597513033441517,
      "deflection": 2416752571187.7188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.189)"
      },
      "parent_node_id": "node_1494",
      "improvement_over_parent": null
    },
    "node_1496": {
      "node_id": "node_1496",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 324.12 kg\n  Factor of Safety: 0.82\n  Max Deflection: 3.78e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 324.12138000065306,
      "fos_buckling": 0.81526540812475,
      "fos_yielding": 9.740335391437997,
      "deflection": 3778680300437.6167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1495",
      "improvement_over_parent": null
    },
    "node_1497": {
      "node_id": "node_1497",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 360.73 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 360.7317463646495,
      "fos_buckling": 0.8058896127017194,
      "fos_yielding": 9.684140899510444,
      "deflection": 0.011725827166962924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006527)"
      },
      "parent_node_id": "node_1496",
      "improvement_over_parent": null
    },
    "node_1498": {
      "node_id": "node_1498",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 410.06 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.05667497833116,
      "fos_buckling": 0.8133519466457101,
      "fos_yielding": 9.77381359439793,
      "deflection": 0.011725827166962927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007135)"
      },
      "parent_node_id": "node_1497",
      "improvement_over_parent": null
    },
    "node_1499": {
      "node_id": "node_1499",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n\nPerformance:\n  Mass: 420.03 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.69e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 420.0310197776866,
      "fos_buckling": 1.2409796701761737,
      "fos_yielding": 10.943376628438758,
      "deflection": 0.007685112526951188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004721)"
      },
      "parent_node_id": "node_1498",
      "improvement_over_parent": null
    },
    "node_1500": {
      "node_id": "node_1500",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.32 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.317237632871,
      "fos_buckling": 1.5377541183400227,
      "fos_yielding": 14.27217229166053,
      "deflection": 0.005953776069023184,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_1499",
      "improvement_over_parent": null
    },
    "node_1501": {
      "node_id": "node_1501",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1500",
      "improvement_over_parent": null
    },
    "node_1502": {
      "node_id": "node_1502",
      "content": "INITIAL DESIGN (Trace 222)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1503": {
      "node_id": "node_1503",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 278.07 kg\n  Factor of Safety: 0.14\n  Max Deflection: 1.38e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 278.06621584761933,
      "fos_buckling": 0.14363977164132924,
      "fos_yielding": 1.7368991144325177,
      "deflection": 138496302804563.25,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007591)"
      },
      "parent_node_id": "node_1502",
      "improvement_over_parent": null
    },
    "node_1504": {
      "node_id": "node_1504",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n\nPerformance:\n  Mass: 287.41 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 287.41458367914555,
      "fos_buckling": 0.45397043333158205,
      "fos_yielding": 5.177605101665264,
      "deflection": 0.01680891476769286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004405)"
      },
      "parent_node_id": "node_1503",
      "improvement_over_parent": null
    },
    "node_1505": {
      "node_id": "node_1505",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n\nPerformance:\n  Mass: 358.64 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 358.6350451902415,
      "fos_buckling": 0.5466489522288637,
      "fos_yielding": 6.414704020095998,
      "deflection": 0.01353040920641587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1504",
      "improvement_over_parent": null
    },
    "node_1506": {
      "node_id": "node_1506",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 416.29 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.29305753580843,
      "fos_buckling": 0.5446553347335863,
      "fos_yielding": 6.391628392014294,
      "deflection": 0.012229855272584631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008444)"
      },
      "parent_node_id": "node_1505",
      "improvement_over_parent": null
    },
    "node_1507": {
      "node_id": "node_1507",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.26 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.2626569572367,
      "fos_buckling": 0.593474408610848,
      "fos_yielding": 7.0814266532659955,
      "deflection": 0.011020881236073954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1506",
      "improvement_over_parent": null
    },
    "node_1508": {
      "node_id": "node_1508",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6578893905981,
      "fos_buckling": 1.537917722785701,
      "fos_yielding": 14.281307553283963,
      "deflection": 0.00595005327831977,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1507",
      "improvement_over_parent": null
    },
    "node_1509": {
      "node_id": "node_1509",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1508",
      "improvement_over_parent": null
    },
    "node_1510": {
      "node_id": "node_1510",
      "content": "INITIAL DESIGN (Trace 223)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 428.58 kg\n  Factor of Safety: 0.60\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": 428.58227254369024,
      "fos_buckling": 0.5988456057019312,
      "fos_yielding": 7.292345582588096,
      "deflection": 0.012373119275864746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1511": {
      "node_id": "node_1511",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n\nPerformance:\n  Mass: 435.70 kg\n  Factor of Safety: 0.94\n  Max Deflection: 7.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 435.704994870624,
      "fos_buckling": 0.9378009790810381,
      "fos_yielding": 7.457980856194263,
      "deflection": 0.007901024068495011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003305)"
      },
      "parent_node_id": "node_1510",
      "improvement_over_parent": null
    },
    "node_1512": {
      "node_id": "node_1512",
      "content": "MODIFICATION: Increase 5 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0074)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n\nPerformance:\n  Mass: 440.14 kg\n  Factor of Safety: 0.95\n  Max Deflection: 7.83e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.1396634897482,
      "fos_buckling": 0.9464616386708236,
      "fos_yielding": 7.3595480898470145,
      "deflection": 0.00782862657914387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.610)"
      },
      "parent_node_id": "node_1511",
      "improvement_over_parent": null
    },
    "node_1513": {
      "node_id": "node_1513",
      "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0074)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n\nPerformance:\n  Mass: 441.37 kg\n  Factor of Safety: 0.97\n  Max Deflection: 7.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 441.36568017502384,
      "fos_buckling": 0.968449347951701,
      "fos_yielding": 8.426403504542112,
      "deflection": 0.007721706361460282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.182)"
      },
      "parent_node_id": "node_1512",
      "improvement_over_parent": null
    },
    "node_1514": {
      "node_id": "node_1514",
      "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0074)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0058)]\n\nPerformance:\n  Mass: 445.18 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.51e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.17522519940167,
      "fos_buckling": 0.9957184581054448,
      "fos_yielding": 11.74166830010826,
      "deflection": 0.007514703364015301,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.497)"
      },
      "parent_node_id": "node_1513",
      "improvement_over_parent": null
    },
    "node_1515": {
      "node_id": "node_1515",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0087)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0069)]\n\nPerformance:\n  Mass: 517.86 kg\n  Factor of Safety: 1.14\n  Max Deflection: 6.48e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.8622130414179,
      "fos_buckling": 1.141043181284725,
      "fos_yielding": 13.674308747125789,
      "deflection": 0.006483552413011783,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_1514",
      "improvement_over_parent": null
    },
    "node_1516": {
      "node_id": "node_1516",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1515",
      "improvement_over_parent": null
    },
    "node_1517": {
      "node_id": "node_1517",
      "content": "INITIAL DESIGN (Trace 224)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 285.11 kg\n  Factor of Safety: 0.68\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": 285.10531222809186,
      "fos_buckling": 0.6810657401259426,
      "fos_yielding": 7.994952935625329,
      "deflection": 0.011861681901510135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1518": {
      "node_id": "node_1518",
      "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 294.87 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 294.8672452192676,
      "fos_buckling": 0.680641999323424,
      "fos_yielding": 7.98997869074199,
      "deflection": 0.011661055154998807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.335)"
      },
      "parent_node_id": "node_1517",
      "improvement_over_parent": null
    },
    "node_1519": {
      "node_id": "node_1519",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 354.23 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.75e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.2348881051211,
      "fos_buckling": 0.7969119047728289,
      "fos_yielding": 9.560264528861387,
      "deflection": 0.009745497170229012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1518",
      "improvement_over_parent": null
    },
    "node_1520": {
      "node_id": "node_1520",
      "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 366.02 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 366.01830997836777,
      "fos_buckling": 0.7963160858843847,
      "fos_yielding": 9.553116704678185,
      "deflection": 0.009752789905724034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.517)"
      },
      "parent_node_id": "node_1519",
      "improvement_over_parent": null
    },
    "node_1521": {
      "node_id": "node_1521",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 427.45 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.38e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 427.44603553688114,
      "fos_buckling": 0.9059978868407852,
      "fos_yielding": 11.113635944808255,
      "deflection": 0.008383170098753895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1520",
      "improvement_over_parent": null
    },
    "node_1522": {
      "node_id": "node_1522",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 484.29 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.69e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 484.28639954673696,
      "fos_buckling": 1.3962980701711079,
      "fos_yielding": 12.634791954827875,
      "deflection": 0.006691070014427025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008314)"
      },
      "parent_node_id": "node_1521",
      "improvement_over_parent": null
    },
    "node_1523": {
      "node_id": "node_1523",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.87 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.8653460678189,
      "fos_buckling": 1.539001643894654,
      "fos_yielding": 14.286608651640842,
      "deflection": 0.005947748192527028,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 225)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 396.33 kg\n  Factor of Safety: 0.85\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": 396.3280815881614,
      "fos_buckling": 0.8464792172598931,
      "fos_yielding": 10.255626616891885,
      "deflection": 0.011029304745338787,
      "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 all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 485.48 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.4839281570004,
      "fos_buckling": 0.998262601856371,
      "fos_yielding": 12.494883018552997,
      "deflection": 0.009026599165701064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1525",
      "improvement_over_parent": null
    },
    "node_1527": {
      "node_id": "node_1527",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.45 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.45344766655523,
      "fos_buckling": 0.996633162045872,
      "fos_yielding": 12.474487924336204,
      "deflection": 0.007466133625140508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1526",
      "improvement_over_parent": null
    },
    "node_1528": {
      "node_id": "node_1528",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.06 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0562121270582,
      "fos_buckling": 1.537176579217751,
      "fos_yielding": 14.268628684713654,
      "deflection": 0.005956379034325779,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 226)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 412.61 kg\n  Factor of Safety: 0.43\n  Max Deflection: 5.54e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 412.60715337713975,
      "fos_buckling": 0.4282569260068117,
      "fos_yielding": 6.548104077979272,
      "deflection": 55407229153946.5,
      "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 3 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 415.27 kg\n  Factor of Safety: 0.43\n  Max Deflection: 5.54e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.27373210365715,
      "fos_buckling": 0.4282569260068117,
      "fos_yielding": 6.548104077979272,
      "deflection": 55407229153946.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.420)"
      },
      "parent_node_id": "node_1530",
      "improvement_over_parent": null
    },
    "node_1532": {
      "node_id": "node_1532",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8764965641601,
      "fos_buckling": 0.5930887411116433,
      "fos_yielding": 7.070961803113926,
      "deflection": 0.011030790914236735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1531",
      "improvement_over_parent": null
    },
    "node_1533": {
      "node_id": "node_1533",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2717289975216,
      "fos_buckling": 1.537630745178566,
      "fos_yielding": 14.270121229206564,
      "deflection": 0.005954142853627627,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1532",
      "improvement_over_parent": null
    },
    "node_1534": {
      "node_id": "node_1534",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1533",
      "improvement_over_parent": null
    },
    "node_1535": {
      "node_id": "node_1535",
      "content": "INITIAL DESIGN (Trace 227)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\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_1536": {
      "node_id": "node_1536",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 376.71 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.08e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.7077991992333,
      "fos_buckling": 0.8952877023667712,
      "fos_yielding": 10.952100364903156,
      "deflection": 0.009077204443703829,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007463)"
      },
      "parent_node_id": "node_1535",
      "improvement_over_parent": null
    },
    "node_1537": {
      "node_id": "node_1537",
      "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0133)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 404.18 kg\n  Factor of Safety: 1.16\n  Max Deflection: 8.31e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.1825281812715,
      "fos_buckling": 1.1602663059569087,
      "fos_yielding": 10.93305531028867,
      "deflection": 0.008308715798921777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.425)"
      },
      "parent_node_id": "node_1536",
      "improvement_over_parent": null
    },
    "node_1538": {
      "node_id": "node_1538",
      "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0133)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 415.78 kg\n  Factor of Safety: 1.16\n  Max Deflection: 8.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.7768107377895,
      "fos_buckling": 1.159415492462254,
      "fos_yielding": 10.925038193056151,
      "deflection": 0.0082253559221905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.420)"
      },
      "parent_node_id": "node_1537",
      "improvement_over_parent": null
    },
    "node_1539": {
      "node_id": "node_1539",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0154)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 477.01 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.20e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.01126044632633,
      "fos_buckling": 1.2764649380243573,
      "fos_yielding": 12.49797564076734,
      "deflection": 0.007196752401811786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_1538",
      "improvement_over_parent": null
    },
    "node_1540": {
      "node_id": "node_1540",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0154)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 541.14 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.143913338947,
      "fos_buckling": 1.3602840015095223,
      "fos_yielding": 17.0281990755961,
      "deflection": 0.006030899927709682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1539",
      "improvement_over_parent": null
    },
    "node_1541": {
      "node_id": "node_1541",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0082)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0154)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 544.58 kg\n  Factor of Safety: 1.37\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.5754170815219,
      "fos_buckling": 1.3692569439245652,
      "fos_yielding": 17.140523450188212,
      "deflection": 0.005981438736170231,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.300)"
      },
      "parent_node_id": "node_1540",
      "improvement_over_parent": null
    },
    "node_1542": {
      "node_id": "node_1542",
      "content": "MODIFICATION: Increase 8 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0082)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0242)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 595.93 kg\n  Factor of Safety: 1.37\n  Max Deflection: 5.73e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 595.9269992710499,
      "fos_buckling": 1.3672385162497491,
      "fos_yielding": 17.11525652928909,
      "deflection": 0.005729916187589112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.570)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 228)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 421.84 kg\n  Factor of Safety: 0.87\n  Max Deflection: 8.78e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.8434465087704,
      "fos_buckling": 0.8709748321561008,
      "fos_yielding": 10.607847698659889,
      "deflection": 0.00878060413937381,
      "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 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.66 kg\n  Factor of Safety: 1.00\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": 498.6570975512254,
      "fos_buckling": 0.9969651376195399,
      "fos_yielding": 12.479590756586736,
      "deflection": 0.0074631253562018295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1544",
      "improvement_over_parent": null
    },
    "node_1546": {
      "node_id": "node_1546",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 538.46 kg\n  Factor of Safety: 1.50\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 538.4646248533777,
      "fos_buckling": 1.4993935442472457,
      "fos_yielding": 14.574302481090834,
      "deflection": 0.006014726628500859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007142)"
      },
      "parent_node_id": "node_1545",
      "improvement_over_parent": null
    },
    "node_1547": {
      "node_id": "node_1547",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0066)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 540.31 kg\n  Factor of Safety: 1.50\n  Max Deflection: 5.99e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 540.3078023378982,
      "fos_buckling": 1.5006158928757958,
      "fos_yielding": 14.474493143804308,
      "deflection": 0.00599377371297719,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.215)"
      },
      "parent_node_id": "node_1546",
      "improvement_over_parent": null
    },
    "node_1548": {
      "node_id": "node_1548",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1547",
      "improvement_over_parent": null
    },
    "node_1549": {
      "node_id": "node_1549",
      "content": "INITIAL DESIGN (Trace 229)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n\nPerformance:\n  Mass: 242.94 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.07e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.93882183567644,
      "fos_buckling": 0.3446753348227371,
      "fos_yielding": 3.8165102965450957,
      "deflection": 0.020687902845563554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1550": {
      "node_id": "node_1550",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 287.01 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 287.00561865270635,
      "fos_buckling": 0.739637108443279,
      "fos_yielding": 7.502078957985747,
      "deflection": 0.011200561149241018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005470)"
      },
      "parent_node_id": "node_1549",
      "improvement_over_parent": null
    },
    "node_1551": {
      "node_id": "node_1551",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 375.13 kg\n  Factor of Safety: 0.94\n  Max Deflection: 8.62e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 375.13411744750596,
      "fos_buckling": 0.9413874219406486,
      "fos_yielding": 9.725596672377678,
      "deflection": 0.008615425171776181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1550",
      "improvement_over_parent": null
    },
    "node_1552": {
      "node_id": "node_1552",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 477.35 kg\n  Factor of Safety: 1.16\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.3528225279937,
      "fos_buckling": 1.1613008360241401,
      "fos_yielding": 12.264706018621697,
      "deflection": 0.006812559221421773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1551",
      "improvement_over_parent": null
    },
    "node_1553": {
      "node_id": "node_1553",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 479.99 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.75e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.99076657952537,
      "fos_buckling": 1.3861625370427586,
      "fos_yielding": 12.520881879007261,
      "deflection": 0.0067493367534528755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.490)"
      },
      "parent_node_id": "node_1552",
      "improvement_over_parent": null
    },
    "node_1554": {
      "node_id": "node_1554",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3937276236105,
      "fos_buckling": 1.5379235105063847,
      "fos_yielding": 14.273377880234007,
      "deflection": 0.005952830012700004,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1553",
      "improvement_over_parent": null
    },
    "node_1555": {
      "node_id": "node_1555",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1554",
      "improvement_over_parent": null
    },
    "node_1556": {
      "node_id": "node_1556",
      "content": "INITIAL DESIGN (Trace 230)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 401.56 kg\n  Factor of Safety: 1.03\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 401.55802757503596,
      "fos_buckling": 1.0344017291393373,
      "fos_yielding": 10.316446786232174,
      "deflection": 0.008135307668461187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1557": {
      "node_id": "node_1557",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 467.64 kg\n  Factor of Safety: 1.18\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.636052872022,
      "fos_buckling": 1.1824033453064184,
      "fos_yielding": 12.033085845765147,
      "deflection": 0.0070121184355285094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_1556",
      "improvement_over_parent": null
    },
    "node_1558": {
      "node_id": "node_1558",
      "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 484.84 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 484.83695417826334,
      "fos_buckling": 1.3975181987927539,
      "fos_yielding": 12.648383349841563,
      "deflection": 0.006683755433488878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.328)"
      },
      "parent_node_id": "node_1557",
      "improvement_over_parent": null
    },
    "node_1559": {
      "node_id": "node_1559",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.17 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1713424097189,
      "fos_buckling": 1.5373906256517493,
      "fos_yielding": 14.267242777020781,
      "deflection": 0.005955111813813033,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_1558",
      "improvement_over_parent": null
    },
    "node_1560": {
      "node_id": "node_1560",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1559",
      "improvement_over_parent": null
    },
    "node_1561": {
      "node_id": "node_1561",
      "content": "INITIAL DESIGN (Trace 231)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0035)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0035)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0025)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n\nPerformance:\n  Mass: 217.55 kg\n  Factor of Safety: 0.48\n  Max Deflection: 2.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.5508890550141,
      "fos_buckling": 0.4794739233216433,
      "fos_yielding": 5.438471944251337,
      "deflection": 0.02106510439708567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1562": {
      "node_id": "node_1562",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0033)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 284.27 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 284.26893903650193,
      "fos_buckling": 0.6115593376153565,
      "fos_yielding": 7.087566108696595,
      "deflection": 0.016161996261409434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_1561",
      "improvement_over_parent": null
    },
    "node_1563": {
      "node_id": "node_1563",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 325.23 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 325.2325849036866,
      "fos_buckling": 0.6892242808352688,
      "fos_yielding": 8.09572037029864,
      "deflection": 0.014148409985040045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1562",
      "improvement_over_parent": null
    },
    "node_1564": {
      "node_id": "node_1564",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 378.95 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.9515123859052,
      "fos_buckling": 0.7871402801570289,
      "fos_yielding": 9.412766161289435,
      "deflection": 0.012167705971267786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1563",
      "improvement_over_parent": null
    },
    "node_1565": {
      "node_id": "node_1565",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 436.61 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.60712591593585,
      "fos_buckling": 0.88729865496318,
      "fos_yielding": 10.819974826946565,
      "deflection": 0.010584271403951098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_1564",
      "improvement_over_parent": null
    },
    "node_1566": {
      "node_id": "node_1566",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n\nPerformance:\n  Mass: 447.69 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.68774352237256,
      "fos_buckling": 1.2727138450196216,
      "fos_yielding": 12.884520001996146,
      "deflection": 0.00714882709120149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005287)"
      },
      "parent_node_id": "node_1565",
      "improvement_over_parent": null
    },
    "node_1567": {
      "node_id": "node_1567",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 524.54 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.5448187516043,
      "fos_buckling": 1.4468305266364498,
      "fos_yielding": 15.10352374840967,
      "deflection": 0.006129931007984762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1566",
      "improvement_over_parent": null
    },
    "node_1568": {
      "node_id": "node_1568",
      "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0167)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 563.31 kg\n  Factor of Safety: 1.55\n  Max Deflection: 5.74e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 563.309220668933,
      "fos_buckling": 1.54629779334542,
      "fos_yielding": 16.05639483245459,
      "deflection": 0.005743911177231969,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.541)"
      },
      "parent_node_id": "node_1567",
      "improvement_over_parent": null
    },
    "node_1569": {
      "node_id": "node_1569",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1568",
      "improvement_over_parent": null
    },
    "node_1570": {
      "node_id": "node_1570",
      "content": "INITIAL DESIGN (Trace 232)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 373.26 kg\n  Factor of Safety: 1.02\n  Max Deflection: 8.61e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.25914543968935,
      "fos_buckling": 1.0191652138654812,
      "fos_yielding": 10.474463562671723,
      "deflection": 0.00860556814915794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1571": {
      "node_id": "node_1571",
      "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 381.58 kg\n  Factor of Safety: 1.02\n  Max Deflection: 8.46e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 381.5818870714108,
      "fos_buckling": 1.0226865984280291,
      "fos_yielding": 10.11452897084542,
      "deflection": 0.008461965721398094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.353)"
      },
      "parent_node_id": "node_1570",
      "improvement_over_parent": null
    },
    "node_1572": {
      "node_id": "node_1572",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 442.60 kg\n  Factor of Safety: 1.16\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": 442.5962612776947,
      "fos_buckling": 1.1624120094868942,
      "fos_yielding": 11.746528471300532,
      "deflection": 0.007322489412291332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1571",
      "improvement_over_parent": null
    },
    "node_1573": {
      "node_id": "node_1573",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.41 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.4125566958859,
      "fos_buckling": 1.3798036448413233,
      "fos_yielding": 14.451787606347999,
      "deflection": 0.006000360405541616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1572",
      "improvement_over_parent": null
    },
    "node_1574": {
      "node_id": "node_1574",
      "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.81 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8112880616053,
      "fos_buckling": 1.5366340553304454,
      "fos_yielding": 14.25882900571005,
      "deflection": 0.005958891445571462,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.364)"
      },
      "parent_node_id": "node_1573",
      "improvement_over_parent": null
    },
    "node_1575": {
      "node_id": "node_1575",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1574",
      "improvement_over_parent": null
    },
    "node_1576": {
      "node_id": "node_1576",
      "content": "INITIAL DESIGN (Trace 233)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\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_1577": {
      "node_id": "node_1577",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 295.71 kg\n  Factor of Safety: 0.22\n  Max Deflection: 8.65e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 295.7085728351103,
      "fos_buckling": 0.22277993941201676,
      "fos_yielding": 3.4737982288650353,
      "deflection": 86504103843062.67,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006590)"
      },
      "parent_node_id": "node_1576",
      "improvement_over_parent": null
    },
    "node_1578": {
      "node_id": "node_1578",
      "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 309.45 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.79e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 309.4461767599091,
      "fos_buckling": 0.44767079486283456,
      "fos_yielding": 3.6178929537148625,
      "deflection": 17855118205112.465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.429)"
      },
      "parent_node_id": "node_1577",
      "improvement_over_parent": null
    },
    "node_1579": {
      "node_id": "node_1579",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 359.22 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 359.2159024217332,
      "fos_buckling": 0.48193770883370846,
      "fos_yielding": 5.54463322495113,
      "deflection": 0.014125506741760958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007204)"
      },
      "parent_node_id": "node_1578",
      "improvement_over_parent": null
    },
    "node_1580": {
      "node_id": "node_1580",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 423.94 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.93559130310217,
      "fos_buckling": 1.2506582494587002,
      "fos_yielding": 11.04507731050934,
      "deflection": 0.007615908661294882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008215)"
      },
      "parent_node_id": "node_1579",
      "improvement_over_parent": null
    },
    "node_1581": {
      "node_id": "node_1581",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.74 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.7425659343407,
      "fos_buckling": 1.5386745264027737,
      "fos_yielding": 14.282235939649883,
      "deflection": 0.005949126737134719,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1580",
      "improvement_over_parent": null
    },
    "node_1582": {
      "node_id": "node_1582",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1581",
      "improvement_over_parent": null
    },
    "node_1583": {
      "node_id": "node_1583",
      "content": "INITIAL DESIGN (Trace 234)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 315.50 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.4969661710546,
      "fos_buckling": 0.5841870417638351,
      "fos_yielding": 7.152025345378268,
      "deflection": 0.01231700131227957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1584": {
      "node_id": "node_1584",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 327.81 kg\n  Factor of Safety: 0.58\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": 327.8141312528742,
      "fos_buckling": 0.5837293793451246,
      "fos_yielding": 7.14642232274298,
      "deflection": 0.012129705674438761,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.376)"
      },
      "parent_node_id": "node_1583",
      "improvement_over_parent": null
    },
    "node_1585": {
      "node_id": "node_1585",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 364.23 kg\n  Factor of Safety: 0.64\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": 364.2341965820728,
      "fos_buckling": 0.6417346053553799,
      "fos_yielding": 7.936337796428704,
      "deflection": 0.010931527912511212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1584",
      "improvement_over_parent": null
    },
    "node_1586": {
      "node_id": "node_1586",
      "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 375.66 kg\n  Factor of Safety: 0.64\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": 375.66134433489907,
      "fos_buckling": 0.6412695867383561,
      "fos_yielding": 7.930586906893479,
      "deflection": 0.010199082160107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.314)"
      },
      "parent_node_id": "node_1585",
      "improvement_over_parent": null
    },
    "node_1587": {
      "node_id": "node_1587",
      "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 394.25 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.24713110139044,
      "fos_buckling": 0.8475214910997705,
      "fos_yielding": 10.266970006185533,
      "deflection": 0.009071367064277037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.403)"
      },
      "parent_node_id": "node_1586",
      "improvement_over_parent": null
    },
    "node_1588": {
      "node_id": "node_1588",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 446.67 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 446.6726831471759,
      "fos_buckling": 1.3064952068361722,
      "fos_yielding": 11.64089948288264,
      "deflection": 0.007238548387859176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007618)"
      },
      "parent_node_id": "node_1587",
      "improvement_over_parent": null
    },
    "node_1589": {
      "node_id": "node_1589",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.33 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3325456173243,
      "fos_buckling": 1.5378391999373695,
      "fos_yielding": 14.268701418445929,
      "deflection": 0.005953744650300215,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1588",
      "improvement_over_parent": null
    },
    "node_1590": {
      "node_id": "node_1590",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1589",
      "improvement_over_parent": null
    },
    "node_1591": {
      "node_id": "node_1591",
      "content": "INITIAL DESIGN (Trace 235)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_1592": {
      "node_id": "node_1592",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 469.18 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.1774015528813,
      "fos_buckling": 0.9996689911428909,
      "fos_yielding": 12.513529122461316,
      "deflection": 0.009049992278978168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1591",
      "improvement_over_parent": null
    },
    "node_1593": {
      "node_id": "node_1593",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 482.15 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.14692106243615,
      "fos_buckling": 0.9980355787130479,
      "fos_yielding": 12.493082600471608,
      "deflection": 0.007457270140576672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1592",
      "improvement_over_parent": null
    },
    "node_1594": {
      "node_id": "node_1594",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2795739550568,
      "fos_buckling": 1.5377027894170479,
      "fos_yielding": 14.270214928086874,
      "deflection": 0.005954028359191444,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 236)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n\nPerformance:\n  Mass: 216.34 kg\n  Factor of Safety: 0.26\n  Max Deflection: 7.96e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.34305312725007,
      "fos_buckling": 0.2566170268308635,
      "fos_yielding": 2.680048635599365,
      "deflection": 79605760858978.62,
      "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 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n\nPerformance:\n  Mass: 257.89 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.70e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.8913922127599,
      "fos_buckling": 0.22798965866612447,
      "fos_yielding": 3.473798228865035,
      "deflection": 46959023690056.91,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_1596",
      "improvement_over_parent": null
    },
    "node_1598": {
      "node_id": "node_1598",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 311.34 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 311.340768959849,
      "fos_buckling": 0.6888546463124475,
      "fos_yielding": 8.098608988385461,
      "deflection": 0.014006448840566585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006701)"
      },
      "parent_node_id": "node_1597",
      "improvement_over_parent": null
    },
    "node_1599": {
      "node_id": "node_1599",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n\nPerformance:\n  Mass: 341.85 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 341.85069448339374,
      "fos_buckling": 0.6945417891955202,
      "fos_yielding": 8.166608032657907,
      "deflection": 0.014033961939928218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005376)"
      },
      "parent_node_id": "node_1598",
      "improvement_over_parent": null
    },
    "node_1600": {
      "node_id": "node_1600",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n\nPerformance:\n  Mass: 350.16 kg\n  Factor of Safety: 1.06\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 350.16202876336337,
      "fos_buckling": 1.061853587474513,
      "fos_yielding": 9.10661125890902,
      "deflection": 0.009179454288458046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003888)"
      },
      "parent_node_id": "node_1599",
      "improvement_over_parent": null
    },
    "node_1601": {
      "node_id": "node_1601",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n\nPerformance:\n  Mass: 433.67 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 433.6739549795317,
      "fos_buckling": 1.2745907675399515,
      "fos_yielding": 11.298719161580578,
      "deflection": 0.007449390220308745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.256)"
      },
      "parent_node_id": "node_1600",
      "improvement_over_parent": null
    },
    "node_1602": {
      "node_id": "node_1602",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2575037295619,
      "fos_buckling": 1.5375003518850845,
      "fos_yielding": 14.266407880667016,
      "deflection": 0.005954324537528504,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_1601",
      "improvement_over_parent": null
    },
    "node_1603": {
      "node_id": "node_1603",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1602",
      "improvement_over_parent": null
    },
    "node_1604": {
      "node_id": "node_1604",
      "content": "INITIAL DESIGN (Trace 237)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_1605": {
      "node_id": "node_1605",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.51 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.42e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.50740016186364,
      "fos_buckling": 0.9992718341890922,
      "fos_yielding": 8.538952345574147,
      "deflection": 0.008417176439295541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1604",
      "improvement_over_parent": null
    },
    "node_1606": {
      "node_id": "node_1606",
      "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.19 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.18934729794967,
      "fos_buckling": 0.9980329340281079,
      "fos_yielding": 12.501686838361449,
      "deflection": 0.0074558500103784064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.511)"
      },
      "parent_node_id": "node_1605",
      "improvement_over_parent": null
    },
    "node_1607": {
      "node_id": "node_1607",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.32 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3220001905703,
      "fos_buckling": 1.5375212510017244,
      "fos_yielding": 14.271442778886476,
      "deflection": 0.005953445643811202,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1606",
      "improvement_over_parent": null
    },
    "node_1608": {
      "node_id": "node_1608",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1607",
      "improvement_over_parent": null
    },
    "node_1609": {
      "node_id": "node_1609",
      "content": "INITIAL DESIGN (Trace 238)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0032)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 268.63 kg\n  Factor of Safety: 0.84\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": 268.62928371057956,
      "fos_buckling": 0.8447522107391602,
      "fos_yielding": 6.718430547701429,
      "deflection": 0.011724035132715808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1610": {
      "node_id": "node_1610",
      "content": "MODIFICATION: Increase 8 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0032)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 280.89 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 280.89152447769146,
      "fos_buckling": 0.8296078996240042,
      "fos_yielding": 6.29808535174866,
      "deflection": 0.011394705206115897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.575)"
      },
      "parent_node_id": "node_1609",
      "improvement_over_parent": null
    },
    "node_1611": {
      "node_id": "node_1611",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 341.26 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.41e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 341.25604946970327,
      "fos_buckling": 0.996276562857743,
      "fos_yielding": 7.673237361173967,
      "deflection": 0.009411992778873949,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1610",
      "improvement_over_parent": null
    },
    "node_1612": {
      "node_id": "node_1612",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 444.57 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.56618584496886,
      "fos_buckling": 1.253282594503044,
      "fos_yielding": 10.046100989261232,
      "deflection": 0.007267981807048148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1611",
      "improvement_over_parent": null
    },
    "node_1613": {
      "node_id": "node_1613",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 521.73 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 521.7322852760823,
      "fos_buckling": 1.4269603336683852,
      "fos_yielding": 11.835313331798154,
      "deflection": 0.006220493657509081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_1612",
      "improvement_over_parent": null
    },
    "node_1614": {
      "node_id": "node_1614",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 524.87 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.8744175733856,
      "fos_buckling": 1.4467453461212432,
      "fos_yielding": 15.108762664180889,
      "deflection": 0.0061262860450664374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.351)"
      },
      "parent_node_id": "node_1613",
      "improvement_over_parent": null
    },
    "node_1615": {
      "node_id": "node_1615",
      "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.289811155002,
      "fos_buckling": 1.5377155062690928,
      "fos_yielding": 14.268696490032125,
      "deflection": 0.005953773687315378,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.550)"
      },
      "parent_node_id": "node_1614",
      "improvement_over_parent": null
    },
    "node_1616": {
      "node_id": "node_1616",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1615",
      "improvement_over_parent": null
    },
    "node_1617": {
      "node_id": "node_1617",
      "content": "INITIAL DESIGN (Trace 239)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 291.96 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 291.95844762602496,
      "fos_buckling": 0.6793932889505103,
      "fos_yielding": 6.95710503412721,
      "deflection": 0.012583179905450659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1618": {
      "node_id": "node_1618",
      "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 303.17 kg\n  Factor of Safety: 0.68\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": 303.17417607178237,
      "fos_buckling": 0.682862640508368,
      "fos_yielding": 7.566215054407704,
      "deflection": 0.012138609129607935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.422)"
      },
      "parent_node_id": "node_1617",
      "improvement_over_parent": null
    },
    "node_1619": {
      "node_id": "node_1619",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 340.56 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 340.5596204003282,
      "fos_buckling": 0.7549489090668469,
      "fos_yielding": 8.476960246980655,
      "deflection": 0.010830825669849511,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1618",
      "improvement_over_parent": null
    },
    "node_1620": {
      "node_id": "node_1620",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 384.71 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.61e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.7120718231227,
      "fos_buckling": 0.8367477688287366,
      "fos_yielding": 9.547523452347411,
      "deflection": 0.00961365207671018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_1619",
      "improvement_over_parent": null
    },
    "node_1621": {
      "node_id": "node_1621",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n\nPerformance:\n  Mass: 423.04 kg\n  Factor of Safety: 0.96\n  Max Deflection: 7.76e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.0433927285519,
      "fos_buckling": 0.9582612861652994,
      "fos_yielding": 10.00087888261812,
      "deflection": 0.007761711824629322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006857)"
      },
      "parent_node_id": "node_1620",
      "improvement_over_parent": null
    },
    "node_1622": {
      "node_id": "node_1622",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 525.87 kg\n  Factor of Safety: 1.16\n  Max Deflection: 6.28e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 525.8732075903781,
      "fos_buckling": 1.1571057803639038,
      "fos_yielding": 12.351287600041577,
      "deflection": 0.006280485917248821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_1621",
      "improvement_over_parent": null
    },
    "node_1623": {
      "node_id": "node_1623",
      "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0167)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 565.02 kg\n  Factor of Safety: 1.15\n  Max Deflection: 5.94e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 565.0157658758238,
      "fos_buckling": 1.1470513438477132,
      "fos_yielding": 12.243963585958118,
      "deflection": 0.005935359041639248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.546)"
      },
      "parent_node_id": "node_1622",
      "improvement_over_parent": null
    },
    "node_1624": {
      "node_id": "node_1624",
      "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0167)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0112)]\n\nPerformance:\n  Mass: 577.08 kg\n  Factor of Safety: 1.15\n  Max Deflection: 5.89e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 577.0823867214172,
      "fos_buckling": 1.1486897403665182,
      "fos_yielding": 12.261452312529254,
      "deflection": 0.005885799835639676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.287)"
      },
      "parent_node_id": "node_1623",
      "improvement_over_parent": null
    },
    "node_1625": {
      "node_id": "node_1625",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1624",
      "improvement_over_parent": null
    },
    "node_1626": {
      "node_id": "node_1626",
      "content": "INITIAL DESIGN (Trace 240)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 383.45 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.20e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.44766325530907,
      "fos_buckling": 0.42776034851691724,
      "fos_yielding": 5.558077166184055,
      "deflection": 12023990859940.092,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1627": {
      "node_id": "node_1627",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 396.42 kg\n  Factor of Safety: 0.32\n  Max Deflection: 5.12e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 396.4171827648639,
      "fos_buckling": 0.32082026138768793,
      "fos_yielding": 4.257488967416361,
      "deflection": 51211764790490.07,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1626",
      "improvement_over_parent": null
    },
    "node_1628": {
      "node_id": "node_1628",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 460.55 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.54983565748455,
      "fos_buckling": 0.5930545894908924,
      "fos_yielding": 7.075371638495066,
      "deflection": 0.01106194033778015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1627",
      "improvement_over_parent": null
    },
    "node_1629": {
      "node_id": "node_1629",
      "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.88049698612656,
      "fos_buckling": 0.5930545894908922,
      "fos_yielding": 7.075371638495063,
      "deflection": 0.011030311586539268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.350)"
      },
      "parent_node_id": "node_1628",
      "improvement_over_parent": null
    },
    "node_1630": {
      "node_id": "node_1630",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.275729419488,
      "fos_buckling": 1.5376638795682052,
      "fos_yielding": 14.270146041417915,
      "deflection": 0.0059540611745384,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1629",
      "improvement_over_parent": null
    },
    "node_1631": {
      "node_id": "node_1631",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1630",
      "improvement_over_parent": null
    },
    "node_1632": {
      "node_id": "node_1632",
      "content": "INITIAL DESIGN (Trace 241)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 251.05 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.73e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.04520093959852,
      "fos_buckling": 0.4529849419113721,
      "fos_yielding": 3.6178929537148625,
      "deflection": 17306537278280.385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1633": {
      "node_id": "node_1633",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 313.07 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.47e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 313.07355768459087,
      "fos_buckling": 0.7337818625943864,
      "fos_yielding": 7.235785907429725,
      "deflection": 14665972022985.943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_1632",
      "improvement_over_parent": null
    },
    "node_1634": {
      "node_id": "node_1634",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 386.62 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 386.6229511599349,
      "fos_buckling": 0.9043090094317827,
      "fos_yielding": 11.083790360304276,
      "deflection": 0.010386462037708988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009430)"
      },
      "parent_node_id": "node_1633",
      "improvement_over_parent": null
    },
    "node_1635": {
      "node_id": "node_1635",
      "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0119)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 404.31 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.85e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.3113349006683,
      "fos_buckling": 0.9033041965930402,
      "fos_yielding": 11.07138023018978,
      "deflection": 0.009850915546406642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.267)"
      },
      "parent_node_id": "node_1634",
      "improvement_over_parent": null
    },
    "node_1636": {
      "node_id": "node_1636",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0119)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 446.29 kg\n  Factor of Safety: 1.08\n  Max Deflection: 7.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 446.2926528339525,
      "fos_buckling": 1.0757173660617643,
      "fos_yielding": 11.042037186900686,
      "deflection": 0.00788700321454277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007565)"
      },
      "parent_node_id": "node_1635",
      "improvement_over_parent": null
    },
    "node_1637": {
      "node_id": "node_1637",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0119)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 488.27 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 488.2739707672367,
      "fos_buckling": 1.395752427873871,
      "fos_yielding": 13.421242891357318,
      "deflection": 0.006579296566944326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007565)"
      },
      "parent_node_id": "node_1636",
      "improvement_over_parent": null
    },
    "node_1638": {
      "node_id": "node_1638",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0137)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 553.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.83e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 553.3806669190819,
      "fos_buckling": 1.5433505359052573,
      "fos_yielding": 15.2246033968868,
      "deflection": 0.005828115089708364,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_1637",
      "improvement_over_parent": null
    },
    "node_1639": {
      "node_id": "node_1639",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1638",
      "improvement_over_parent": null
    },
    "node_1640": {
      "node_id": "node_1640",
      "content": "INITIAL DESIGN (Trace 242)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 449.91 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.91098866805737,
      "fos_buckling": 0.5085396353008689,
      "fos_yielding": 6.365732650152463,
      "deflection": 0.03164091842367361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1641": {
      "node_id": "node_1641",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 515.73 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.68e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 515.7311150319642,
      "fos_buckling": 0.8537303305436115,
      "fos_yielding": 10.91474271437979,
      "deflection": 0.009679481733790088,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008365)"
      },
      "parent_node_id": "node_1640",
      "improvement_over_parent": null
    },
    "node_1642": {
      "node_id": "node_1642",
      "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0123)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 532.37 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.3683732374706,
      "fos_buckling": 0.8548077166685788,
      "fos_yielding": 10.92851684414577,
      "deflection": 0.009678675531192199,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.294)"
      },
      "parent_node_id": "node_1641",
      "improvement_over_parent": null
    },
    "node_1643": {
      "node_id": "node_1643",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0123)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 545.34 kg\n  Factor of Safety: 1.38\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": 545.3378927470254,
      "fos_buckling": 1.3761514958587262,
      "fos_yielding": 13.295846104053664,
      "deflection": 0.006113258561122244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1642",
      "improvement_over_parent": null
    },
    "node_1644": {
      "node_id": "node_1644",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1643",
      "improvement_over_parent": null
    },
    "node_1645": {
      "node_id": "node_1645",
      "content": "INITIAL DESIGN (Trace 243)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 262.56 kg\n  Factor of Safety: 0.28\n  Max Deflection: 2.62e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 262.55984072521437,
      "fos_buckling": 0.2808479419068648,
      "fos_yielding": 2.1421322553096576,
      "deflection": 0.026174600107520013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1646": {
      "node_id": "node_1646",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 298.76 kg\n  Factor of Safety: 0.32\n  Max Deflection: 2.30e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 298.75699537541095,
      "fos_buckling": 0.3172971323195499,
      "fos_yielding": 2.4446991562729457,
      "deflection": 0.023029683063888532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_1645",
      "improvement_over_parent": null
    },
    "node_1647": {
      "node_id": "node_1647",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 365.25 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 365.25061420319525,
      "fos_buckling": 0.4934366386535568,
      "fos_yielding": 3.8653373877137773,
      "deflection": 0.014660265445116746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008457)"
      },
      "parent_node_id": "node_1646",
      "improvement_over_parent": null
    },
    "node_1648": {
      "node_id": "node_1648",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 431.74 kg\n  Factor of Safety: 0.98\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": 431.74423303097956,
      "fos_buckling": 0.9754132084203813,
      "fos_yielding": 7.5153274478423935,
      "deflection": 0.007665374668597235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008457)"
      },
      "parent_node_id": "node_1647",
      "improvement_over_parent": null
    },
    "node_1649": {
      "node_id": "node_1649",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 541.53 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.15e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.5262940740107,
      "fos_buckling": 1.2078751817247215,
      "fos_yielding": 9.511635562476958,
      "deflection": 0.006146576960274838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_1648",
      "improvement_over_parent": null
    },
    "node_1650": {
      "node_id": "node_1650",
      "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.41 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4091864775104,
      "fos_buckling": 1.5377702759913492,
      "fos_yielding": 14.280206858687944,
      "deflection": 0.005952667220919354,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.661)"
      },
      "parent_node_id": "node_1649",
      "improvement_over_parent": null
    },
    "node_1651": {
      "node_id": "node_1651",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1650",
      "improvement_over_parent": null
    },
    "node_1652": {
      "node_id": "node_1652",
      "content": "INITIAL DESIGN (Trace 244)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n\nPerformance:\n  Mass: 344.47 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.4674423890767,
      "fos_buckling": 0.4651267984555962,
      "fos_yielding": 5.324538880250313,
      "deflection": 0.01471696034834732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1653": {
      "node_id": "node_1653",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 417.11 kg\n  Factor of Safety: 0.55\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": 417.106532164548,
      "fos_buckling": 0.545491263603719,
      "fos_yielding": 6.403202632354344,
      "deflection": 0.012207232168028723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_1652",
      "improvement_over_parent": null
    },
    "node_1654": {
      "node_id": "node_1654",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 463.03 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.03107480618985,
      "fos_buckling": 0.5932074933453501,
      "fos_yielding": 7.077577204107506,
      "deflection": 0.011026805056008965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_1653",
      "improvement_over_parent": null
    },
    "node_1655": {
      "node_id": "node_1655",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4263072395513,
      "fos_buckling": 1.5377545000996706,
      "fos_yielding": 14.273706409078686,
      "deflection": 0.005952533825678439,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1654",
      "improvement_over_parent": null
    },
    "node_1656": {
      "node_id": "node_1656",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1655",
      "improvement_over_parent": null
    },
    "node_1657": {
      "node_id": "node_1657",
      "content": "INITIAL DESIGN (Trace 245)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 383.12 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.12451830017915,
      "fos_buckling": 0.8908325378255374,
      "fos_yielding": 6.933710550994856,
      "deflection": 0.01034025031934595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1658": {
      "node_id": "node_1658",
      "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 402.58 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.99e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.58421844241565,
      "fos_buckling": 0.8897351077719148,
      "fos_yielding": 10.873210951019365,
      "deflection": 0.008985861660677648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.616)"
      },
      "parent_node_id": "node_1657",
      "improvement_over_parent": null
    },
    "node_1659": {
      "node_id": "node_1659",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 465.24 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 465.2403187847156,
      "fos_buckling": 0.9992584105937401,
      "fos_yielding": 12.506860521053117,
      "deflection": 0.007806882218627987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1658",
      "improvement_over_parent": null
    },
    "node_1660": {
      "node_id": "node_1660",
      "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 478.79 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 478.79132402981327,
      "fos_buckling": 0.9984052575767729,
      "fos_yielding": 12.496182336438205,
      "deflection": 0.00781302987764793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.294)"
      },
      "parent_node_id": "node_1659",
      "improvement_over_parent": null
    },
    "node_1661": {
      "node_id": "node_1661",
      "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.74 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.74415917658365,
      "fos_buckling": 0.9971517024003814,
      "fos_yielding": 12.480492661394832,
      "deflection": 0.007462076413050895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.522)"
      },
      "parent_node_id": "node_1660",
      "improvement_over_parent": null
    },
    "node_1662": {
      "node_id": "node_1662",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.35 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3469236370867,
      "fos_buckling": 1.5379638458100608,
      "fos_yielding": 14.27150660337811,
      "deflection": 0.005953432875166872,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 246)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0037)]\n\nPerformance:\n  Mass: 336.36 kg\n  Factor of Safety: 0.75\n  Max Deflection: 9.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 336.3641491086081,
      "fos_buckling": 0.7483024296439632,
      "fos_yielding": 8.909986894582163,
      "deflection": 0.009927031435597537,
      "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 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n\nPerformance:\n  Mass: 344.97 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.45e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.9685614993616,
      "fos_buckling": 0.8758249059654194,
      "fos_yielding": 9.408229926570824,
      "deflection": 0.00944870526451543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.294)"
      },
      "parent_node_id": "node_1664",
      "improvement_over_parent": null
    },
    "node_1666": {
      "node_id": "node_1666",
      "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n\nPerformance:\n  Mass: 354.91 kg\n  Factor of Safety: 0.87\n  Max Deflection: 9.26e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.90801563195055,
      "fos_buckling": 0.8727587127564508,
      "fos_yielding": 9.026251104352715,
      "deflection": 0.009261369173115541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.468)"
      },
      "parent_node_id": "node_1665",
      "improvement_over_parent": null
    },
    "node_1667": {
      "node_id": "node_1667",
      "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 372.79 kg\n  Factor of Safety: 1.12\n  Max Deflection: 8.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.79159991172946,
      "fos_buckling": 1.1211008753917815,
      "fos_yielding": 9.702893717432667,
      "deflection": 0.008633850373658701,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.486)"
      },
      "parent_node_id": "node_1666",
      "improvement_over_parent": null
    },
    "node_1668": {
      "node_id": "node_1668",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 416.67 kg\n  Factor of Safety: 1.23\n  Max Deflection: 7.75e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.6747992419685,
      "fos_buckling": 1.232620014445393,
      "fos_yielding": 10.855261465207755,
      "deflection": 0.0077451243993916525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_1667",
      "improvement_over_parent": null
    },
    "node_1669": {
      "node_id": "node_1669",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 490.36 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.61e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 490.3595352317301,
      "fos_buckling": 1.410469942902843,
      "fos_yielding": 12.795092081734762,
      "deflection": 0.006610639850899466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_1668",
      "improvement_over_parent": null
    },
    "node_1670": {
      "node_id": "node_1670",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.14 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1395924038228,
      "fos_buckling": 1.5373471904185045,
      "fos_yielding": 14.267643732322249,
      "deflection": 0.005955410204798788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_1669",
      "improvement_over_parent": null
    },
    "node_1671": {
      "node_id": "node_1671",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1670",
      "improvement_over_parent": null
    },
    "node_1672": {
      "node_id": "node_1672",
      "content": "INITIAL DESIGN (Trace 247)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 309.57 kg\n  Factor of Safety: 0.02\n  Max Deflection: 9.00e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 309.56953641545,
      "fos_buckling": 0.020267718359316466,
      "fos_yielding": 0.22547635198727561,
      "deflection": 899938721832331.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1673": {
      "node_id": "node_1673",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 342.05 kg\n  Factor of Safety: 0.76\n  Max Deflection: 3.54e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 342.04725754742685,
      "fos_buckling": 0.7591119970712958,
      "fos_yielding": 13.100623142056984,
      "deflection": 35397268472617.65,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_1672",
      "improvement_over_parent": null
    },
    "node_1674": {
      "node_id": "node_1674",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 389.65 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.44e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 389.6500220079298,
      "fos_buckling": 0.8565209360150806,
      "fos_yielding": 13.89519291546014,
      "deflection": 14444405948861.834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1673",
      "improvement_over_parent": null
    },
    "node_1675": {
      "node_id": "node_1675",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 453.78 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 453.78267490055043,
      "fos_buckling": 0.5935590823080481,
      "fos_yielding": 7.081742650852066,
      "deflection": 0.011188710486890234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1674",
      "improvement_over_parent": null
    },
    "node_1676": {
      "node_id": "node_1676",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.99 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.9922397878481,
      "fos_buckling": 0.593214325206677,
      "fos_yielding": 7.077691391794559,
      "deflection": 0.011028003793047284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.192)"
      },
      "parent_node_id": "node_1675",
      "improvement_over_parent": null
    },
    "node_1677": {
      "node_id": "node_1677",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3874722212096,
      "fos_buckling": 1.537683709804784,
      "fos_yielding": 14.274647318163856,
      "deflection": 0.005952813869544718,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1676",
      "improvement_over_parent": null
    },
    "node_1678": {
      "node_id": "node_1678",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1677",
      "improvement_over_parent": null
    },
    "node_1679": {
      "node_id": "node_1679",
      "content": "INITIAL DESIGN (Trace 248)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 301.18 kg\n  Factor of Safety: 0.80\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": 301.1768132817133,
      "fos_buckling": 0.7958594418404056,
      "fos_yielding": 6.218366232487063,
      "deflection": 0.013502095645497595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1680": {
      "node_id": "node_1680",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 350.11 kg\n  Factor of Safety: 0.90\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": 350.1112812219471,
      "fos_buckling": 0.9021618377396753,
      "fos_yielding": 7.232213968973683,
      "deflection": 0.011648670965520627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1679",
      "improvement_over_parent": null
    },
    "node_1681": {
      "node_id": "node_1681",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 399.21 kg\n  Factor of Safety: 1.00\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": 399.21114508360773,
      "fos_buckling": 1.0025626237334504,
      "fos_yielding": 8.25181299100638,
      "deflection": 0.010245480433783413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_1680",
      "improvement_over_parent": null
    },
    "node_1682": {
      "node_id": "node_1682",
      "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 401.23 kg\n  Factor of Safety: 1.00\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": 401.23455677559974,
      "fos_buckling": 1.0025626237334504,
      "fos_yielding": 8.25181299100638,
      "deflection": 0.010245480433783413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.292)"
      },
      "parent_node_id": "node_1681",
      "improvement_over_parent": null
    },
    "node_1683": {
      "node_id": "node_1683",
      "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 422.38 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 422.3777030598233,
      "fos_buckling": 1.001222314737204,
      "fos_yielding": 12.525224827184665,
      "deflection": 0.009181412898119039,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.570)"
      },
      "parent_node_id": "node_1682",
      "improvement_over_parent": null
    },
    "node_1684": {
      "node_id": "node_1684",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 486.51 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 486.5103559524439,
      "fos_buckling": 0.9971786421716117,
      "fos_yielding": 12.47463875127917,
      "deflection": 0.007463562030874628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1683",
      "improvement_over_parent": null
    },
    "node_1685": {
      "node_id": "node_1685",
      "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0135)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 504.84 kg\n  Factor of Safety: 1.17\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 504.8354253165138,
      "fos_buckling": 1.1669052024285107,
      "fos_yielding": 12.460259410799878,
      "deflection": 0.007020406322554181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.248)"
      },
      "parent_node_id": "node_1684",
      "improvement_over_parent": null
    },
    "node_1686": {
      "node_id": "node_1686",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0135)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 552.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.84e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 552.4381897770168,
      "fos_buckling": 1.5424010317343457,
      "fos_yielding": 15.150028917171982,
      "deflection": 0.005839170004489029,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1685",
      "improvement_over_parent": null
    },
    "node_1687": {
      "node_id": "node_1687",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1686",
      "improvement_over_parent": null
    },
    "node_1688": {
      "node_id": "node_1688",
      "content": "INITIAL DESIGN (Trace 249)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 465.78 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.77e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 465.7812712157688,
      "fos_buckling": 0.8198390530292305,
      "fos_yielding": 10.43036552513753,
      "deflection": 0.009769788020401102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1689": {
      "node_id": "node_1689",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 513.38 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.79e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 513.3840356762718,
      "fos_buckling": 0.8315013552046748,
      "fos_yielding": 10.578738640696047,
      "deflection": 0.009786652944699218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1688",
      "improvement_over_parent": null
    },
    "node_1690": {
      "node_id": "node_1690",
      "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0127)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 532.75 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.79e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.7504776554722,
      "fos_buckling": 0.8328237957872802,
      "fos_yielding": 10.595563331604442,
      "deflection": 0.009785464916641742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.344)"
      },
      "parent_node_id": "node_1689",
      "improvement_over_parent": null
    },
    "node_1691": {
      "node_id": "node_1691",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0127)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 545.72 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.719997165027,
      "fos_buckling": 1.3528548796481925,
      "fos_yielding": 13.156473341787109,
      "deflection": 0.006139643753540679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1690",
      "improvement_over_parent": null
    },
    "node_1692": {
      "node_id": "node_1692",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1691",
      "improvement_over_parent": null
    },
    "node_1693": {
      "node_id": "node_1693",
      "content": "INITIAL DESIGN (Trace 250)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 312.72 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.54e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 312.724178238051,
      "fos_buckling": 0.41476743837454955,
      "fos_yielding": 4.386170910578094,
      "deflection": 0.015422460051406397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1694": {
      "node_id": "node_1694",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 349.93 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 349.9342995281202,
      "fos_buckling": 0.4575992821815734,
      "fos_yielding": 4.900548503693658,
      "deflection": 0.013814940725183203,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1693",
      "improvement_over_parent": null
    },
    "node_1695": {
      "node_id": "node_1695",
      "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 352.02 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.0190722175932,
      "fos_buckling": 0.5487813502732646,
      "fos_yielding": 6.442588114383092,
      "deflection": 0.013469815881917062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.342)"
      },
      "parent_node_id": "node_1694",
      "improvement_over_parent": null
    },
    "node_1696": {
      "node_id": "node_1696",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 390.22 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.21856551094106,
      "fos_buckling": 0.5962361373085954,
      "fos_yielding": 7.112842964289525,
      "deflection": 0.012182620967094262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1695",
      "improvement_over_parent": null
    },
    "node_1697": {
      "node_id": "node_1697",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 399.15 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 399.15100416544874,
      "fos_buckling": 0.5958988882831858,
      "fos_yielding": 7.1088806880570266,
      "deflection": 0.012188694379253911,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.185)"
      },
      "parent_node_id": "node_1696",
      "improvement_over_parent": null
    },
    "node_1698": {
      "node_id": "node_1698",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.28 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.28365705806937,
      "fos_buckling": 0.5934886831136255,
      "fos_yielding": 7.080561656292368,
      "deflection": 0.011020838940699308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1697",
      "improvement_over_parent": null
    },
    "node_1699": {
      "node_id": "node_1699",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6788894914308,
      "fos_buckling": 1.537761384355684,
      "fos_yielding": 14.283954797902728,
      "deflection": 0.005949564525197135,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1698",
      "improvement_over_parent": null
    },
    "node_1700": {
      "node_id": "node_1700",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1699",
      "improvement_over_parent": null
    },
    "node_1701": {
      "node_id": "node_1701",
      "content": "INITIAL DESIGN (Trace 251)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\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_1702": {
      "node_id": "node_1702",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n\nPerformance:\n  Mass: 318.35 kg\n  Factor of Safety: 0.69\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": 318.352319779796,
      "fos_buckling": 0.6856629386695783,
      "fos_yielding": 8.057494864234789,
      "deflection": 0.011560944600587224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005852)"
      },
      "parent_node_id": "node_1701",
      "improvement_over_parent": null
    },
    "node_1703": {
      "node_id": "node_1703",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 396.35 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.33e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 396.34800364516394,
      "fos_buckling": 0.826993360544579,
      "fos_yielding": 9.982641713502877,
      "deflection": 0.00933074691987831,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1702",
      "improvement_over_parent": null
    },
    "node_1704": {
      "node_id": "node_1704",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.87 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.8748616175069,
      "fos_buckling": 0.9973104429171169,
      "fos_yielding": 12.484901682451088,
      "deflection": 0.007459949183257623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_1703",
      "improvement_over_parent": null
    },
    "node_1705": {
      "node_id": "node_1705",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4776260780098,
      "fos_buckling": 1.5381152585383275,
      "fos_yielding": 14.276248355390582,
      "deflection": 0.005951874257977502,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1704",
      "improvement_over_parent": null
    },
    "node_1706": {
      "node_id": "node_1706",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1705",
      "improvement_over_parent": null
    },
    "node_1707": {
      "node_id": "node_1707",
      "content": "INITIAL DESIGN (Trace 252)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 361.24 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.23807616041387,
      "fos_buckling": 0.8308097686658855,
      "fos_yielding": 10.031744321044512,
      "deflection": 0.011322960679968144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1708": {
      "node_id": "node_1708",
      "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 363.79 kg\n  Factor of Safety: 0.83\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": 363.78789302597977,
      "fos_buckling": 0.8308097686658855,
      "fos_yielding": 10.031744321044512,
      "deflection": 0.011322960679968144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.534)"
      },
      "parent_node_id": "node_1707",
      "improvement_over_parent": null
    },
    "node_1709": {
      "node_id": "node_1709",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 414.88 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 414.8754778068018,
      "fos_buckling": 0.8379561579655882,
      "fos_yielding": 10.118034532085716,
      "deflection": 0.011322960679968144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007409)"
      },
      "parent_node_id": "node_1708",
      "improvement_over_parent": null
    },
    "node_1710": {
      "node_id": "node_1710",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 424.80 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.80435641974816,
      "fos_buckling": 0.8382480521725741,
      "fos_yielding": 10.121559054983388,
      "deflection": 0.011322960679968137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.259)"
      },
      "parent_node_id": "node_1709",
      "improvement_over_parent": null
    },
    "node_1711": {
      "node_id": "node_1711",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n\nPerformance:\n  Mass: 435.13 kg\n  Factor of Safety: 1.28\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": 435.13455932128454,
      "fos_buckling": 1.278284875540289,
      "fos_yielding": 11.33929226398311,
      "deflection": 0.007425032079730424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004902)"
      },
      "parent_node_id": "node_1710",
      "improvement_over_parent": null
    },
    "node_1712": {
      "node_id": "node_1712",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.12 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1158207259258,
      "fos_buckling": 1.5373046214701103,
      "fos_yielding": 14.265329843752426,
      "deflection": 0.005955813654241237,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1711",
      "improvement_over_parent": null
    },
    "node_1713": {
      "node_id": "node_1713",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1712",
      "improvement_over_parent": null
    },
    "node_1714": {
      "node_id": "node_1714",
      "content": "INITIAL DESIGN (Trace 253)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 316.73 kg\n  Factor of Safety: 0.49\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": 316.729877824608,
      "fos_buckling": 0.4930484326157482,
      "fos_yielding": 5.688899020408026,
      "deflection": 0.015280905358615381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1715": {
      "node_id": "node_1715",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 354.39 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.3871690941385,
      "fos_buckling": 0.5413330224843751,
      "fos_yielding": 6.341356562072171,
      "deflection": 0.013689007991789277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1714",
      "improvement_over_parent": null
    },
    "node_1716": {
      "node_id": "node_1716",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 398.89 kg\n  Factor of Safety: 0.60\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": 398.8932064131401,
      "fos_buckling": 0.5956373878633435,
      "fos_yielding": 7.106182545201418,
      "deflection": 0.012195122505293903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_1715",
      "improvement_over_parent": null
    },
    "node_1717": {
      "node_id": "node_1717",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.29 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.28843884650155,
      "fos_buckling": 0.9983280685147783,
      "fos_yielding": 12.497573785748665,
      "deflection": 0.0074549837317347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1716",
      "improvement_over_parent": null
    },
    "node_1718": {
      "node_id": "node_1718",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4210917391222,
      "fos_buckling": 1.5377730719669926,
      "fos_yielding": 14.274890238683128,
      "deflection": 0.005952482389168056,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1717",
      "improvement_over_parent": null
    },
    "node_1719": {
      "node_id": "node_1719",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1718",
      "improvement_over_parent": null
    },
    "node_1720": {
      "node_id": "node_1720",
      "content": "INITIAL DESIGN (Trace 254)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 320.04 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.63e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.04176400435995,
      "fos_buckling": 0.22070807523224137,
      "fos_yielding": 3.4737982288650353,
      "deflection": 36265178964445.28,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1721": {
      "node_id": "node_1721",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n\nPerformance:\n  Mass: 326.72 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 326.7189440208706,
      "fos_buckling": 0.5116079401101616,
      "fos_yielding": 5.127103035684607,
      "deflection": 0.015159401729243665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003089)"
      },
      "parent_node_id": "node_1720",
      "improvement_over_parent": null
    },
    "node_1722": {
      "node_id": "node_1722",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 395.90 kg\n  Factor of Safety: 0.86\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.90283160017884,
      "fos_buckling": 0.8582394981190548,
      "fos_yielding": 10.422892582648457,
      "deflection": 0.009007305953552192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008826)"
      },
      "parent_node_id": "node_1721",
      "improvement_over_parent": null
    },
    "node_1723": {
      "node_id": "node_1723",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 477.08 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.51e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.07552636014543,
      "fos_buckling": 0.9983173184461482,
      "fos_yielding": 12.495665063460757,
      "deflection": 0.007511351054811167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1722",
      "improvement_over_parent": null
    },
    "node_1724": {
      "node_id": "node_1724",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 541.21 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.15e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.2081792527661,
      "fos_buckling": 1.2080999701278516,
      "fos_yielding": 9.513669102458048,
      "deflection": 0.0061496587215641545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1723",
      "improvement_over_parent": null
    },
    "node_1725": {
      "node_id": "node_1725",
      "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0090)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.59 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.5921851119409,
      "fos_buckling": 1.1910160128860936,
      "fos_yielding": 9.379134610133354,
      "deflection": 0.006107933434027395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.658)"
      },
      "parent_node_id": "node_1724",
      "improvement_over_parent": null
    },
    "node_1726": {
      "node_id": "node_1726",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1725",
      "improvement_over_parent": null
    },
    "node_1727": {
      "node_id": "node_1727",
      "content": "INITIAL DESIGN (Trace 255)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 280.61 kg\n  Factor of Safety: 0.66\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": 280.61131454059057,
      "fos_buckling": 0.6552529883949425,
      "fos_yielding": 7.65713939933019,
      "deflection": 0.012439214540279561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1728": {
      "node_id": "node_1728",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 319.43 kg\n  Factor of Safety: 0.96\n  Max Deflection: 9.95e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 319.4291135898957,
      "fos_buckling": 0.9597212852011028,
      "fos_yielding": 9.009518979601705,
      "deflection": 0.009946386695426183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005532)"
      },
      "parent_node_id": "node_1727",
      "improvement_over_parent": null
    },
    "node_1729": {
      "node_id": "node_1729",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 390.18 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.18e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.1827106251588,
      "fos_buckling": 1.141278181331072,
      "fos_yielding": 11.012648750479345,
      "deflection": 0.00817825463130749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1728",
      "improvement_over_parent": null
    },
    "node_1730": {
      "node_id": "node_1730",
      "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 403.73 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 403.73230171125834,
      "fos_buckling": 1.2001851670517059,
      "fos_yielding": 10.513580658371938,
      "deflection": 0.007987365237210494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.427)"
      },
      "parent_node_id": "node_1729",
      "improvement_over_parent": null
    },
    "node_1731": {
      "node_id": "node_1731",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 495.51 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.54e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 495.50776965094997,
      "fos_buckling": 1.422483103750393,
      "fos_yielding": 12.928929364493946,
      "deflection": 0.006544159435074668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1730",
      "improvement_over_parent": null
    },
    "node_1732": {
      "node_id": "node_1732",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.90 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.9008154683994,
      "fos_buckling": 1.5390605165231375,
      "fos_yielding": 14.28565538774142,
      "deflection": 0.005947548824356392,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1731",
      "improvement_over_parent": null
    },
    "node_1733": {
      "node_id": "node_1733",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1732",
      "improvement_over_parent": null
    },
    "node_1734": {
      "node_id": "node_1734",
      "content": "INITIAL DESIGN (Trace 256)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (6 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\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_1735": {
      "node_id": "node_1735",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 281.76 kg\n  Factor of Safety: 0.53\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": 281.76047774152016,
      "fos_buckling": 0.5285713928883908,
      "fos_yielding": 6.763645730245061,
      "deflection": 77370522322044.69,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008423)"
      },
      "parent_node_id": "node_1734",
      "improvement_over_parent": null
    },
    "node_1736": {
      "node_id": "node_1736",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n\nPerformance:\n  Mass: 319.57 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.14e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 319.57161901136374,
      "fos_buckling": 0.41679099562040345,
      "fos_yielding": 4.631730971820047,
      "deflection": 21381985458701.812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006757)"
      },
      "parent_node_id": "node_1735",
      "improvement_over_parent": null
    },
    "node_1737": {
      "node_id": "node_1737",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 385.82 kg\n  Factor of Safety: 0.83\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 385.81646621982225,
      "fos_buckling": 0.8276546918960469,
      "fos_yielding": 9.990106804061258,
      "deflection": 0.01132648490719411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008423)"
      },
      "parent_node_id": "node_1736",
      "improvement_over_parent": null
    },
    "node_1738": {
      "node_id": "node_1738",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 485.63 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.62557142983667,
      "fos_buckling": 0.9984745904777677,
      "fos_yielding": 12.498536695937569,
      "deflection": 0.00902405001885501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_1737",
      "improvement_over_parent": null
    },
    "node_1739": {
      "node_id": "node_1739",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.60 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.5950909393915,
      "fos_buckling": 0.996844818575225,
      "fos_yielding": 12.478135812305467,
      "deflection": 0.007464071771536804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1738",
      "improvement_over_parent": null
    },
    "node_1740": {
      "node_id": "node_1740",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1978553998945,
      "fos_buckling": 1.5374876357614693,
      "fos_yielding": 14.269503639347224,
      "deflection": 0.005954899076449281,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 257)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n\nPerformance:\n  Mass: 318.60 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 318.59834266360474,
      "fos_buckling": 0.42460104661191156,
      "fos_yielding": 5.658497980298577,
      "deflection": 0.016181792202241127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1743": {
      "node_id": "node_1743",
      "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n\nPerformance:\n  Mass: 324.30 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 324.3009635215917,
      "fos_buckling": 0.49018549048687915,
      "fos_yielding": 5.652413414547133,
      "deflection": 0.015580022035881347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.192)"
      },
      "parent_node_id": "node_1742",
      "improvement_over_parent": null
    },
    "node_1744": {
      "node_id": "node_1744",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 361.88 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.8828616409741,
      "fos_buckling": 0.48901626659633973,
      "fos_yielding": 4.943486930845916,
      "deflection": 0.014269259658269319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006713)"
      },
      "parent_node_id": "node_1743",
      "improvement_over_parent": null
    },
    "node_1745": {
      "node_id": "node_1745",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 364.21 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.39e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 364.20551438788345,
      "fos_buckling": 0.4888721320521003,
      "fos_yielding": 5.637450790748692,
      "deflection": 0.013864767098309944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.300)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 430.05 kg\n  Factor of Safety: 1.17\n  Max Deflection: 7.52e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.04761976198887,
      "fos_buckling": 1.1697956077079588,
      "fos_yielding": 11.776043521627033,
      "deflection": 0.007516342147894008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008368)"
      },
      "parent_node_id": "node_1745",
      "improvement_over_parent": null
    },
    "node_1747": {
      "node_id": "node_1747",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0065)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.47 kg\n  Factor of Safety: 1.42\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.4663106158872,
      "fos_buckling": 1.4228515272370255,
      "fos_yielding": 14.931635295666808,
      "deflection": 0.005978273740809359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_1746",
      "improvement_over_parent": null
    },
    "node_1748": {
      "node_id": "node_1748",
      "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0065)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0067)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.56 kg\n  Factor of Safety: 1.42\n  Max Deflection: 5.95e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.5594988354551,
      "fos_buckling": 1.42404726791816,
      "fos_yielding": 14.818758279640486,
      "deflection": 0.005954784610810923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.245)"
      },
      "parent_node_id": "node_1747",
      "improvement_over_parent": null
    },
    "node_1749": {
      "node_id": "node_1749",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1748",
      "improvement_over_parent": null
    },
    "node_1750": {
      "node_id": "node_1750",
      "content": "INITIAL DESIGN (Trace 258)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 282.80 kg\n  Factor of Safety: 0.15\n  Max Deflection: 5.19e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 282.79758602104323,
      "fos_buckling": 0.1535472332695858,
      "fos_yielding": 1.6451710657165102,
      "deflection": 51932672074784.836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1751": {
      "node_id": "node_1751",
      "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 296.96 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.02e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 296.9625048674903,
      "fos_buckling": 0.59873374803371,
      "fos_yielding": 5.406246078129938,
      "deflection": 101802973534835.45,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.279)"
      },
      "parent_node_id": "node_1750",
      "improvement_over_parent": null
    },
    "node_1752": {
      "node_id": "node_1752",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 314.48 kg\n  Factor of Safety: 0.14\n  Max Deflection: 3.23e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 314.4750753093189,
      "fos_buckling": 0.13657556272982962,
      "fos_yielding": 1.757130572226745,
      "deflection": 322879156787783.56,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.562)"
      },
      "parent_node_id": "node_1751",
      "improvement_over_parent": null
    },
    "node_1753": {
      "node_id": "node_1753",
      "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 317.49 kg\n  Factor of Safety: 0.14\n  Max Deflection: 3.23e+14 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 317.49123824101883,
      "fos_buckling": 0.13657556272982962,
      "fos_yielding": 1.757130572226745,
      "deflection": 322879156787783.56,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.656)"
      },
      "parent_node_id": "node_1752",
      "improvement_over_parent": null
    },
    "node_1754": {
      "node_id": "node_1754",
      "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 329.12 kg\n  Factor of Safety: 0.22\n  Max Deflection: 5.34e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 329.1242547070133,
      "fos_buckling": 0.2219114121765099,
      "fos_yielding": 1.8089464768574313,
      "deflection": 53414107397465.77,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.453)"
      },
      "parent_node_id": "node_1753",
      "improvement_over_parent": null
    },
    "node_1755": {
      "node_id": "node_1755",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 397.98 kg\n  Factor of Safety: 0.85\n  Max Deflection: 8.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.98100539621066,
      "fos_buckling": 0.8543964305081942,
      "fos_yielding": 10.358357191603163,
      "deflection": 0.008988245543345631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008781)"
      },
      "parent_node_id": "node_1754",
      "improvement_over_parent": null
    },
    "node_1756": {
      "node_id": "node_1756",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 450.93 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 450.929955473619,
      "fos_buckling": 1.3167436309571092,
      "fos_yielding": 11.755748543847226,
      "deflection": 0.007171815590399573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007700)"
      },
      "parent_node_id": "node_1755",
      "improvement_over_parent": null
    },
    "node_1757": {
      "node_id": "node_1757",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1968633406781,
      "fos_buckling": 1.5374600280099144,
      "fos_yielding": 14.268466363869456,
      "deflection": 0.0059549815926714595,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1756",
      "improvement_over_parent": null
    },
    "node_1758": {
      "node_id": "node_1758",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1757",
      "improvement_over_parent": null
    },
    "node_1759": {
      "node_id": "node_1759",
      "content": "INITIAL DESIGN (Trace 259)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\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_1760": {
      "node_id": "node_1760",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 333.67 kg\n  Factor of Safety: 0.81\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": 333.6743006521232,
      "fos_buckling": 0.8107644335846121,
      "fos_yielding": 9.749927320355072,
      "deflection": 0.011801711829792214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006563)"
      },
      "parent_node_id": "node_1759",
      "improvement_over_parent": null
    },
    "node_1761": {
      "node_id": "node_1761",
      "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 335.79 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 335.7937919701732,
      "fos_buckling": 0.8107644335846121,
      "fos_yielding": 9.749927320355072,
      "deflection": 0.011801711829792214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.312)"
      },
      "parent_node_id": "node_1760",
      "improvement_over_parent": null
    },
    "node_1762": {
      "node_id": "node_1762",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 434.56 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.56495912395985,
      "fos_buckling": 1.0018537959407887,
      "fos_yielding": 12.54216751549972,
      "deflection": 0.009184568459710867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_1761",
      "improvement_over_parent": null
    },
    "node_1763": {
      "node_id": "node_1763",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.17 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.1677235844628,
      "fos_buckling": 0.998848598610889,
      "fos_yielding": 12.504545570579754,
      "deflection": 0.007447122040250165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1762",
      "improvement_over_parent": null
    },
    "node_1764": {
      "node_id": "node_1764",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0071)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.3003764770834,
      "fos_buckling": 1.4062972831161347,
      "fos_yielding": 11.370667778253662,
      "deflection": 0.006019076851326106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1763",
      "improvement_over_parent": null
    },
    "node_1765": {
      "node_id": "node_1765",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1764",
      "improvement_over_parent": null
    },
    "node_1766": {
      "node_id": "node_1766",
      "content": "INITIAL DESIGN (Trace 260)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 333.26 kg\n  Factor of Safety: 0.72\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": 333.2583219136225,
      "fos_buckling": 0.721139979104828,
      "fos_yielding": 8.529576509344174,
      "deflection": 0.011017020527624042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1767": {
      "node_id": "node_1767",
      "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 335.29 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 335.2876907278476,
      "fos_buckling": 0.721139979104828,
      "fos_yielding": 8.529576509344174,
      "deflection": 0.011017020527624042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.479)"
      },
      "parent_node_id": "node_1766",
      "improvement_over_parent": null
    },
    "node_1768": {
      "node_id": "node_1768",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 396.48 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.35e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 396.4792263836732,
      "fos_buckling": 0.8315584389119237,
      "fos_yielding": 10.046916189393892,
      "deflection": 0.009352051094785626,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_1767",
      "improvement_over_parent": null
    },
    "node_1769": {
      "node_id": "node_1769",
      "content": "MODIFICATION: Increase 3 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 398.97 kg\n  Factor of Safety: 0.83\n  Max Deflection: 9.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.96604555614647,
      "fos_buckling": 0.8315584389119237,
      "fos_yielding": 10.046916189393892,
      "deflection": 0.009271037665532443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.511)"
      },
      "parent_node_id": "node_1768",
      "improvement_over_parent": null
    },
    "node_1770": {
      "node_id": "node_1770",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n\nPerformance:\n  Mass: 437.05 kg\n  Factor of Safety: 1.28\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": 437.05302518310475,
      "fos_buckling": 1.28300544117256,
      "fos_yielding": 11.389758933980316,
      "deflection": 0.007393251935047897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006810)"
      },
      "parent_node_id": "node_1769",
      "improvement_over_parent": null
    },
    "node_1771": {
      "node_id": "node_1771",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.13 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1311263860448,
      "fos_buckling": 1.537359968088438,
      "fos_yielding": 14.26572838464187,
      "deflection": 0.005955616337438965,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_1770",
      "improvement_over_parent": null
    },
    "node_1772": {
      "node_id": "node_1772",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1771",
      "improvement_over_parent": null
    },
    "node_1773": {
      "node_id": "node_1773",
      "content": "INITIAL DESIGN (Trace 261)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n\nPerformance:\n  Mass: 281.52 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 281.5199335935287,
      "fos_buckling": 0.41789562583556766,
      "fos_yielding": 4.981081272297294,
      "deflection": 0.01878455021419796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1774": {
      "node_id": "node_1774",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 332.47 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 332.4727685275669,
      "fos_buckling": 0.4926621832097491,
      "fos_yielding": 5.463816272343956,
      "deflection": 0.015127883457613858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007388)"
      },
      "parent_node_id": "node_1773",
      "improvement_over_parent": null
    },
    "node_1775": {
      "node_id": "node_1775",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 398.73 kg\n  Factor of Safety: 0.79\n  Max Deflection: 8.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.73225350736914,
      "fos_buckling": 0.791078167776857,
      "fos_yielding": 9.429207684473408,
      "deflection": 0.008637672855051064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008425)"
      },
      "parent_node_id": "node_1774",
      "improvement_over_parent": null
    },
    "node_1776": {
      "node_id": "node_1776",
      "content": "MODIFICATION: Increase 10 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0130)]\n\nPerformance:\n  Mass: 430.86 kg\n  Factor of Safety: 0.79\n  Max Deflection: 8.19e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.8579156778531,
      "fos_buckling": 0.7928952971916712,
      "fos_yielding": 9.450866847043903,
      "deflection": 0.008185429138838416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.543)"
      },
      "parent_node_id": "node_1775",
      "improvement_over_parent": null
    },
    "node_1777": {
      "node_id": "node_1777",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0146)]\n\nPerformance:\n  Mass: 480.49 kg\n  Factor of Safety: 0.88\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.4912368468869,
      "fos_buckling": 0.8786629488527002,
      "fos_yielding": 10.550417589629665,
      "deflection": 0.007352398751748659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_1776",
      "improvement_over_parent": null
    },
    "node_1778": {
      "node_id": "node_1778",
      "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0211)]\n\nPerformance:\n  Mass: 519.67 kg\n  Factor of Safety: 0.88\n  Max Deflection: 7.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 519.672534286198,
      "fos_buckling": 0.8788206161480008,
      "fos_yielding": 10.552310756751165,
      "deflection": 0.007112631229406314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.439)"
      },
      "parent_node_id": "node_1777",
      "improvement_over_parent": null
    },
    "node_1779": {
      "node_id": "node_1779",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0240)]\n\nPerformance:\n  Mass: 583.42 kg\n  Factor of Safety: 0.98\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 583.4153914379335,
      "fos_buckling": 0.9818644541548242,
      "fos_yielding": 11.898422987080899,
      "deflection": 0.006334776140489142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_1778",
      "improvement_over_parent": null
    },
    "node_1780": {
      "node_id": "node_1780",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1779",
      "improvement_over_parent": null
    },
    "node_1781": {
      "node_id": "node_1781",
      "content": "INITIAL DESIGN (Trace 262)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 249.83 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.8326356418963,
      "fos_buckling": 0.6268518525337039,
      "fos_yielding": 7.2880815773334415,
      "deflection": 0.0157621796166986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1782": {
      "node_id": "node_1782",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n\nPerformance:\n  Mass: 286.71 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 286.70731661232537,
      "fos_buckling": 0.6253778964253452,
      "fos_yielding": 7.27094465364771,
      "deflection": 0.012811907542527886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005241)"
      },
      "parent_node_id": "node_1781",
      "improvement_over_parent": null
    },
    "node_1783": {
      "node_id": "node_1783",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 329.21 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 329.20697459184913,
      "fos_buckling": 0.705941055839109,
      "fos_yielding": 8.326463909912084,
      "deflection": 0.0111873389848305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_1782",
      "improvement_over_parent": null
    },
    "node_1784": {
      "node_id": "node_1784",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 407.23 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.22717041730664,
      "fos_buckling": 0.8458871067761256,
      "fos_yielding": 10.249577470351012,
      "deflection": 0.009087617548119351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_1783",
      "improvement_over_parent": null
    },
    "node_1785": {
      "node_id": "node_1785",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.83 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.826733403906,
      "fos_buckling": 0.9972267111465916,
      "fos_yielding": 12.483614567209829,
      "deflection": 0.007460693154894721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1784",
      "improvement_over_parent": null
    },
    "node_1786": {
      "node_id": "node_1786",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.429497864409,
      "fos_buckling": 1.5380090976350098,
      "fos_yielding": 14.274414459047616,
      "deflection": 0.005952422325588348,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 263)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\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_1789": {
      "node_id": "node_1789",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 360.78 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 360.77808984110874,
      "fos_buckling": 0.862882288536248,
      "fos_yielding": 10.485525974637337,
      "deflection": 0.010966974003346326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007112)"
      },
      "parent_node_id": "node_1788",
      "improvement_over_parent": null
    },
    "node_1790": {
      "node_id": "node_1790",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 414.20 kg\n  Factor of Safety: 0.86\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 414.1986267706003,
      "fos_buckling": 0.8599665641090395,
      "fos_yielding": 10.450094833423117,
      "deflection": 0.00891323149909691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007774)"
      },
      "parent_node_id": "node_1789",
      "improvement_over_parent": null
    },
    "node_1791": {
      "node_id": "node_1791",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0105)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 426.25 kg\n  Factor of Safety: 0.86\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": 426.24673480462275,
      "fos_buckling": 0.8593116923743779,
      "fos_yielding": 10.442136998762379,
      "deflection": 0.00874146618969134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.190)"
      },
      "parent_node_id": "node_1790",
      "improvement_over_parent": null
    },
    "node_1792": {
      "node_id": "node_1792",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0129)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 511.33 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.32e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 511.32583754560324,
      "fos_buckling": 0.9960190658631224,
      "fos_yielding": 12.467574848664952,
      "deflection": 0.00732384035268325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1791",
      "improvement_over_parent": null
    },
    "node_1793": {
      "node_id": "node_1793",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0129)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 558.93 kg\n  Factor of Safety: 1.51\n  Max Deflection: 5.82e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 558.9286020061062,
      "fos_buckling": 1.514279391474969,
      "fos_yielding": 14.76581086638285,
      "deflection": 0.005824978265431323,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 264)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 466.75 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.75128106269165,
      "fos_buckling": 1.2094058221282749,
      "fos_yielding": 9.516761278457157,
      "deflection": 0.007003719926332831,
      "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 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 531.90 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.8997536493193,
      "fos_buckling": 1.3634014099999716,
      "fos_yielding": 10.892408232537392,
      "deflection": 0.006168117621736353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_1795",
      "improvement_over_parent": null
    },
    "node_1797": {
      "node_id": "node_1797",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 535.66 kg\n  Factor of Safety: 1.44\n  Max Deflection: 6.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.6649101125867,
      "fos_buckling": 1.4396959346947715,
      "fos_yielding": 14.694458098555838,
      "deflection": 0.006041421174835101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.449)"
      },
      "parent_node_id": "node_1796",
      "improvement_over_parent": null
    },
    "node_1798": {
      "node_id": "node_1798",
      "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.07 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0675012943034,
      "fos_buckling": 1.5371908372907357,
      "fos_yielding": 14.263297071073554,
      "deflection": 0.00595633259334377,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.307)"
      },
      "parent_node_id": "node_1797",
      "improvement_over_parent": null
    },
    "node_1799": {
      "node_id": "node_1799",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1798",
      "improvement_over_parent": null
    },
    "node_1800": {
      "node_id": "node_1800",
      "content": "INITIAL DESIGN (Trace 265)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 427.98 kg\n  Factor of Safety: 0.85\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": 427.97744485242436,
      "fos_buckling": 0.8474199290646152,
      "fos_yielding": 10.251538576466347,
      "deflection": 0.011173718253630472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1801": {
      "node_id": "node_1801",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 530.53 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.5292193623491,
      "fos_buckling": 1.0116021768705676,
      "fos_yielding": 12.664485301273816,
      "deflection": 0.009043836939636125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1800",
      "improvement_over_parent": null
    },
    "node_1802": {
      "node_id": "node_1802",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 543.50 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.4987388719039,
      "fos_buckling": 1.271126960787931,
      "fos_yielding": 13.583388423874004,
      "deflection": 0.006010074659215336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1801",
      "improvement_over_parent": null
    },
    "node_1803": {
      "node_id": "node_1803",
      "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0166)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 581.64 kg\n  Factor of Safety: 1.26\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": 581.6406853081646,
      "fos_buckling": 1.2591863544738195,
      "fos_yielding": 13.455789923814972,
      "deflection": 0.005672609642758897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.531)"
      },
      "parent_node_id": "node_1802",
      "improvement_over_parent": null
    },
    "node_1804": {
      "node_id": "node_1804",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1803",
      "improvement_over_parent": null
    },
    "node_1805": {
      "node_id": "node_1805",
      "content": "INITIAL DESIGN (Trace 266)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 319.18 kg\n  Factor of Safety: 0.38\n  Max Deflection: 4.45e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 319.17527040947044,
      "fos_buckling": 0.3809408194120706,
      "fos_yielding": 4.531065067834313,
      "deflection": 0.044452600983428424,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1806": {
      "node_id": "node_1806",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 407.33 kg\n  Factor of Safety: 0.47\n  Max Deflection: 3.49e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.3340048629409,
      "fos_buckling": 0.46878004931679673,
      "fos_yielding": 5.7695762526313725,
      "deflection": 0.03491029820405401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1805",
      "improvement_over_parent": null
    },
    "node_1807": {
      "node_id": "node_1807",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 482.85 kg\n  Factor of Safety: 0.93\n  Max Deflection: 9.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.8481897394825,
      "fos_buckling": 0.9330438304742625,
      "fos_yielding": 11.483283031254093,
      "deflection": 0.009979819236664049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009704)"
      },
      "parent_node_id": "node_1806",
      "improvement_over_parent": null
    },
    "node_1808": {
      "node_id": "node_1808",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.37 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.3739356922518,
      "fos_buckling": 1.011759785793533,
      "fos_yielding": 12.664805540373353,
      "deflection": 0.009048788405035467,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_1807",
      "improvement_over_parent": null
    },
    "node_1809": {
      "node_id": "node_1809",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3434552018067,
      "fos_buckling": 1.5378215841459655,
      "fos_yielding": 14.270736589118657,
      "deflection": 0.005953356561485682,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1808",
      "improvement_over_parent": null
    },
    "node_1810": {
      "node_id": "node_1810",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1809",
      "improvement_over_parent": null
    },
    "node_1811": {
      "node_id": "node_1811",
      "content": "INITIAL DESIGN (Trace 267)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 408.62 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 408.6203885170169,
      "fos_buckling": 0.43343585942600893,
      "fos_yielding": 5.690078462480907,
      "deflection": 0.014051893148559296,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1812": {
      "node_id": "node_1812",
      "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 410.56 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.5609860767093,
      "fos_buckling": 0.4334358594260088,
      "fos_yielding": 6.659277148787336,
      "deflection": 0.013801921362244623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.277)"
      },
      "parent_node_id": "node_1811",
      "improvement_over_parent": null
    },
    "node_1813": {
      "node_id": "node_1813",
      "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 425.32 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 425.3227105628277,
      "fos_buckling": 0.5944300181600772,
      "fos_yielding": 7.014271902581055,
      "deflection": 0.012602083795586617,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.493)"
      },
      "parent_node_id": "node_1812",
      "improvement_over_parent": null
    },
    "node_1814": {
      "node_id": "node_1814",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 441.13 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 441.1255347714745,
      "fos_buckling": 0.5938368187881423,
      "fos_yielding": 7.007272152299148,
      "deflection": 0.012519816924350679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.359)"
      },
      "parent_node_id": "node_1813",
      "improvement_over_parent": null
    },
    "node_1815": {
      "node_id": "node_1815",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 524.52 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.5207672048359,
      "fos_buckling": 1.4541685732949796,
      "fos_yielding": 15.171587727957005,
      "deflection": 0.006138543603426219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1814",
      "improvement_over_parent": null
    },
    "node_1816": {
      "node_id": "node_1816",
      "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 526.13 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 526.1297705621982,
      "fos_buckling": 1.4535055950353073,
      "fos_yielding": 15.039944820601708,
      "deflection": 0.006112993997382111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.220)"
      },
      "parent_node_id": "node_1815",
      "improvement_over_parent": null
    },
    "node_1817": {
      "node_id": "node_1817",
      "content": "MODIFICATION: Increase 9 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2743274070273,
      "fos_buckling": 1.5376356879735806,
      "fos_yielding": 14.269933124065966,
      "deflection": 0.005954102156070588,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.502)"
      },
      "parent_node_id": "node_1816",
      "improvement_over_parent": null
    },
    "node_1818": {
      "node_id": "node_1818",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1817",
      "improvement_over_parent": null
    },
    "node_1819": {
      "node_id": "node_1819",
      "content": "INITIAL DESIGN (Trace 268)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n\nPerformance:\n  Mass: 276.68 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 276.67904920127023,
      "fos_buckling": 0.3920138905482951,
      "fos_yielding": 4.395259843208262,
      "deflection": 0.018152148269185365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1820": {
      "node_id": "node_1820",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 349.14 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 349.1359754808212,
      "fos_buckling": 0.47904612207664937,
      "fos_yielding": 5.506345016081585,
      "deflection": 0.01444890719884129,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1819",
      "improvement_over_parent": null
    },
    "node_1821": {
      "node_id": "node_1821",
      "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 356.48 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 356.4780274272151,
      "fos_buckling": 0.47882282029627293,
      "fos_yielding": 5.503808403531413,
      "deflection": 0.014231504046048856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.195)"
      },
      "parent_node_id": "node_1820",
      "improvement_over_parent": null
    },
    "node_1822": {
      "node_id": "node_1822",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n\nPerformance:\n  Mass: 397.35 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.3537708133442,
      "fos_buckling": 0.5242247153499237,
      "fos_yielding": 6.111227303932742,
      "deflection": 0.012798952758963969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1821",
      "improvement_over_parent": null
    },
    "node_1823": {
      "node_id": "node_1823",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.83 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8272440899747,
      "fos_buckling": 0.5929915351801033,
      "fos_yielding": 7.07446175905281,
      "deflection": 0.011031597892950782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1822",
      "improvement_over_parent": null
    },
    "node_1824": {
      "node_id": "node_1824",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.22 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2224765233361,
      "fos_buckling": 1.5375013884276538,
      "fos_yielding": 14.268575198493567,
      "deflection": 0.005954588049889243,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1823",
      "improvement_over_parent": null
    },
    "node_1825": {
      "node_id": "node_1825",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1824",
      "improvement_over_parent": null
    },
    "node_1826": {
      "node_id": "node_1826",
      "content": "INITIAL DESIGN (Trace 269)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 437.25 kg\n  Factor of Safety: 0.49\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": 437.252921758198,
      "fos_buckling": 0.4904360272488768,
      "fos_yielding": 7.095208585947162,
      "deflection": 0.011704523519426687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1827": {
      "node_id": "node_1827",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 492.24 kg\n  Factor of Safety: 1.15\n  Max Deflection: 6.79e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 492.2382024286134,
      "fos_buckling": 1.1515981852717845,
      "fos_yielding": 12.99933390197322,
      "deflection": 0.006789658703908137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006905)"
      },
      "parent_node_id": "node_1826",
      "improvement_over_parent": null
    },
    "node_1828": {
      "node_id": "node_1828",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 508.19 kg\n  Factor of Safety: 1.15\n  Max Deflection: 6.54e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 508.1918023136122,
      "fos_buckling": 1.1528776977000936,
      "fos_yielding": 13.520809262018425,
      "deflection": 0.006542635368494711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.381)"
      },
      "parent_node_id": "node_1827",
      "improvement_over_parent": null
    },
    "node_1829": {
      "node_id": "node_1829",
      "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 517.86 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.43e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.8605774110905,
      "fos_buckling": 1.1918670685125612,
      "fos_yielding": 13.16254726952182,
      "deflection": 0.006433472907057004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.280)"
      },
      "parent_node_id": "node_1828",
      "improvement_over_parent": null
    },
    "node_1830": {
      "node_id": "node_1830",
      "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2925011000109,
      "fos_buckling": 1.537714109648298,
      "fos_yielding": 14.271962107376794,
      "deflection": 0.0059537119421120615,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.567)"
      },
      "parent_node_id": "node_1829",
      "improvement_over_parent": null
    },
    "node_1831": {
      "node_id": "node_1831",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1830",
      "improvement_over_parent": null
    },
    "node_1832": {
      "node_id": "node_1832",
      "content": "INITIAL DESIGN (Trace 270)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0033)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0029)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0029)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0021)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0036)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0032)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0032)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0036)]\n\nPerformance:\n  Mass: 195.27 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.27303359414793,
      "fos_buckling": 0.626563126906032,
      "fos_yielding": 5.062758906983935,
      "deflection": 0.016305419065729118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1833": {
      "node_id": "node_1833",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0034)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0034)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0042)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0037)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0042)]\n\nPerformance:\n  Mass: 223.03 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.0263940503802,
      "fos_buckling": 0.7085324397489191,
      "fos_yielding": 5.785732038967785,
      "deflection": 0.014300680733277624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_1832",
      "improvement_over_parent": null
    },
    "node_1834": {
      "node_id": "node_1834",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 274.77 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 274.76666131147914,
      "fos_buckling": 0.8567201768015624,
      "fos_yielding": 7.135850907974874,
      "deflection": 0.01164455259597952,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_1833",
      "improvement_over_parent": null
    },
    "node_1835": {
      "node_id": "node_1835",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 356.32 kg\n  Factor of Safety: 1.08\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 356.31679350083874,
      "fos_buckling": 1.078177664092825,
      "fos_yielding": 9.269901961656862,
      "deflection": 0.009024168256106295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_1834",
      "improvement_over_parent": null
    },
    "node_1836": {
      "node_id": "node_1836",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 462.31 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.307180523754,
      "fos_buckling": 1.3441835643187436,
      "fos_yielding": 12.054674535710276,
      "deflection": 0.007000029866808784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_1835",
      "improvement_over_parent": null
    },
    "node_1837": {
      "node_id": "node_1837",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.07 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0707631478862,
      "fos_buckling": 1.53724178030521,
      "fos_yielding": 14.2644356022717,
      "deflection": 0.005956232169449773,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 271)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 376.87 kg\n  Factor of Safety: 1.05\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.8667763046525,
      "fos_buckling": 1.054868521041896,
      "fos_yielding": 10.926141463418693,
      "deflection": 0.008427878730467287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1840": {
      "node_id": "node_1840",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 460.88 kg\n  Factor of Safety: 1.25\n  Max Deflection: 6.93e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.87560591002136,
      "fos_buckling": 1.2549980894659258,
      "fos_yielding": 13.24324690916158,
      "deflection": 0.006927551605590268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_1839",
      "improvement_over_parent": null
    },
    "node_1841": {
      "node_id": "node_1841",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 509.79 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.28e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 509.79346677583356,
      "fos_buckling": 1.3659832417951177,
      "fos_yielding": 14.575287779291894,
      "deflection": 0.006281727234155213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1840",
      "improvement_over_parent": null
    },
    "node_1842": {
      "node_id": "node_1842",
      "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 528.90 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.9031093580111,
      "fos_buckling": 1.371867279526715,
      "fos_yielding": 14.638071524083333,
      "deflection": 0.006131292011298555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.466)"
      },
      "parent_node_id": "node_1841",
      "improvement_over_parent": null
    },
    "node_1843": {
      "node_id": "node_1843",
      "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 542.81 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.8050735516192,
      "fos_buckling": 1.258374333027537,
      "fos_yielding": 13.427081297020644,
      "deflection": 0.006018492281180619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.453)"
      },
      "parent_node_id": "node_1842",
      "improvement_over_parent": null
    },
    "node_1844": {
      "node_id": "node_1844",
      "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.02 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.021140221933,
      "fos_buckling": 1.53712086165184,
      "fos_yielding": 14.26591516569614,
      "deflection": 0.005956610487965197,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.550)"
      },
      "parent_node_id": "node_1843",
      "improvement_over_parent": null
    },
    "node_1845": {
      "node_id": "node_1845",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1844",
      "improvement_over_parent": null
    },
    "node_1846": {
      "node_id": "node_1846",
      "content": "INITIAL DESIGN (Trace 272)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 372.25 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.24660521433333,
      "fos_buckling": 0.8051300505379119,
      "fos_yielding": 9.675638357622738,
      "deflection": 0.009826208464478854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1847": {
      "node_id": "node_1847",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 408.86 kg\n  Factor of Safety: 1.07\n  Max Deflection: 7.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 408.86220549872905,
      "fos_buckling": 1.0659825811528467,
      "fos_yielding": 11.458656002408501,
      "deflection": 0.007854346613160475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006528)"
      },
      "parent_node_id": "node_1846",
      "improvement_over_parent": null
    },
    "node_1848": {
      "node_id": "node_1848",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 532.04 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.0363394917212,
      "fos_buckling": 1.3446313001479353,
      "fos_yielding": 14.938688081182843,
      "deflection": 0.006080675095306973,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_1847",
      "improvement_over_parent": null
    },
    "node_1849": {
      "node_id": "node_1849",
      "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5063998630163,
      "fos_buckling": 1.5381751502225192,
      "fos_yielding": 14.2767656157667,
      "deflection": 0.005951587982849215,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.479)"
      },
      "parent_node_id": "node_1848",
      "improvement_over_parent": null
    },
    "node_1850": {
      "node_id": "node_1850",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1849",
      "improvement_over_parent": null
    },
    "node_1851": {
      "node_id": "node_1851",
      "content": "INITIAL DESIGN (Trace 273)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 339.02 kg\n  Factor of Safety: 0.91\n  Max Deflection: 9.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 339.0239515399045,
      "fos_buckling": 0.9122713686008156,
      "fos_yielding": 9.444624048692923,
      "deflection": 0.009431585920119766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1852": {
      "node_id": "node_1852",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 436.52 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.5174548154454,
      "fos_buckling": 1.1456841762977092,
      "fos_yielding": 12.179874513411336,
      "deflection": 0.007368327889844824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1851",
      "improvement_over_parent": null
    },
    "node_1853": {
      "node_id": "node_1853",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 481.57 kg\n  Factor of Safety: 1.25\n  Max Deflection: 6.70e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.5744568490652,
      "fos_buckling": 1.2492608670659058,
      "fos_yielding": 13.44652266100199,
      "deflection": 0.006697046219706368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_1852",
      "improvement_over_parent": null
    },
    "node_1854": {
      "node_id": "node_1854",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 532.51 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.5105490978954,
      "fos_buckling": 1.363099279811989,
      "fos_yielding": 14.880237971611441,
      "deflection": 0.006074975920194146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1853",
      "improvement_over_parent": null
    },
    "node_1855": {
      "node_id": "node_1855",
      "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.21 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2073642522557,
      "fos_buckling": 1.5374833826004264,
      "fos_yielding": 14.26660801323224,
      "deflection": 0.005954883190304132,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.443)"
      },
      "parent_node_id": "node_1854",
      "improvement_over_parent": null
    },
    "node_1856": {
      "node_id": "node_1856",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1855",
      "improvement_over_parent": null
    },
    "node_1857": {
      "node_id": "node_1857",
      "content": "INITIAL DESIGN (Trace 274)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 321.51 kg\n  Factor of Safety: 0.77\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": 321.51147919354923,
      "fos_buckling": 0.7663504525794779,
      "fos_yielding": 5.800174993836987,
      "deflection": 0.01019729538619098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1858": {
      "node_id": "node_1858",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 376.59 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.73e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.58965361531483,
      "fos_buckling": 0.8913514912616322,
      "fos_yielding": 6.820959421811132,
      "deflection": 0.00873180458407277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1857",
      "improvement_over_parent": null
    },
    "node_1859": {
      "node_id": "node_1859",
      "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 379.74 kg\n  Factor of Safety: 1.14\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": 379.73897294668734,
      "fos_buckling": 1.1390779711839625,
      "fos_yielding": 9.885722535530538,
      "deflection": 0.00847955415918565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.570)"
      },
      "parent_node_id": "node_1858",
      "improvement_over_parent": null
    },
    "node_1860": {
      "node_id": "node_1860",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 476.57 kg\n  Factor of Safety: 1.38\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": 476.5734449708772,
      "fos_buckling": 1.3781365819550022,
      "fos_yielding": 12.4323440142164,
      "deflection": 0.006796289049786473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_1859",
      "improvement_over_parent": null
    },
    "node_1861": {
      "node_id": "node_1861",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9834380033285,
      "fos_buckling": 1.5370584908565088,
      "fos_yielding": 14.2642456204678,
      "deflection": 0.005957118517734671,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_1860",
      "improvement_over_parent": null
    },
    "node_1862": {
      "node_id": "node_1862",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1861",
      "improvement_over_parent": null
    },
    "node_1863": {
      "node_id": "node_1863",
      "content": "INITIAL DESIGN (Trace 275)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 379.46 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 379.45787764913393,
      "fos_buckling": 0.9024682117923323,
      "fos_yielding": 11.055828570979232,
      "deflection": 0.010413214153694757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1864": {
      "node_id": "node_1864",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 435.84 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.49e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 435.8381405202734,
      "fos_buckling": 0.8992533455249614,
      "fos_yielding": 11.016444346841203,
      "deflection": 0.00848547812644962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008241)"
      },
      "parent_node_id": "node_1863",
      "improvement_over_parent": null
    },
    "node_1865": {
      "node_id": "node_1865",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 477.69 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.68643801922184,
      "fos_buckling": 1.261099257892217,
      "fos_yielding": 10.027395301072877,
      "deflection": 0.006855601787531562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007539)"
      },
      "parent_node_id": "node_1864",
      "improvement_over_parent": null
    },
    "node_1866": {
      "node_id": "node_1866",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 543.37 kg\n  Factor of Safety: 1.42\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": 543.3677149649626,
      "fos_buckling": 1.4165830812584561,
      "fos_yielding": 11.451165600493518,
      "deflection": 0.0060492154214417514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1865",
      "improvement_over_parent": null
    },
    "node_1867": {
      "node_id": "node_1867",
      "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0071)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.03 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.0323683069549,
      "fos_buckling": 1.4041661230416156,
      "fos_yielding": 11.350791223108512,
      "deflection": 0.006022624646352964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.314)"
      },
      "parent_node_id": "node_1866",
      "improvement_over_parent": null
    },
    "node_1868": {
      "node_id": "node_1868",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1867",
      "improvement_over_parent": null
    },
    "node_1869": {
      "node_id": "node_1869",
      "content": "INITIAL DESIGN (Trace 276)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 268.90 kg\n  Factor of Safety: 0.06\n  Max Deflection: 9.76e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 268.9020190808712,
      "fos_buckling": 0.057009364050552416,
      "fos_yielding": 0.4522366192143578,
      "deflection": 97592765306413.36,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1870": {
      "node_id": "node_1870",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 339.28 kg\n  Factor of Safety: 0.01\n  Max Deflection: 5.75e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 339.2759180769833,
      "fos_buckling": 0.014937189409428304,
      "fos_yielding": 0.16437413190825925,
      "deflection": 575009117927469.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008990)"
      },
      "parent_node_id": "node_1869",
      "improvement_over_parent": null
    },
    "node_1871": {
      "node_id": "node_1871",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 379.44 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 379.43943902876595,
      "fos_buckling": 0.5172271608238498,
      "fos_yielding": 5.136585310235502,
      "deflection": 0.013405074888873554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007211)"
      },
      "parent_node_id": "node_1870",
      "improvement_over_parent": null
    },
    "node_1872": {
      "node_id": "node_1872",
      "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0058)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 381.54 kg\n  Factor of Safety: 0.52\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": 381.5355490708381,
      "fos_buckling": 0.51722716082385,
      "fos_yielding": 5.136585310235505,
      "deflection": 0.0131645972042253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.285)"
      },
      "parent_node_id": "node_1871",
      "improvement_over_parent": null
    },
    "node_1873": {
      "node_id": "node_1873",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0058)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 383.17 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.1729685782234,
      "fos_buckling": 0.5171197900443726,
      "fos_yielding": 6.0364356467865505,
      "deflection": 0.012881608883237503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.203)"
      },
      "parent_node_id": "node_1872",
      "improvement_over_parent": null
    },
    "node_1874": {
      "node_id": "node_1874",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0058)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 453.55 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 453.54686757433547,
      "fos_buckling": 1.3225710764726024,
      "fos_yielding": 11.088035555866844,
      "deflection": 0.0072071019227201594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008990)"
      },
      "parent_node_id": "node_1873",
      "improvement_over_parent": null
    },
    "node_1875": {
      "node_id": "node_1875",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0058)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 461.12 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.11666055321916,
      "fos_buckling": 1.324351329517649,
      "fos_yielding": 11.378276241187203,
      "deflection": 0.007041822525260625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.183)"
      },
      "parent_node_id": "node_1874",
      "improvement_over_parent": null
    },
    "node_1876": {
      "node_id": "node_1876",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0059)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0070)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.32 kg\n  Factor of Safety: 1.52\n  Max Deflection: 5.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3213330431827,
      "fos_buckling": 1.5186953099160814,
      "fos_yielding": 13.518605897379144,
      "deflection": 0.005973366505569439,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_1875",
      "improvement_over_parent": null
    },
    "node_1877": {
      "node_id": "node_1877",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1876",
      "improvement_over_parent": null
    },
    "node_1878": {
      "node_id": "node_1878",
      "content": "INITIAL DESIGN (Trace 277)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 324.42 kg\n  Factor of Safety: 0.70\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 324.41577528622446,
      "fos_buckling": 0.6970170223705623,
      "fos_yielding": 8.207813965331669,
      "deflection": 0.011349151537402584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1879": {
      "node_id": "node_1879",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 388.28 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.52e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 388.2794081398034,
      "fos_buckling": 0.8128458268395657,
      "fos_yielding": 9.784334392407892,
      "deflection": 0.00951993200742562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_1878",
      "improvement_over_parent": null
    },
    "node_1880": {
      "node_id": "node_1880",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 425.32 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.59e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 425.31857428084083,
      "fos_buckling": 1.2540932100191373,
      "fos_yielding": 11.082790890117733,
      "deflection": 0.007591668492785694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006609)"
      },
      "parent_node_id": "node_1879",
      "improvement_over_parent": null
    },
    "node_1881": {
      "node_id": "node_1881",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.21 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2113755830909,
      "fos_buckling": 1.5375068710770412,
      "fos_yielding": 14.269907207243218,
      "deflection": 0.005954637311620268,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_1880",
      "improvement_over_parent": null
    },
    "node_1882": {
      "node_id": "node_1882",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1881",
      "improvement_over_parent": null
    },
    "node_1883": {
      "node_id": "node_1883",
      "content": "INITIAL DESIGN (Trace 278)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 461.61 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.73e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.6108543811486,
      "fos_buckling": 0.9994958402677858,
      "fos_yielding": 12.51136167649929,
      "deflection": 0.007728234710499901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1884": {
      "node_id": "node_1884",
      "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 464.26 kg\n  Factor of Safety: 1.00\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": 464.2598996391311,
      "fos_buckling": 0.9991618944900844,
      "fos_yielding": 12.507181452593564,
      "deflection": 0.007701922347397884,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.282)"
      },
      "parent_node_id": "node_1883",
      "improvement_over_parent": null
    },
    "node_1885": {
      "node_id": "node_1885",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 528.39 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.3925525317517,
      "fos_buckling": 1.3262754204691531,
      "fos_yielding": 13.628958261197893,
      "deflection": 0.006218744620543641,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1884",
      "improvement_over_parent": null
    },
    "node_1886": {
      "node_id": "node_1886",
      "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0123)]\n\nPerformance:\n  Mass: 545.30 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.3037442451773,
      "fos_buckling": 1.3226091449746982,
      "fos_yielding": 13.285719853667073,
      "deflection": 0.006136008820682695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.299)"
      },
      "parent_node_id": "node_1885",
      "improvement_over_parent": null
    },
    "node_1887": {
      "node_id": "node_1887",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1886",
      "improvement_over_parent": null
    },
    "node_1888": {
      "node_id": "node_1888",
      "content": "INITIAL DESIGN (Trace 279)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 350.89 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 350.88561885052115,
      "fos_buckling": 0.30609048686107654,
      "fos_yielding": 2.3512465343760725,
      "deflection": 0.021474295063917116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1889": {
      "node_id": "node_1889",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 352.88 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.00e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.8838794505157,
      "fos_buckling": 0.3949236291222027,
      "fos_yielding": 3.1126328218415074,
      "deflection": 0.02000795321177066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.342)"
      },
      "parent_node_id": "node_1888",
      "improvement_over_parent": null
    },
    "node_1890": {
      "node_id": "node_1890",
      "content": "MODIFICATION: Increase 5 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 357.69 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 357.6884715761398,
      "fos_buckling": 0.5878225097133254,
      "fos_yielding": 4.942497146285954,
      "deflection": 0.018336407428501802,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.645)"
      },
      "parent_node_id": "node_1889",
      "improvement_over_parent": null
    },
    "node_1891": {
      "node_id": "node_1891",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 441.08 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 441.0837040095013,
      "fos_buckling": 0.5938709029731012,
      "fos_yielding": 7.084962535791537,
      "deflection": 0.011162308654740886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1890",
      "improvement_over_parent": null
    },
    "node_1892": {
      "node_id": "node_1892",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 524.48 kg\n  Factor of Safety: 1.44\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.4789364428627,
      "fos_buckling": 1.4447209744915965,
      "fos_yielding": 15.131806123836819,
      "deflection": 0.006130625645023173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1891",
      "improvement_over_parent": null
    },
    "node_1893": {
      "node_id": "node_1893",
      "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0169)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 564.89 kg\n  Factor of Safety: 1.55\n  Max Deflection: 5.73e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 564.8938181722183,
      "fos_buckling": 1.547703848658097,
      "fos_yielding": 16.115416967050027,
      "deflection": 0.005731939584321247,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.565)"
      },
      "parent_node_id": "node_1892",
      "improvement_over_parent": null
    },
    "node_1894": {
      "node_id": "node_1894",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1893",
      "improvement_over_parent": null
    },
    "node_1895": {
      "node_id": "node_1895",
      "content": "INITIAL DESIGN (Trace 280)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 312.18 kg\n  Factor of Safety: 0.49\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 312.17940497299656,
      "fos_buckling": 0.4937514759602403,
      "fos_yielding": 5.933739052807126,
      "deflection": 0.016353093151964333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1896": {
      "node_id": "node_1896",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 373.42 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.42460678849005,
      "fos_buckling": 0.5832120855576487,
      "fos_yielding": 7.106898547713637,
      "deflection": 0.013682602994727601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1895",
      "improvement_over_parent": null
    },
    "node_1897": {
      "node_id": "node_1897",
      "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 395.98 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.98307728661524,
      "fos_buckling": 0.8095241402970268,
      "fos_yielding": 8.52740362057697,
      "deflection": 0.01205292377190478,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.572)"
      },
      "parent_node_id": "node_1896",
      "improvement_over_parent": null
    },
    "node_1898": {
      "node_id": "node_1898",
      "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 407.20 kg\n  Factor of Safety: 0.81\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": 407.19660400414494,
      "fos_buckling": 0.8079295366103711,
      "fos_yielding": 8.532282567497205,
      "deflection": 0.012061003183180059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.466)"
      },
      "parent_node_id": "node_1897",
      "improvement_over_parent": null
    },
    "node_1899": {
      "node_id": "node_1899",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n\nPerformance:\n  Mass: 417.28 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.79e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 417.2792898637706,
      "fos_buckling": 1.250147131167194,
      "fos_yielding": 10.775670603058556,
      "deflection": 0.007794714700508838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004776)"
      },
      "parent_node_id": "node_1898",
      "improvement_over_parent": null
    },
    "node_1900": {
      "node_id": "node_1900",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 536.85 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.10e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 536.8473699077249,
      "fos_buckling": 1.5347944809153569,
      "fos_yielding": 13.896777631494318,
      "deflection": 0.006101242016763993,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_1899",
      "improvement_over_parent": null
    },
    "node_1901": {
      "node_id": "node_1901",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 545.93 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9292697413566,
      "fos_buckling": 1.5366803387711458,
      "fos_yielding": 14.266648901698717,
      "deflection": 0.005957605323904154,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.189)"
      },
      "parent_node_id": "node_1900",
      "improvement_over_parent": null
    },
    "node_1902": {
      "node_id": "node_1902",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1901",
      "improvement_over_parent": null
    },
    "node_1903": {
      "node_id": "node_1903",
      "content": "INITIAL DESIGN (Trace 281)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 318.44 kg\n  Factor of Safety: 0.71\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": 318.44015092505066,
      "fos_buckling": 0.7067209076086535,
      "fos_yielding": 8.336103548766369,
      "deflection": 0.011176649292531376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1904": {
      "node_id": "node_1904",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 393.32 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.09e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 393.3228875035488,
      "fos_buckling": 0.8458942008331914,
      "fos_yielding": 10.248179393097644,
      "deflection": 0.009091100697572236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1903",
      "improvement_over_parent": null
    },
    "node_1905": {
      "node_id": "node_1905",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 445.66 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.25e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.6589918295628,
      "fos_buckling": 1.3039707853259004,
      "fos_yielding": 11.615501462969492,
      "deflection": 0.00725434562456686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007604)"
      },
      "parent_node_id": "node_1904",
      "improvement_over_parent": null
    },
    "node_1906": {
      "node_id": "node_1906",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.91 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9143886558661,
      "fos_buckling": 1.5368439243247143,
      "fos_yielding": 14.259193450302645,
      "deflection": 0.005957975826722632,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 282)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 263.14 kg\n  Factor of Safety: 0.37\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 263.1421009984791,
      "fos_buckling": 0.3704669383586532,
      "fos_yielding": 4.574413797975384,
      "deflection": 0.02099647109783711,
      "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: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 320.14 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.1444228255621,
      "fos_buckling": 0.7284169784905067,
      "fos_yielding": 8.625755075543342,
      "deflection": 0.011189791087417428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007174)"
      },
      "parent_node_id": "node_1908",
      "improvement_over_parent": null
    },
    "node_1910": {
      "node_id": "node_1910",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 369.25 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.73e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.2475313276586,
      "fos_buckling": 0.8222444351680218,
      "fos_yielding": 9.913495359394263,
      "deflection": 0.009732811418303872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_1909",
      "improvement_over_parent": null
    },
    "node_1911": {
      "node_id": "node_1911",
      "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0115)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 395.16 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.15806673427153,
      "fos_buckling": 0.8208951224473315,
      "fos_yielding": 9.897227197734773,
      "deflection": 0.009747858156695235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.575)"
      },
      "parent_node_id": "node_1910",
      "improvement_over_parent": null
    },
    "node_1912": {
      "node_id": "node_1912",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0115)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 432.66 kg\n  Factor of Safety: 1.16\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": 432.65654853972813,
      "fos_buckling": 1.1643520170185837,
      "fos_yielding": 11.54431496823568,
      "deflection": 0.00761172395079368,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006697)"
      },
      "parent_node_id": "node_1911",
      "improvement_over_parent": null
    },
    "node_1913": {
      "node_id": "node_1913",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 489.32 kg\n  Factor of Safety: 1.29\n  Max Deflection: 6.75e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 489.31940458697545,
      "fos_buckling": 1.2905811418921236,
      "fos_yielding": 13.084598177760137,
      "deflection": 0.0067485395492809675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_1912",
      "improvement_over_parent": null
    },
    "node_1914": {
      "node_id": "node_1914",
      "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 496.06 kg\n  Factor of Safety: 1.31\n  Max Deflection: 6.70e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 496.0643184647605,
      "fos_buckling": 1.3102837155938165,
      "fos_yielding": 12.880023358527035,
      "deflection": 0.0066991533323742854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.205)"
      },
      "parent_node_id": "node_1913",
      "improvement_over_parent": null
    },
    "node_1915": {
      "node_id": "node_1915",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0149)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 556.05 kg\n  Factor of Safety: 1.44\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 556.0532477596655,
      "fos_buckling": 1.437608520029027,
      "fos_yielding": 14.472910476789014,
      "deflection": 0.005993031350286221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 283)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 392.56 kg\n  Factor of Safety: 0.45\n  Max Deflection: 3.62e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 392.56313704994386,
      "fos_buckling": 0.45458209038926173,
      "fos_yielding": 5.562454142631638,
      "deflection": 0.036210209077804215,
      "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: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 442.12 kg\n  Factor of Safety: 0.68\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": 442.11872666925626,
      "fos_buckling": 0.6803399476977284,
      "fos_yielding": 8.412951533850235,
      "deflection": 0.011590526489069152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006187)"
      },
      "parent_node_id": "node_1917",
      "improvement_over_parent": null
    },
    "node_1919": {
      "node_id": "node_1919",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 506.76 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 506.76069861264773,
      "fos_buckling": 0.7690927318678509,
      "fos_yielding": 9.655750186434046,
      "deflection": 0.010122173613410813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_1918",
      "improvement_over_parent": null
    },
    "node_1920": {
      "node_id": "node_1920",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 519.73 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.39e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 519.7302181222026,
      "fos_buckling": 1.2184746010769358,
      "fos_yielding": 13.261340162701758,
      "deflection": 0.006389045902063289,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1919",
      "improvement_over_parent": null
    },
    "node_1921": {
      "node_id": "node_1921",
      "content": "MODIFICATION: Increase 10 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0095)]\n\nPerformance:\n  Mass: 525.39 kg\n  Factor of Safety: 1.24\n  Max Deflection: 6.27e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 525.3942925346716,
      "fos_buckling": 1.2423554638085699,
      "fos_yielding": 15.597435139132402,
      "deflection": 0.006266234088039028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.506)"
      },
      "parent_node_id": "node_1920",
      "improvement_over_parent": null
    },
    "node_1922": {
      "node_id": "node_1922",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1921",
      "improvement_over_parent": null
    },
    "node_1923": {
      "node_id": "node_1923",
      "content": "INITIAL DESIGN (Trace 284)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 393.56 kg\n  Factor of Safety: 0.78\n  Max Deflection: 3.55e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 393.56217940218977,
      "fos_buckling": 0.775491832851562,
      "fos_yielding": 9.808992210926242,
      "deflection": 3554593809282.7266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1924": {
      "node_id": "node_1924",
      "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 416.23 kg\n  Factor of Safety: 1.01\n  Max Deflection: 3.55e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.23186699893745,
      "fos_buckling": 1.0140639140994978,
      "fos_yielding": 12.88240139117637,
      "deflection": 3554593809282.6914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.410)"
      },
      "parent_node_id": "node_1923",
      "improvement_over_parent": null
    },
    "node_1925": {
      "node_id": "node_1925",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 480.36 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.3645198915581,
      "fos_buckling": 0.9986318079441151,
      "fos_yielding": 12.50054600277047,
      "deflection": 0.009024447599274284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 527.97 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 527.967284352061,
      "fos_buckling": 1.0113215059035616,
      "fos_yielding": 12.659467727118965,
      "deflection": 0.009051993791478386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1925",
      "improvement_over_parent": null
    },
    "node_1927": {
      "node_id": "node_1927",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 540.94 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 540.9368038616159,
      "fos_buckling": 1.2696921564003092,
      "fos_yielding": 13.568656512997585,
      "deflection": 0.006050356790341577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1926",
      "improvement_over_parent": null
    },
    "node_1928": {
      "node_id": "node_1928",
      "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 544.49 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.4945743274516,
      "fos_buckling": 1.2721844659058033,
      "fos_yielding": 13.595290757710888,
      "deflection": 0.005997750028580439,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.529)"
      },
      "parent_node_id": "node_1927",
      "improvement_over_parent": null
    },
    "node_1929": {
      "node_id": "node_1929",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0063)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0124)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 562.12 kg\n  Factor of Safety: 1.20\n  Max Deflection: 5.92e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 562.1176969693207,
      "fos_buckling": 1.1968527423856081,
      "fos_yielding": 12.790252878390977,
      "deflection": 0.0059184308208965804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.312)"
      },
      "parent_node_id": "node_1928",
      "improvement_over_parent": null
    },
    "node_1930": {
      "node_id": "node_1930",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1929",
      "improvement_over_parent": null
    },
    "node_1931": {
      "node_id": "node_1931",
      "content": "INITIAL DESIGN (Trace 285)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_1932": {
      "node_id": "node_1932",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.15 kg\n  Factor of Safety: 1.00\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": 482.1465619988734,
      "fos_buckling": 0.9980356238604884,
      "fos_yielding": 12.493083165612479,
      "deflection": 0.007457272458590764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1931",
      "improvement_over_parent": null
    },
    "node_1933": {
      "node_id": "node_1933",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.279214891494,
      "fos_buckling": 1.5377003541588654,
      "fos_yielding": 14.269864165691677,
      "deflection": 0.005954037788644468,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1932",
      "improvement_over_parent": null
    },
    "node_1934": {
      "node_id": "node_1934",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1933",
      "improvement_over_parent": null
    },
    "node_1935": {
      "node_id": "node_1935",
      "content": "INITIAL DESIGN (Trace 286)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n\nPerformance:\n  Mass: 250.59 kg\n  Factor of Safety: 0.57\n  Max Deflection: 4.34e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.5896436863048,
      "fos_buckling": 0.5695453702728029,
      "fos_yielding": 6.876613751198475,
      "deflection": 43441844699085.77,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1936": {
      "node_id": "node_1936",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n\nPerformance:\n  Mass: 296.36 kg\n  Factor of Safety: 0.14\n  Max Deflection: 7.35e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 296.3600740949179,
      "fos_buckling": 0.14238634256820074,
      "fos_yielding": 2.3364743496004876,
      "deflection": 73506734365522.23,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006587)"
      },
      "parent_node_id": "node_1935",
      "improvement_over_parent": null
    },
    "node_1937": {
      "node_id": "node_1937",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 340.67 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.06e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 340.67184964717353,
      "fos_buckling": 0.8884655868135206,
      "fos_yielding": 7.235785907429723,
      "deflection": 10566821474411.898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1936",
      "improvement_over_parent": null
    },
    "node_1938": {
      "node_id": "node_1938",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 415.44 kg\n  Factor of Safety: 0.51\n  Max Deflection: 2.21e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.4361567532981,
      "fos_buckling": 0.5060878446276992,
      "fos_yielding": 7.84792055460995,
      "deflection": 22147979112435.83,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_1937",
      "improvement_over_parent": null
    },
    "node_1939": {
      "node_id": "node_1939",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.83 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.8313891866596,
      "fos_buckling": 0.996958658305343,
      "fos_yielding": 12.484572340226874,
      "deflection": 0.007461124598615588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1938",
      "improvement_over_parent": null
    },
    "node_1940": {
      "node_id": "node_1940",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n\nPerformance:\n  Mass: 529.29 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 529.2876462948976,
      "fos_buckling": 1.2796169652363407,
      "fos_yielding": 15.115691503309318,
      "deflection": 0.0061151693638025065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005366)"
      },
      "parent_node_id": "node_1939",
      "improvement_over_parent": null
    },
    "node_1941": {
      "node_id": "node_1941",
      "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0088)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n\nPerformance:\n  Mass: 534.37 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 534.3691701879741,
      "fos_buckling": 1.2819041180843362,
      "fos_yielding": 14.88172220317514,
      "deflection": 0.006069108000407316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.618)"
      },
      "parent_node_id": "node_1940",
      "improvement_over_parent": null
    },
    "node_1942": {
      "node_id": "node_1942",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1941",
      "improvement_over_parent": null
    },
    "node_1943": {
      "node_id": "node_1943",
      "content": "INITIAL DESIGN (Trace 287)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 454.25 kg\n  Factor of Safety: 0.72\n  Max Deflection: 8.60e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 454.24702936918715,
      "fos_buckling": 0.7216814792709211,
      "fos_yielding": 9.059065275896444,
      "deflection": 0.008604521563272804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1944": {
      "node_id": "node_1944",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 518.38 kg\n  Factor of Safety: 1.21\n  Max Deflection: 6.42e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 518.3796822618077,
      "fos_buckling": 1.2064578667972894,
      "fos_yielding": 13.350881694984471,
      "deflection": 0.006418830101977489,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1943",
      "improvement_over_parent": null
    },
    "node_1945": {
      "node_id": "node_1945",
      "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 519.83 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.39e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 519.8336737836242,
      "fos_buckling": 1.2176155058993732,
      "fos_yielding": 13.256553653628874,
      "deflection": 0.006388870525546134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.195)"
      },
      "parent_node_id": "node_1944",
      "improvement_over_parent": null
    },
    "node_1946": {
      "node_id": "node_1946",
      "content": "MODIFICATION: Increase 10 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0143)]\n\nPerformance:\n  Mass: 547.95 kg\n  Factor of Safety: 1.29\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 547.9467235798453,
      "fos_buckling": 1.2866985750988733,
      "fos_yielding": 12.751101617859392,
      "deflection": 0.00621954324423343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.508)"
      },
      "parent_node_id": "node_1945",
      "improvement_over_parent": null
    },
    "node_1947": {
      "node_id": "node_1947",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1946",
      "improvement_over_parent": null
    },
    "node_1948": {
      "node_id": "node_1948",
      "content": "INITIAL DESIGN (Trace 288)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 305.19 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.01e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 305.19405327123474,
      "fos_buckling": 0.4473431324910703,
      "fos_yielding": 4.291591207720194,
      "deflection": 0.020139120768700728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1949": {
      "node_id": "node_1949",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 319.89 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 319.8862085387013,
      "fos_buckling": 0.44692491237386783,
      "fos_yielding": 4.291591207720203,
      "deflection": 0.020154854726687297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.408)"
      },
      "parent_node_id": "node_1948",
      "improvement_over_parent": null
    },
    "node_1950": {
      "node_id": "node_1950",
      "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 321.54 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.99e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 321.54004864980135,
      "fos_buckling": 0.44692491237386794,
      "fos_yielding": 4.291591207720199,
      "deflection": 0.019874084959394557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.267)"
      },
      "parent_node_id": "node_1949",
      "improvement_over_parent": null
    },
    "node_1951": {
      "node_id": "node_1951",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 370.82 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.8179093629208,
      "fos_buckling": 0.505293398900281,
      "fos_yielding": 4.94364987181899,
      "deflection": 0.017279679547424865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1950",
      "improvement_over_parent": null
    },
    "node_1952": {
      "node_id": "node_1952",
      "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 379.32 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 379.31938867906183,
      "fos_buckling": 0.5876710560315472,
      "fos_yielding": 4.940939641307971,
      "deflection": 0.016703108580546376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.239)"
      },
      "parent_node_id": "node_1951",
      "improvement_over_parent": null
    },
    "node_1953": {
      "node_id": "node_1953",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 462.71 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.7146211124233,
      "fos_buckling": 0.5926306015239403,
      "fos_yielding": 7.071177700591531,
      "deflection": 0.011035285975632416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1952",
      "improvement_over_parent": null
    },
    "node_1954": {
      "node_id": "node_1954",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.11 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1098535457847,
      "fos_buckling": 1.5374524942651862,
      "fos_yielding": 14.267364533186381,
      "deflection": 0.005955803824148375,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1953",
      "improvement_over_parent": null
    },
    "node_1955": {
      "node_id": "node_1955",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1954",
      "improvement_over_parent": null
    },
    "node_1956": {
      "node_id": "node_1956",
      "content": "INITIAL DESIGN (Trace 289)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 287.11 kg\n  Factor of Safety: 0.67\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": 287.1061242292832,
      "fos_buckling": 0.6699460724191343,
      "fos_yielding": 7.8489964515809305,
      "deflection": 0.012024117334822882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1957": {
      "node_id": "node_1957",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 362.25 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.58e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 362.25062678403424,
      "fos_buckling": 0.8180003977651163,
      "fos_yielding": 9.853079430611094,
      "deflection": 0.009575133683894281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1956",
      "improvement_over_parent": null
    },
    "node_1958": {
      "node_id": "node_1958",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0023)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 372.18 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.17618824418287,
      "fos_buckling": 0.817485267280858,
      "fos_yielding": 9.846874517273159,
      "deflection": 0.00958117208403646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.389)"
      },
      "parent_node_id": "node_1957",
      "improvement_over_parent": null
    },
    "node_1959": {
      "node_id": "node_1959",
      "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 374.65 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.51e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.65465362062923,
      "fos_buckling": 0.8172282484903416,
      "fos_yielding": 9.843778642790657,
      "deflection": 0.009507692132485425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.520)"
      },
      "parent_node_id": "node_1958",
      "improvement_over_parent": null
    },
    "node_1960": {
      "node_id": "node_1960",
      "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 377.32 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 377.3150105932011,
      "fos_buckling": 0.8169525471794742,
      "fos_yielding": 9.840457731306353,
      "deflection": 0.009467891433915066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.381)"
      },
      "parent_node_id": "node_1959",
      "improvement_over_parent": null
    },
    "node_1961": {
      "node_id": "node_1961",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n\nPerformance:\n  Mass: 427.52 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 427.51605025190577,
      "fos_buckling": 1.2594327688149347,
      "fos_yielding": 11.132073925100041,
      "deflection": 0.007554180869939045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007271)"
      },
      "parent_node_id": "node_1960",
      "improvement_over_parent": null
    },
    "node_1962": {
      "node_id": "node_1962",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.92 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9200241165727,
      "fos_buckling": 1.5367597486621467,
      "fos_yielding": 14.25155474416017,
      "deflection": 0.0059581171685106175,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_1961",
      "improvement_over_parent": null
    },
    "node_1963": {
      "node_id": "node_1963",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1962",
      "improvement_over_parent": null
    },
    "node_1964": {
      "node_id": "node_1964",
      "content": "INITIAL DESIGN (Trace 290)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_1965": {
      "node_id": "node_1965",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 480.35 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.3453060899975,
      "fos_buckling": 0.9982621591132863,
      "fos_yielding": 12.495918859735502,
      "deflection": 0.00747089864048838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1964",
      "improvement_over_parent": null
    },
    "node_1966": {
      "node_id": "node_1966",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 544.48 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.01e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.4779589826181,
      "fos_buckling": 1.5238465473765919,
      "fos_yielding": 12.510358624216307,
      "deflection": 0.006008168255807108,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1965",
      "improvement_over_parent": null
    },
    "node_1967": {
      "node_id": "node_1967",
      "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0064)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.01 kg\n  Factor of Safety: 1.52\n  Max Deflection: 5.99e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0097621952492,
      "fos_buckling": 1.5166317870225645,
      "fos_yielding": 12.440260750302693,
      "deflection": 0.005990991945923522,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.178)"
      },
      "parent_node_id": "node_1966",
      "improvement_over_parent": null
    },
    "node_1968": {
      "node_id": "node_1968",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1967",
      "improvement_over_parent": null
    },
    "node_1969": {
      "node_id": "node_1969",
      "content": "INITIAL DESIGN (Trace 291)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 403.10 kg\n  Factor of Safety: 0.60\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": 403.10450465285993,
      "fos_buckling": 0.5952988306142623,
      "fos_yielding": 7.112538555141362,
      "deflection": 0.012954850093941709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1970": {
      "node_id": "node_1970",
      "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 415.31 kg\n  Factor of Safety: 0.59\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": 415.3127249601854,
      "fos_buckling": 0.5948390979100873,
      "fos_yielding": 7.096309385032543,
      "deflection": 0.012204727495283731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.258)"
      },
      "parent_node_id": "node_1969",
      "improvement_over_parent": null
    },
    "node_1971": {
      "node_id": "node_1971",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.92 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.91548942068835,
      "fos_buckling": 0.5930532524314869,
      "fos_yielding": 7.075325944795004,
      "deflection": 0.011028642549898684,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_1970",
      "improvement_over_parent": null
    },
    "node_1972": {
      "node_id": "node_1972",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.31 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3107218540498,
      "fos_buckling": 1.537699974023917,
      "fos_yielding": 14.268843930012252,
      "deflection": 0.005953865043462187,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 292)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\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 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 416.90 kg\n  Factor of Safety: 0.86\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.9037711433198,
      "fos_buckling": 0.8625362127686781,
      "fos_yielding": 10.486842095198554,
      "deflection": 0.008881962207500848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007805)"
      },
      "parent_node_id": "node_1974",
      "improvement_over_parent": null
    },
    "node_1976": {
      "node_id": "node_1976",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 456.70 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 456.7009716286495,
      "fos_buckling": 1.3307152572472243,
      "fos_yielding": 11.906862309989547,
      "deflection": 0.00708358046083748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007140)"
      },
      "parent_node_id": "node_1975",
      "improvement_over_parent": null
    },
    "node_1977": {
      "node_id": "node_1977",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.11 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1097631676688,
      "fos_buckling": 1.537317997339914,
      "fos_yielding": 14.265231871428217,
      "deflection": 0.005955836943886886,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1976",
      "improvement_over_parent": null
    },
    "node_1978": {
      "node_id": "node_1978",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1977",
      "improvement_over_parent": null
    },
    "node_1979": {
      "node_id": "node_1979",
      "content": "INITIAL DESIGN (Trace 293)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n\nPerformance:\n  Mass: 273.42 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.29e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 273.41990244072366,
      "fos_buckling": 0.2338213303857374,
      "fos_yielding": 1.8089464768574308,
      "deflection": 42934412452256.22,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1980": {
      "node_id": "node_1980",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 325.68 kg\n  Factor of Safety: 0.14\n  Max Deflection: 8.94e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 325.67853327106553,
      "fos_buckling": 0.14267963784406565,
      "fos_yielding": 1.7908633078670537,
      "deflection": 89417345481848.06,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_1979",
      "improvement_over_parent": null
    },
    "node_1981": {
      "node_id": "node_1981",
      "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 328.91 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.60e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 328.9126358414921,
      "fos_buckling": 0.8808682998151963,
      "fos_yielding": 7.235785907429723,
      "deflection": 16006226374145.52,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.435)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 384.67 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.66782266010347,
      "fos_buckling": 0.5300335584724387,
      "fos_yielding": 6.189318903660622,
      "deflection": 0.013111455979767647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008142)"
      },
      "parent_node_id": "node_1981",
      "improvement_over_parent": null
    },
    "node_1983": {
      "node_id": "node_1983",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 443.00 kg\n  Factor of Safety: 0.59\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": 442.9976281763234,
      "fos_buckling": 0.5938363079268031,
      "fos_yielding": 7.084810115686319,
      "deflection": 0.011425206386655968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_1982",
      "improvement_over_parent": null
    },
    "node_1984": {
      "node_id": "node_1984",
      "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 461.08 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.0793401842,
      "fos_buckling": 0.5931591087925887,
      "fos_yielding": 7.076852621852961,
      "deflection": 0.011050977349935381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.453)"
      },
      "parent_node_id": "node_1983",
      "improvement_over_parent": null
    },
    "node_1985": {
      "node_id": "node_1985",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.47 kg\n  Factor of Safety: 1.45\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.4745726175614,
      "fos_buckling": 1.4516651585376688,
      "fos_yielding": 14.419911966628563,
      "deflection": 0.00598418850342943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_1984",
      "improvement_over_parent": null
    },
    "node_1986": {
      "node_id": "node_1986",
      "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3828074607414,
      "fos_buckling": 1.5378625957314558,
      "fos_yielding": 14.275694284206558,
      "deflection": 0.005953142507438146,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.271)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 294)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0036)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 294.85 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 294.8539768797384,
      "fos_buckling": 0.8782315068041598,
      "fos_yielding": 7.840018329053415,
      "deflection": 0.011088934662378471,
      "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: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 341.46 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 341.45840554363576,
      "fos_buckling": 1.0034161036314972,
      "fos_yielding": 9.085616730300327,
      "deflection": 0.009600440053948797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_1988",
      "improvement_over_parent": null
    },
    "node_1990": {
      "node_id": "node_1990",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 439.52 kg\n  Factor of Safety: 1.25\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": 439.5178142002102,
      "fos_buckling": 1.254872251321771,
      "fos_yielding": 11.712140778475428,
      "deflection": 0.007499190748278812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1989",
      "improvement_over_parent": null
    },
    "node_1991": {
      "node_id": "node_1991",
      "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 456.79 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 456.7854096301495,
      "fos_buckling": 1.2426309689333928,
      "fos_yielding": 12.563078502717262,
      "deflection": 0.007050333285260584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.524)"
      },
      "parent_node_id": "node_1990",
      "improvement_over_parent": null
    },
    "node_1992": {
      "node_id": "node_1992",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 535.10 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.104278906924,
      "fos_buckling": 1.4235576491859827,
      "fos_yielding": 14.735812782244093,
      "deflection": 0.006046936746434564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1991",
      "improvement_over_parent": null
    },
    "node_1993": {
      "node_id": "node_1993",
      "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1773648639773,
      "fos_buckling": 1.5374286713491199,
      "fos_yielding": 14.26889723237019,
      "deflection": 0.00595499433738441,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.333)"
      },
      "parent_node_id": "node_1992",
      "improvement_over_parent": null
    },
    "node_1994": {
      "node_id": "node_1994",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1993",
      "improvement_over_parent": null
    },
    "node_1995": {
      "node_id": "node_1995",
      "content": "INITIAL DESIGN (Trace 295)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_1996": {
      "node_id": "node_1996",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 469.17 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.1739206839376,
      "fos_buckling": 0.9996692106961758,
      "fos_yielding": 12.51353187075744,
      "deflection": 0.009049990917709668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1995",
      "improvement_over_parent": null
    },
    "node_1997": {
      "node_id": "node_1997",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 482.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.14344019349244,
      "fos_buckling": 0.9980357975494387,
      "fos_yielding": 12.493085339793895,
      "deflection": 0.007457276474510651,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_1996",
      "improvement_over_parent": null
    },
    "node_1998": {
      "node_id": "node_1998",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2760930861131,
      "fos_buckling": 1.5376997553632548,
      "fos_yielding": 14.270324994007689,
      "deflection": 0.005954050934660083,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_1997",
      "improvement_over_parent": null
    },
    "node_1999": {
      "node_id": "node_1999",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1998",
      "improvement_over_parent": null
    },
    "node_2000": {
      "node_id": "node_2000",
      "content": "INITIAL DESIGN (Trace 296)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 460.98 kg\n  Factor of Safety: 1.00\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": 460.97712950334505,
      "fos_buckling": 0.9991764134303327,
      "fos_yielding": 12.034481046135804,
      "deflection": 0.007781371319035408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2001": {
      "node_id": "node_2001",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 503.03 kg\n  Factor of Safety: 1.17\n  Max Deflection: 6.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 503.0288600836273,
      "fos_buckling": 1.1688300054572907,
      "fos_yielding": 12.511803800974793,
      "deflection": 0.006469340017756057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006020)"
      },
      "parent_node_id": "node_2000",
      "improvement_over_parent": null
    },
    "node_2002": {
      "node_id": "node_2002",
      "content": "MODIFICATION: Increase 8 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0149)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 534.63 kg\n  Factor of Safety: 1.07\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": 534.6256776729527,
      "fos_buckling": 1.0669069482593814,
      "fos_yielding": 11.420762940882524,
      "deflection": 0.006316171717614625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.575)"
      },
      "parent_node_id": "node_2001",
      "improvement_over_parent": null
    },
    "node_2003": {
      "node_id": "node_2003",
      "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0149)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 537.67 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 537.6676730115655,
      "fos_buckling": 1.386065262345172,
      "fos_yielding": 13.7797741938218,
      "deflection": 0.006233238864352986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.506)"
      },
      "parent_node_id": "node_2002",
      "improvement_over_parent": null
    },
    "node_2004": {
      "node_id": "node_2004",
      "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0149)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 549.56 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 549.5588554949295,
      "fos_buckling": 1.3899770538756664,
      "fos_yielding": 13.328204764529504,
      "deflection": 0.006125707269653204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.305)"
      },
      "parent_node_id": "node_2003",
      "improvement_over_parent": null
    },
    "node_2005": {
      "node_id": "node_2005",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2004",
      "improvement_over_parent": null
    },
    "node_2006": {
      "node_id": "node_2006",
      "content": "INITIAL DESIGN (Trace 297)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 273.72 kg\n  Factor of Safety: 0.42\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": 273.7239693324037,
      "fos_buckling": 0.4198810794283771,
      "fos_yielding": 4.74307586676966,
      "deflection": 0.018360273937064377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2007": {
      "node_id": "node_2007",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 302.98 kg\n  Factor of Safety: 0.46\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": 302.976102286206,
      "fos_buckling": 0.4583483893884218,
      "fos_yielding": 5.234773483795492,
      "deflection": 0.016617209887991688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_2006",
      "improvement_over_parent": null
    },
    "node_2008": {
      "node_id": "node_2008",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 369.46 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.4629867906432,
      "fos_buckling": 0.5412868658967824,
      "fos_yielding": 6.341839796643241,
      "deflection": 0.013682037033871523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_2007",
      "improvement_over_parent": null
    },
    "node_2009": {
      "node_id": "node_2009",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 415.19 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.1923551495794,
      "fos_buckling": 0.5947409743163872,
      "fos_yielding": 7.094920502728032,
      "deflection": 0.012208870216850824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_2008",
      "improvement_over_parent": null
    },
    "node_2010": {
      "node_id": "node_2010",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.59 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.58758758294084,
      "fos_buckling": 0.9968310199304034,
      "fos_yielding": 12.477530862170447,
      "deflection": 0.007464182292901049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2009",
      "improvement_over_parent": null
    },
    "node_2011": {
      "node_id": "node_2011",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.19 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1903520434438,
      "fos_buckling": 1.5374951018294996,
      "fos_yielding": 14.266917110801073,
      "deflection": 0.005954993040624808,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 298)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 288.89 kg\n  Factor of Safety: 0.65\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": 288.8893748265445,
      "fos_buckling": 0.6522419350334745,
      "fos_yielding": 7.618527668242174,
      "deflection": 0.01222948038284153,
      "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: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 336.17 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 336.16977617392496,
      "fos_buckling": 0.7441439381689359,
      "fos_yielding": 8.838617563798001,
      "deflection": 0.01054113436874214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_2013",
      "improvement_over_parent": null
    },
    "node_2015": {
      "node_id": "node_2015",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 381.12 kg\n  Factor of Safety: 1.00\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": 381.11742906600773,
      "fos_buckling": 0.9960493610397517,
      "fos_yielding": 10.123517597501921,
      "deflection": 0.008475894682234602,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006461)"
      },
      "parent_node_id": "node_2014",
      "improvement_over_parent": null
    },
    "node_2016": {
      "node_id": "node_2016",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 420.96 kg\n  Factor of Safety: 1.09\n  Max Deflection: 7.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 420.9562545023628,
      "fos_buckling": 1.0862014672415239,
      "fos_yielding": 11.19087802372472,
      "deflection": 0.0076923218369029794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_2015",
      "improvement_over_parent": null
    },
    "node_2017": {
      "node_id": "node_2017",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 483.06 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.73e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 483.0642071764131,
      "fos_buckling": 1.2217688902882184,
      "fos_yielding": 12.858231606114321,
      "deflection": 0.0067285330493755575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_2016",
      "improvement_over_parent": null
    },
    "node_2018": {
      "node_id": "node_2018",
      "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 485.41 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.68e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.4144044322351,
      "fos_buckling": 1.3989042786945727,
      "fos_yielding": 12.664961067625446,
      "deflection": 0.006675974304297177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.410)"
      },
      "parent_node_id": "node_2017",
      "improvement_over_parent": null
    },
    "node_2019": {
      "node_id": "node_2019",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.376940010244,
      "fos_buckling": 1.5378760313167168,
      "fos_yielding": 14.274187351385995,
      "deflection": 0.005952889650971765,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2018",
      "improvement_over_parent": null
    },
    "node_2020": {
      "node_id": "node_2020",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2019",
      "improvement_over_parent": null
    },
    "node_2021": {
      "node_id": "node_2021",
      "content": "INITIAL DESIGN (Trace 299)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n\nPerformance:\n  Mass: 212.40 kg\n  Factor of Safety: 0.50\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": 212.40293149900955,
      "fos_buckling": 0.5021729404058343,
      "fos_yielding": 5.71892346197996,
      "deflection": 0.01663462290606118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2022": {
      "node_id": "node_2022",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0035)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n\nPerformance:\n  Mass: 241.27 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.26528965756577,
      "fos_buckling": 0.7733754898523586,
      "fos_yielding": 6.200458333406711,
      "deflection": 0.013353034883636795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004058)"
      },
      "parent_node_id": "node_2021",
      "improvement_over_parent": null
    },
    "node_2023": {
      "node_id": "node_2023",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n\nPerformance:\n  Mass: 294.28 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 294.2756559419434,
      "fos_buckling": 0.9248829315181286,
      "fos_yielding": 7.570664637275384,
      "deflection": 0.010982168329454185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_2022",
      "improvement_over_parent": null
    },
    "node_2024": {
      "node_id": "node_2024",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n\nPerformance:\n  Mass: 330.58 kg\n  Factor of Safety: 1.02\n  Max Deflection: 9.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 330.58270309519304,
      "fos_buckling": 1.0249028115977636,
      "fos_yielding": 8.510799242321877,
      "deflection": 0.009797056010630384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_2023",
      "improvement_over_parent": null
    },
    "node_2025": {
      "node_id": "node_2025",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 417.07 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 417.07475536206067,
      "fos_buckling": 1.251034400696819,
      "fos_yielding": 10.755988274269917,
      "deflection": 0.007805017789432622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2024",
      "improvement_over_parent": null
    },
    "node_2026": {
      "node_id": "node_2026",
      "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 424.84 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.8357946801688,
      "fos_buckling": 1.2528524241572616,
      "fos_yielding": 11.069171806946114,
      "deflection": 0.007600099408711313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.206)"
      },
      "parent_node_id": "node_2025",
      "improvement_over_parent": null
    },
    "node_2027": {
      "node_id": "node_2027",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.606657383172,
      "fos_buckling": 1.536117221203145,
      "fos_yielding": 14.252758966317668,
      "deflection": 0.005961040215853413,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2026",
      "improvement_over_parent": null
    },
    "node_2028": {
      "node_id": "node_2028",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2027",
      "improvement_over_parent": null
    },
    "node_2029": {
      "node_id": "node_2029",
      "content": "INITIAL DESIGN (Trace 300)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\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_2030": {
      "node_id": "node_2030",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n\nPerformance:\n  Mass: 353.24 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 353.23839243513396,
      "fos_buckling": 0.8454724841414623,
      "fos_yielding": 10.237914561573985,
      "deflection": 0.011231322360583941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006927)"
      },
      "parent_node_id": "node_2029",
      "improvement_over_parent": null
    },
    "node_2031": {
      "node_id": "node_2031",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 434.63 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.627863367217,
      "fos_buckling": 1.0011891612523318,
      "fos_yielding": 12.53299077239844,
      "deflection": 0.00918139454152751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_2030",
      "improvement_over_parent": null
    },
    "node_2032": {
      "node_id": "node_2032",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.76 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.7605162598376,
      "fos_buckling": 0.9971487378490084,
      "fos_yielding": 12.482412329092986,
      "deflection": 0.00746152573008118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2031",
      "improvement_over_parent": null
    },
    "node_2033": {
      "node_id": "node_2033",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.36 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3632807203405,
      "fos_buckling": 1.537892610453615,
      "fos_yielding": 14.273243075013864,
      "deflection": 0.005953064511265626,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 301)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n\nPerformance:\n  Mass: 340.93 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 340.9336100452401,
      "fos_buckling": 0.7860521008438751,
      "fos_yielding": 7.678339162579217,
      "deflection": 0.010780141925517557,
      "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: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n\nPerformance:\n  Mass: 351.45 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.44543665571615,
      "fos_buckling": 0.7855273397701183,
      "fos_yielding": 7.673213174748007,
      "deflection": 0.010533335457419449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.217)"
      },
      "parent_node_id": "node_2035",
      "improvement_over_parent": null
    },
    "node_2037": {
      "node_id": "node_2037",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n\nPerformance:\n  Mass: 359.95 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.91e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 359.95109957081934,
      "fos_buckling": 0.7851032409852737,
      "fos_yielding": 9.399311981523347,
      "deflection": 0.009913155965267536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.241)"
      },
      "parent_node_id": "node_2036",
      "improvement_over_parent": null
    },
    "node_2038": {
      "node_id": "node_2038",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 397.04 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.036325238321,
      "fos_buckling": 0.8525243472430153,
      "fos_yielding": 10.343669568499545,
      "deflection": 0.009007978486424989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_2037",
      "improvement_over_parent": null
    },
    "node_2039": {
      "node_id": "node_2039",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.00 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.0047988170715,
      "fos_buckling": 0.9977964482058755,
      "fos_yielding": 12.490925434109522,
      "deflection": 0.00745922346626366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_2038",
      "improvement_over_parent": null
    },
    "node_2040": {
      "node_id": "node_2040",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.14 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1374517096921,
      "fos_buckling": 1.5373211480784235,
      "fos_yielding": 14.265284522387367,
      "deflection": 0.0059555884264883485,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 302)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 395.20 kg\n  Factor of Safety: 0.60\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": 395.2005289860123,
      "fos_buckling": 0.5955968548105586,
      "fos_yielding": 7.105241588109966,
      "deflection": 0.012192700858397208,
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 442.80 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 442.8032934465152,
      "fos_buckling": 0.593806463355957,
      "fos_yielding": 7.084205368746523,
      "deflection": 0.0110187383763743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2042",
      "improvement_over_parent": null
    },
    "node_2044": {
      "node_id": "node_2044",
      "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.89 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.89245749975294,
      "fos_buckling": 0.5930541138945911,
      "fos_yielding": 7.075365060969116,
      "deflection": 0.011030294960730847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.527)"
      },
      "parent_node_id": "node_2043",
      "improvement_over_parent": null
    },
    "node_2045": {
      "node_id": "node_2045",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2876899331144,
      "fos_buckling": 1.537621979512964,
      "fos_yielding": 14.270120700867535,
      "deflection": 0.005953925045659477,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2044",
      "improvement_over_parent": null
    },
    "node_2046": {
      "node_id": "node_2046",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2045",
      "improvement_over_parent": null
    },
    "node_2047": {
      "node_id": "node_2047",
      "content": "INITIAL DESIGN (Trace 303)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 442.27 kg\n  Factor of Safety: 0.50\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": 442.27226777502744,
      "fos_buckling": 0.49895871424120675,
      "fos_yielding": 7.092300577107365,
      "deflection": 0.011718750088104968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2048": {
      "node_id": "node_2048",
      "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 451.19 kg\n  Factor of Safety: 0.59\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": 451.1868964323479,
      "fos_buckling": 0.5935344064864888,
      "fos_yielding": 7.080509819834863,
      "deflection": 0.01110291835455296,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.253)"
      },
      "parent_node_id": "node_2047",
      "improvement_over_parent": null
    },
    "node_2049": {
      "node_id": "node_2049",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 534.58 kg\n  Factor of Safety: 1.41\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": 534.5821288657094,
      "fos_buckling": 1.409860856705991,
      "fos_yielding": 14.76957525172097,
      "deflection": 0.006052329872197124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2048",
      "improvement_over_parent": null
    },
    "node_2050": {
      "node_id": "node_2050",
      "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2620019908281,
      "fos_buckling": 1.5376326023514257,
      "fos_yielding": 14.270281430533311,
      "deflection": 0.0059541685983424235,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.357)"
      },
      "parent_node_id": "node_2049",
      "improvement_over_parent": null
    },
    "node_2051": {
      "node_id": "node_2051",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2050",
      "improvement_over_parent": null
    },
    "node_2052": {
      "node_id": "node_2052",
      "content": "INITIAL DESIGN (Trace 304)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 448.92 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.9241026604793,
      "fos_buckling": 0.5934931641195451,
      "fos_yielding": 7.080524059858794,
      "deflection": 0.011117655854113133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2053": {
      "node_id": "node_2053",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 451.16 kg\n  Factor of Safety: 0.59\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": 451.1622371642326,
      "fos_buckling": 0.5934931641195452,
      "fos_yielding": 7.080524059858789,
      "deflection": 0.011090921220684656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.332)"
      },
      "parent_node_id": "node_2052",
      "improvement_over_parent": null
    },
    "node_2054": {
      "node_id": "node_2054",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 534.56 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 534.557469597594,
      "fos_buckling": 1.493064374837605,
      "fos_yielding": 14.656002209882384,
      "deflection": 0.00603585125766506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2053",
      "improvement_over_parent": null
    },
    "node_2055": {
      "node_id": "node_2055",
      "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2530142065557,
      "fos_buckling": 1.5376225650500714,
      "fos_yielding": 14.270468193471716,
      "deflection": 0.005954216945171097,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.245)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 305)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n\nPerformance:\n  Mass: 238.93 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.63e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.93374195549708,
      "fos_buckling": 0.3075937507098729,
      "fos_yielding": 2.411928635809908,
      "deflection": 16253689108191.166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2058": {
      "node_id": "node_2058",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 277.37 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 277.36512846222683,
      "fos_buckling": 0.3854979599681068,
      "fos_yielding": 4.314768864041403,
      "deflection": 0.018203333733366214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005474)"
      },
      "parent_node_id": "node_2057",
      "improvement_over_parent": null
    },
    "node_2059": {
      "node_id": "node_2059",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 359.95 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 359.94929959248685,
      "fos_buckling": 0.48275862387897134,
      "fos_yielding": 5.555650979409614,
      "deflection": 0.014097021597023156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_2058",
      "improvement_over_parent": null
    },
    "node_2060": {
      "node_id": "node_2060",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 424.79 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.79385121621556,
      "fos_buckling": 1.2527492825292268,
      "fos_yielding": 11.067466272624813,
      "deflection": 0.007600987639446557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008232)"
      },
      "parent_node_id": "node_2059",
      "improvement_over_parent": null
    },
    "node_2061": {
      "node_id": "node_2061",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.31 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3101543957054,
      "fos_buckling": 1.5376820145929375,
      "fos_yielding": 14.270583024891648,
      "deflection": 0.005953735654025482,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_2060",
      "improvement_over_parent": null
    },
    "node_2062": {
      "node_id": "node_2062",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2061",
      "improvement_over_parent": null
    },
    "node_2063": {
      "node_id": "node_2063",
      "content": "INITIAL DESIGN (Trace 306)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 350.13 kg\n  Factor of Safety: 0.86\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 350.12841451123535,
      "fos_buckling": 0.8593615263656875,
      "fos_yielding": 8.810793785486426,
      "deflection": 0.00918379853190273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2064": {
      "node_id": "node_2064",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 411.64 kg\n  Factor of Safety: 0.99\n  Max Deflection: 7.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.6402810529436,
      "fos_buckling": 0.9923543672749857,
      "fos_yielding": 10.303535855106329,
      "deflection": 0.007840452880593454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2063",
      "improvement_over_parent": null
    },
    "node_2065": {
      "node_id": "node_2065",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 528.55 kg\n  Factor of Safety: 1.23\n  Max Deflection: 6.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.5500477338652,
      "fos_buckling": 1.231233672002049,
      "fos_yielding": 13.104214377205583,
      "deflection": 0.0061490773096051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_2064",
      "improvement_over_parent": null
    },
    "node_2066": {
      "node_id": "node_2066",
      "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.44 kg\n  Factor of Safety: 1.24\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.4412332262666,
      "fos_buckling": 1.2365795517054943,
      "fos_yielding": 13.161111418978969,
      "deflection": 0.006014448358960691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.499)"
      },
      "parent_node_id": "node_2065",
      "improvement_over_parent": null
    },
    "node_2067": {
      "node_id": "node_2067",
      "content": "MODIFICATION: Increase 6 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.82 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.8247622490419,
      "fos_buckling": 1.5388603022374079,
      "fos_yielding": 14.285712168093424,
      "deflection": 0.005948176717343751,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.592)"
      },
      "parent_node_id": "node_2066",
      "improvement_over_parent": null
    },
    "node_2068": {
      "node_id": "node_2068",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2067",
      "improvement_over_parent": null
    },
    "node_2069": {
      "node_id": "node_2069",
      "content": "INITIAL DESIGN (Trace 307)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 396.68 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 396.68066121061327,
      "fos_buckling": 0.8976734122763876,
      "fos_yielding": 10.98889639359802,
      "deflection": 0.008933919638087316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2070": {
      "node_id": "node_2070",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 410.99 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.99422526688966,
      "fos_buckling": 0.8968604298845582,
      "fos_yielding": 10.978944244908465,
      "deflection": 0.00860235150187247,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.389)"
      },
      "parent_node_id": "node_2069",
      "improvement_over_parent": null
    },
    "node_2071": {
      "node_id": "node_2071",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 467.10 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.10314647738676,
      "fos_buckling": 1.3386387728546931,
      "fos_yielding": 12.826484983425951,
      "deflection": 0.006877405063131571,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008198)"
      },
      "parent_node_id": "node_2070",
      "improvement_over_parent": null
    },
    "node_2072": {
      "node_id": "node_2072",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 533.99 kg\n  Factor of Safety: 1.49\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": 533.9926942324171,
      "fos_buckling": 1.4908003932117129,
      "fos_yielding": 14.675273008289858,
      "deflection": 0.0060406193628698,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_2071",
      "improvement_over_parent": null
    },
    "node_2073": {
      "node_id": "node_2073",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0136)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 553.12 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.83e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 553.1194258934452,
      "fos_buckling": 1.5432333256366657,
      "fos_yielding": 15.198633160292877,
      "deflection": 0.005831193038064687,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.259)"
      },
      "parent_node_id": "node_2072",
      "improvement_over_parent": null
    },
    "node_2074": {
      "node_id": "node_2074",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2073",
      "improvement_over_parent": null
    },
    "node_2075": {
      "node_id": "node_2075",
      "content": "INITIAL DESIGN (Trace 308)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 315.04 kg\n  Factor of Safety: 0.81\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": 315.03826604777635,
      "fos_buckling": 0.8102652380226386,
      "fos_yielding": 9.741431047298235,
      "deflection": 0.011797010248320791,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2076": {
      "node_id": "node_2076",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 327.34 kg\n  Factor of Safety: 0.81\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": 327.3399597670304,
      "fos_buckling": 0.8096312311800047,
      "fos_yielding": 9.733808686556083,
      "deflection": 0.011809163017795584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.445)"
      },
      "parent_node_id": "node_2075",
      "improvement_over_parent": null
    },
    "node_2077": {
      "node_id": "node_2077",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 373.34 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.33608804223786,
      "fos_buckling": 0.9032734856995335,
      "fos_yielding": 11.067047811163116,
      "deflection": 0.010390773515382359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2076",
      "improvement_over_parent": null
    },
    "node_2078": {
      "node_id": "node_2078",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 382.31 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 382.31173877332657,
      "fos_buckling": 0.9027595723122117,
      "fos_yielding": 11.060751264083725,
      "deflection": 0.010398549893525545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.205)"
      },
      "parent_node_id": "node_2077",
      "improvement_over_parent": null
    },
    "node_2079": {
      "node_id": "node_2079",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 424.18 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.45e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.180506011575,
      "fos_buckling": 0.9003700233953196,
      "fos_yielding": 11.031474137577707,
      "deflection": 0.008445701879630547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007543)"
      },
      "parent_node_id": "node_2078",
      "improvement_over_parent": null
    },
    "node_2080": {
      "node_id": "node_2080",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 480.59 kg\n  Factor of Safety: 1.39\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": 480.5859977865605,
      "fos_buckling": 1.387621534861136,
      "fos_yielding": 12.538578506173035,
      "deflection": 0.006740976824207576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008245)"
      },
      "parent_node_id": "node_2079",
      "improvement_over_parent": null
    },
    "node_2081": {
      "node_id": "node_2081",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6301107910097,
      "fos_buckling": 1.5385056949368483,
      "fos_yielding": 14.281883930611809,
      "deflection": 0.005950128779493107,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_2080",
      "improvement_over_parent": null
    },
    "node_2082": {
      "node_id": "node_2082",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2081",
      "improvement_over_parent": null
    },
    "node_2083": {
      "node_id": "node_2083",
      "content": "INITIAL DESIGN (Trace 309)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n\nPerformance:\n  Mass: 309.64 kg\n  Factor of Safety: 0.77\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": 309.6438234260969,
      "fos_buckling": 0.7661404666389312,
      "fos_yielding": 6.73380103063582,
      "deflection": 0.012413644548014033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2084": {
      "node_id": "node_2084",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 351.42 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.4214954468745,
      "fos_buckling": 0.8519309532507793,
      "fos_yielding": 7.634168929329179,
      "deflection": 0.010960432628495687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_2083",
      "improvement_over_parent": null
    },
    "node_2085": {
      "node_id": "node_2085",
      "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 364.63 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 364.63394043158297,
      "fos_buckling": 0.851216672667738,
      "fos_yielding": 10.314754525285904,
      "deflection": 0.010078985360411366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.379)"
      },
      "parent_node_id": "node_2084",
      "improvement_over_parent": null
    },
    "node_2086": {
      "node_id": "node_2086",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 403.67 kg\n  Factor of Safety: 1.05\n  Max Deflection: 8.33e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 403.66568070502103,
      "fos_buckling": 1.0475959610952867,
      "fos_yielding": 10.049078669744917,
      "deflection": 0.008325334219935547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006992)"
      },
      "parent_node_id": "node_2085",
      "improvement_over_parent": null
    },
    "node_2087": {
      "node_id": "node_2087",
      "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 421.89 kg\n  Factor of Safety: 0.96\n  Max Deflection: 7.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.89326701187684,
      "fos_buckling": 0.9645891878055315,
      "fos_yielding": 10.633248801029486,
      "deflection": 0.00790074765332239,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.603)"
      },
      "parent_node_id": "node_2086",
      "improvement_over_parent": null
    },
    "node_2088": {
      "node_id": "node_2088",
      "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0116)]\n\nPerformance:\n  Mass: 444.61 kg\n  Factor of Safety: 0.96\n  Max Deflection: 7.75e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.60869368787195,
      "fos_buckling": 0.9604770866250468,
      "fos_yielding": 10.219147769391569,
      "deflection": 0.00775253806062178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.661)"
      },
      "parent_node_id": "node_2087",
      "improvement_over_parent": null
    },
    "node_2089": {
      "node_id": "node_2089",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0144)]\n\nPerformance:\n  Mass: 541.58 kg\n  Factor of Safety: 1.15\n  Max Deflection: 6.39e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.5777022584494,
      "fos_buckling": 1.148069029750813,
      "fos_yielding": 12.507701256186937,
      "deflection": 0.006388114605532941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2088",
      "improvement_over_parent": null
    },
    "node_2090": {
      "node_id": "node_2090",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2089",
      "improvement_over_parent": null
    },
    "node_2091": {
      "node_id": "node_2091",
      "content": "INITIAL DESIGN (Trace 310)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0033)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n\nPerformance:\n  Mass: 219.29 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.287774074796,
      "fos_buckling": 0.36672289533065017,
      "fos_yielding": 4.336504775115267,
      "deflection": 0.017742229772225004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2092": {
      "node_id": "node_2092",
      "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0044)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0050)]\n\nPerformance:\n  Mass: 232.70 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.7049714751939,
      "fos_buckling": 0.53523783853145,
      "fos_yielding": 6.12391977389091,
      "deflection": 0.015210707085740358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.520)"
      },
      "parent_node_id": "node_2091",
      "improvement_over_parent": null
    },
    "node_2093": {
      "node_id": "node_2093",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n\nPerformance:\n  Mass: 273.94 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 273.94156714474315,
      "fos_buckling": 0.6195742255601411,
      "fos_yielding": 7.190395778200631,
      "deflection": 0.012954496774672435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_2092",
      "improvement_over_parent": null
    },
    "node_2094": {
      "node_id": "node_2094",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 337.59 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 337.58580982586346,
      "fos_buckling": 0.7436593313056558,
      "fos_yielding": 8.825562006144034,
      "deflection": 0.01055413202106563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2093",
      "improvement_over_parent": null
    },
    "node_2095": {
      "node_id": "node_2095",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 382.51 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.42e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 382.5138477026364,
      "fos_buckling": 1.1460196529516884,
      "fos_yielding": 9.955650743048913,
      "deflection": 0.008419630011966647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006458)"
      },
      "parent_node_id": "node_2094",
      "improvement_over_parent": null
    },
    "node_2096": {
      "node_id": "node_2096",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 484.49 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.69e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 484.49456984665426,
      "fos_buckling": 1.396573658865453,
      "fos_yielding": 12.637520237030515,
      "deflection": 0.006688501394894398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2095",
      "improvement_over_parent": null
    },
    "node_2097": {
      "node_id": "node_2097",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.79 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.7906364797343,
      "fos_buckling": 1.536398177508388,
      "fos_yielding": 14.255135646527078,
      "deflection": 0.005959270623270662,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_2096",
      "improvement_over_parent": null
    },
    "node_2098": {
      "node_id": "node_2098",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2097",
      "improvement_over_parent": null
    },
    "node_2099": {
      "node_id": "node_2099",
      "content": "INITIAL DESIGN (Trace 311)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 376.07 kg\n  Factor of Safety: 0.95\n  Max Deflection: 8.64e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.0662680153291,
      "fos_buckling": 0.9482373392484138,
      "fos_yielding": 11.352946313686541,
      "deflection": 0.008644010553835969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2100": {
      "node_id": "node_2100",
      "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 395.65 kg\n  Factor of Safety: 1.03\n  Max Deflection: 8.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.6471425259671,
      "fos_buckling": 1.0310969399692627,
      "fos_yielding": 10.59662860759885,
      "deflection": 0.008302789392308383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.664)"
      },
      "parent_node_id": "node_2099",
      "improvement_over_parent": null
    },
    "node_2101": {
      "node_id": "node_2101",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 406.83 kg\n  Factor of Safety: 1.03\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": 406.8331701253714,
      "fos_buckling": 1.0281197613194186,
      "fos_yielding": 10.274591474383374,
      "deflection": 0.008156723056572333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.300)"
      },
      "parent_node_id": "node_2100",
      "improvement_over_parent": null
    },
    "node_2102": {
      "node_id": "node_2102",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 449.07 kg\n  Factor of Safety: 1.12\n  Max Deflection: 7.41e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.0700739151006,
      "fos_buckling": 1.1220508541248215,
      "fos_yielding": 11.3522773433067,
      "deflection": 0.007406259469839224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_2101",
      "improvement_over_parent": null
    },
    "node_2103": {
      "node_id": "node_2103",
      "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 470.00 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 470.00468880611686,
      "fos_buckling": 1.3871862030320294,
      "fos_yielding": 12.076513388893693,
      "deflection": 0.006977127086093425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.431)"
      },
      "parent_node_id": "node_2102",
      "improvement_over_parent": null
    },
    "node_2104": {
      "node_id": "node_2104",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 481.49 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.73e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.49175215363914,
      "fos_buckling": 1.3897005763847434,
      "fos_yielding": 12.561835887433462,
      "deflection": 0.006728669380252061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.289)"
      },
      "parent_node_id": "node_2103",
      "improvement_over_parent": null
    },
    "node_2105": {
      "node_id": "node_2105",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.92 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9156664143061,
      "fos_buckling": 1.5368677454624051,
      "fos_yielding": 14.262304145222895,
      "deflection": 0.005957665357981975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2104",
      "improvement_over_parent": null
    },
    "node_2106": {
      "node_id": "node_2106",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2105",
      "improvement_over_parent": null
    },
    "node_2107": {
      "node_id": "node_2107",
      "content": "INITIAL DESIGN (Trace 312)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 369.22 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.21693909199894,
      "fos_buckling": 0.7402828166378467,
      "fos_yielding": 6.931069194969163,
      "deflection": 0.01359580181010201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2108": {
      "node_id": "node_2108",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n\nPerformance:\n  Mass: 378.48 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.66e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.4756784961721,
      "fos_buckling": 1.147678120404423,
      "fos_yielding": 9.65483135471687,
      "deflection": 0.008660770944079663,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004360)"
      },
      "parent_node_id": "node_2107",
      "improvement_over_parent": null
    },
    "node_2109": {
      "node_id": "node_2109",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n\nPerformance:\n  Mass: 418.74 kg\n  Factor of Safety: 1.25\n  Max Deflection: 7.85e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.7413277000808,
      "fos_buckling": 1.2506163578337803,
      "fos_yielding": 10.6904787711756,
      "deflection": 0.007845858017073588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_2108",
      "improvement_over_parent": null
    },
    "node_2110": {
      "node_id": "node_2110",
      "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n\nPerformance:\n  Mass: 431.43 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 431.43437812514264,
      "fos_buckling": 1.2690040753473222,
      "fos_yielding": 11.24260935408918,
      "deflection": 0.00748679780537597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.376)"
      },
      "parent_node_id": "node_2109",
      "improvement_over_parent": null
    },
    "node_2111": {
      "node_id": "node_2111",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.96 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.9617434842436,
      "fos_buckling": 1.5389600761830136,
      "fos_yielding": 14.288486932779753,
      "deflection": 0.005946717637604455,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 313)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\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_2114": {
      "node_id": "node_2114",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n\nPerformance:\n  Mass: 334.82 kg\n  Factor of Safety: 0.80\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": 334.8173395694838,
      "fos_buckling": 0.7954498171500313,
      "fos_yielding": 9.53831293033438,
      "deflection": 0.010073060116516538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004208)"
      },
      "parent_node_id": "node_2113",
      "improvement_over_parent": null
    },
    "node_2115": {
      "node_id": "node_2115",
      "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0131)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n\nPerformance:\n  Mass: 370.53 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.52e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.526765788771,
      "fos_buckling": 0.7936480299323738,
      "fos_yielding": 9.516707531797154,
      "deflection": 0.009515385100432958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.634)"
      },
      "parent_node_id": "node_2114",
      "improvement_over_parent": null
    },
    "node_2116": {
      "node_id": "node_2116",
      "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0098)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0131)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n\nPerformance:\n  Mass: 387.51 kg\n  Factor of Safety: 0.79\n  Max Deflection: 9.43e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.5083397599812,
      "fos_buckling": 0.7927940529439782,
      "fos_yielding": 9.50646741409896,
      "deflection": 0.009432595091927133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.524)"
      },
      "parent_node_id": "node_2115",
      "improvement_over_parent": null
    },
    "node_2117": {
      "node_id": "node_2117",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0098)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0131)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n\nPerformance:\n  Mass: 436.03 kg\n  Factor of Safety: 1.02\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.02590541778505,
      "fos_buckling": 1.0167661774233225,
      "fos_yielding": 12.678465479602199,
      "deflection": 0.007599811664580404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007010)"
      },
      "parent_node_id": "node_2116",
      "improvement_over_parent": null
    },
    "node_2118": {
      "node_id": "node_2118",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0117)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0156)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 514.34 kg\n  Factor of Safety: 1.18\n  Max Deflection: 6.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 514.3370397540493,
      "fos_buckling": 1.181309517645042,
      "fos_yielding": 14.980708681736685,
      "deflection": 0.006463300169742496,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_2117",
      "improvement_over_parent": null
    },
    "node_2119": {
      "node_id": "node_2119",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0132)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0177)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 574.52 kg\n  Factor of Safety: 1.30\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 574.5238835954011,
      "fos_buckling": 1.3041132055195221,
      "fos_yielding": 16.75553741817258,
      "deflection": 0.005800034442209435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2118",
      "improvement_over_parent": null
    },
    "node_2120": {
      "node_id": "node_2120",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2119",
      "improvement_over_parent": null
    },
    "node_2121": {
      "node_id": "node_2121",
      "content": "INITIAL DESIGN (Trace 314)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 450.70 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 450.69572947798554,
      "fos_buckling": 1.0008360698862242,
      "fos_yielding": 12.52813823204888,
      "deflection": 0.009014343429019968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2122": {
      "node_id": "node_2122",
      "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 471.62 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.61788437624625,
      "fos_buckling": 0.9995150831914463,
      "fos_yielding": 12.511602553117214,
      "deflection": 0.009014343429019972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.531)"
      },
      "parent_node_id": "node_2121",
      "improvement_over_parent": null
    },
    "node_2123": {
      "node_id": "node_2123",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 484.59 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 484.5874038858011,
      "fos_buckling": 0.9978821732689137,
      "fos_yielding": 12.491162321349481,
      "deflection": 0.007601749125931372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2122",
      "improvement_over_parent": null
    },
    "node_2124": {
      "node_id": "node_2124",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.70 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.700978317318,
      "fos_buckling": 0.9969959372438332,
      "fos_yielding": 12.480068708956306,
      "deflection": 0.0074626355942814145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.462)"
      },
      "parent_node_id": "node_2123",
      "improvement_over_parent": null
    },
    "node_2125": {
      "node_id": "node_2125",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.303742777821,
      "fos_buckling": 1.5376960311438372,
      "fos_yielding": 14.269397428988649,
      "deflection": 0.005953865211985617,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2124",
      "improvement_over_parent": null
    },
    "node_2126": {
      "node_id": "node_2126",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2125",
      "improvement_over_parent": null
    },
    "node_2127": {
      "node_id": "node_2127",
      "content": "INITIAL DESIGN (Trace 315)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\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_2128": {
      "node_id": "node_2128",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 280.01 kg\n  Factor of Safety: 0.06\n  Max Deflection: 1.77e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 280.0142319108459,
      "fos_buckling": 0.0553024096658451,
      "fos_yielding": 0.4522366192143577,
      "deflection": 177212615220344.94,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007211)"
      },
      "parent_node_id": "node_2127",
      "improvement_over_parent": null
    },
    "node_2129": {
      "node_id": "node_2129",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 350.38 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 350.38088530085145,
      "fos_buckling": 0.5181490244151169,
      "fos_yielding": 6.025486499525986,
      "deflection": 0.014410370963713904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008989)"
      },
      "parent_node_id": "node_2128",
      "improvement_over_parent": null
    },
    "node_2130": {
      "node_id": "node_2130",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 390.54 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.5444062526341,
      "fos_buckling": 0.5168305905689492,
      "fos_yielding": 6.01035099722803,
      "deflection": 0.01301668428785121,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007211)"
      },
      "parent_node_id": "node_2129",
      "improvement_over_parent": null
    },
    "node_2131": {
      "node_id": "node_2131",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.73 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.72924927305206,
      "fos_buckling": 0.5929330891271948,
      "fos_yielding": 7.073012110199201,
      "deflection": 0.01103378915626606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.12 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1244817064135,
      "fos_buckling": 1.5373304839629156,
      "fos_yielding": 14.265610158573093,
      "deflection": 0.005955638707991288,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 316)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 217.04 kg\n  Factor of Safety: 0.07\n  Max Deflection: 1.51e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.03739135075443,
      "fos_buckling": 0.07017876640342627,
      "fos_yielding": 1.1493132050545931,
      "deflection": 151034430327179.06,
      "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: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 275.59 kg\n  Factor of Safety: 92.67\n  Max Deflection: 1.62e+14 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 275.58547602113964,
      "fos_buckling": 92.66533842915901,
      "fos_yielding": 2.2986264101091862,
      "deflection": 162481896755984.53,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007381)"
      },
      "parent_node_id": "node_2134",
      "improvement_over_parent": null
    },
    "node_2136": {
      "node_id": "node_2136",
      "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 277.33 kg\n  Factor of Safety: 92.67\n  Max Deflection: 1.62e+14 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 277.33167748293835,
      "fos_buckling": 92.66533842915901,
      "fos_yielding": 2.2986264101091862,
      "deflection": 162481896755984.53,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.370)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 335.88 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 335.87976215332355,
      "fos_buckling": 0.7451994696809271,
      "fos_yielding": 8.853042692123983,
      "deflection": 0.010578511253697177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007381)"
      },
      "parent_node_id": "node_2136",
      "improvement_over_parent": null
    },
    "node_2138": {
      "node_id": "node_2138",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 409.28 kg\n  Factor of Safety: 0.88\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 409.276031640656,
      "fos_buckling": 0.8801129008420331,
      "fos_yielding": 10.73757802435954,
      "deflection": 0.008720545653984451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_2137",
      "improvement_over_parent": null
    },
    "node_2139": {
      "node_id": "node_2139",
      "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 412.42 kg\n  Factor of Safety: 0.88\n  Max Deflection: 8.68e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 412.41910403630624,
      "fos_buckling": 0.8797628789599415,
      "fos_yielding": 10.733307677605618,
      "deflection": 0.008680474104973104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.427)"
      },
      "parent_node_id": "node_2138",
      "improvement_over_parent": null
    },
    "node_2140": {
      "node_id": "node_2140",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 481.88 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.881954810926,
      "fos_buckling": 0.9975863968735283,
      "fos_yielding": 12.4869300171708,
      "deflection": 0.007461231372398969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_2139",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.01 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0146077035466,
      "fos_buckling": 1.536963338220702,
      "fos_yielding": 14.258638481747974,
      "deflection": 0.005957045246341343,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2140",
      "improvement_over_parent": null
    },
    "node_2142": {
      "node_id": "node_2142",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2141",
      "improvement_over_parent": null
    },
    "node_2143": {
      "node_id": "node_2143",
      "content": "INITIAL DESIGN (Trace 317)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_2144": {
      "node_id": "node_2144",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.15 kg\n  Factor of Safety: 1.00\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": 482.1465619988734,
      "fos_buckling": 0.9980356238604884,
      "fos_yielding": 12.493083165612479,
      "deflection": 0.007457272458590764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2143",
      "improvement_over_parent": null
    },
    "node_2145": {
      "node_id": "node_2145",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.279214891494,
      "fos_buckling": 1.5377003541588654,
      "fos_yielding": 14.269864165691677,
      "deflection": 0.005954037788644468,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 318)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n\nPerformance:\n  Mass: 287.84 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 287.8423181295183,
      "fos_buckling": 0.35459873299789413,
      "fos_yielding": 3.688028209444967,
      "deflection": 0.01752951419940422,
      "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 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n\nPerformance:\n  Mass: 295.76 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 295.7619571862631,
      "fos_buckling": 0.3544215022260439,
      "fos_yielding": 3.6861849087635483,
      "deflection": 0.01740453855575991,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.370)"
      },
      "parent_node_id": "node_2147",
      "improvement_over_parent": null
    },
    "node_2149": {
      "node_id": "node_2149",
      "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n\nPerformance:\n  Mass: 297.01 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.70e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 297.00572199355406,
      "fos_buckling": 0.40934882259443645,
      "fos_yielding": 4.61313083120861,
      "deflection": 0.017019355422354294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.266)"
      },
      "parent_node_id": "node_2148",
      "improvement_over_parent": null
    },
    "node_2150": {
      "node_id": "node_2150",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 378.17 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.16699265996135,
      "fos_buckling": 0.5031627883702753,
      "fos_yielding": 5.828607178306084,
      "deflection": 0.013432306604772517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_2149",
      "improvement_over_parent": null
    },
    "node_2151": {
      "node_id": "node_2151",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.23 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.2255358308353,
      "fos_buckling": 0.5934079749081591,
      "fos_yielding": 7.082560570688045,
      "deflection": 0.01102196495873913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2150",
      "improvement_over_parent": null
    },
    "node_2152": {
      "node_id": "node_2152",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6207682641967,
      "fos_buckling": 1.5378935810185221,
      "fos_yielding": 14.278809385632304,
      "deflection": 0.005950514684918065,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2151",
      "improvement_over_parent": null
    },
    "node_2153": {
      "node_id": "node_2153",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2152",
      "improvement_over_parent": null
    },
    "node_2154": {
      "node_id": "node_2154",
      "content": "INITIAL DESIGN (Trace 319)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 410.96 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.9608756329394,
      "fos_buckling": 0.5951655433873653,
      "fos_yielding": 6.691434598865158,
      "deflection": 0.01255175014296008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2155": {
      "node_id": "node_2155",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 494.36 kg\n  Factor of Safety: 1.00\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": 494.35610806630086,
      "fos_buckling": 0.9975397964766207,
      "fos_yielding": 12.486876560763555,
      "deflection": 0.007504319390538607,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2154",
      "improvement_over_parent": null
    },
    "node_2156": {
      "node_id": "node_2156",
      "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.6788203990277,
      "fos_buckling": 0.9969971085128964,
      "fos_yielding": 12.480083370518948,
      "deflection": 0.0074628333631040445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.548)"
      },
      "parent_node_id": "node_2155",
      "improvement_over_parent": null
    },
    "node_2157": {
      "node_id": "node_2157",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2815848595307,
      "fos_buckling": 1.5376910531508978,
      "fos_yielding": 14.273512003910891,
      "deflection": 0.005953961831033543,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 320)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0029)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 238.47 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.4711753077259,
      "fos_buckling": 0.5902456712858485,
      "fos_yielding": 5.907934563940703,
      "deflection": 0.01733873160449721,
      "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0029)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n\nPerformance:\n  Mass: 245.44 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.4395119043249,
      "fos_buckling": 0.5897197495988473,
      "fos_yielding": 6.813477056133387,
      "deflection": 0.014281296993535217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003230)"
      },
      "parent_node_id": "node_2159",
      "improvement_over_parent": null
    },
    "node_2161": {
      "node_id": "node_2161",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0029)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n\nPerformance:\n  Mass: 279.90 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 279.9018936646248,
      "fos_buckling": 0.7066287576545515,
      "fos_yielding": 7.838348337904095,
      "deflection": 0.011491187714829975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004882)"
      },
      "parent_node_id": "node_2160",
      "improvement_over_parent": null
    },
    "node_2162": {
      "node_id": "node_2162",
      "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n\nPerformance:\n  Mass: 288.75 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 288.7499521841436,
      "fos_buckling": 0.9077201252824727,
      "fos_yielding": 7.438248552226311,
      "deflection": 0.01117254570152979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.553)"
      },
      "parent_node_id": "node_2161",
      "improvement_over_parent": null
    },
    "node_2163": {
      "node_id": "node_2163",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 348.86 kg\n  Factor of Safety: 1.07\n  Max Deflection: 9.28e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 348.8554448607822,
      "fos_buckling": 1.0721861767249663,
      "fos_yielding": 8.997316595566302,
      "deflection": 0.00928069837404916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2162",
      "improvement_over_parent": null
    },
    "node_2164": {
      "node_id": "node_2164",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 430.78 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.7842205933218,
      "fos_buckling": 1.283148018675886,
      "fos_yielding": 11.128603488981046,
      "deflection": 0.007552142566138262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2163",
      "improvement_over_parent": null
    },
    "node_2165": {
      "node_id": "node_2165",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 537.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 6.09e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 537.6734822503953,
      "fos_buckling": 1.5358136841162229,
      "fos_yielding": 13.920093092473989,
      "deflection": 0.006088849875978227,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_2164",
      "improvement_over_parent": null
    },
    "node_2166": {
      "node_id": "node_2166",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.22 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2152040870866,
      "fos_buckling": 1.5375712897899905,
      "fos_yielding": 14.265999943362473,
      "deflection": 0.0059548727678512626,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.176)"
      },
      "parent_node_id": "node_2165",
      "improvement_over_parent": null
    },
    "node_2167": {
      "node_id": "node_2167",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2166",
      "improvement_over_parent": null
    },
    "node_2168": {
      "node_id": "node_2168",
      "content": "INITIAL DESIGN (Trace 321)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0036)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 283.07 kg\n  Factor of Safety: 0.69\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": 283.0728577658854,
      "fos_buckling": 0.6868995840071325,
      "fos_yielding": 7.147592434268064,
      "deflection": 0.011625854382842877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2169": {
      "node_id": "node_2169",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0042)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 326.85 kg\n  Factor of Safety: 0.79\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": 326.8542185270317,
      "fos_buckling": 0.785248086480397,
      "fos_yielding": 8.262370903380596,
      "deflection": 0.010092631812560968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2168",
      "improvement_over_parent": null
    },
    "node_2170": {
      "node_id": "node_2170",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 418.04 kg\n  Factor of Safety: 0.98\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": 418.0448727999929,
      "fos_buckling": 0.983379989604748,
      "fos_yielding": 10.592670273488636,
      "deflection": 0.007929999557735387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2169",
      "improvement_over_parent": null
    },
    "node_2171": {
      "node_id": "node_2171",
      "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 441.46 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.32e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 441.4600997132368,
      "fos_buckling": 1.293656933060562,
      "fos_yielding": 11.505886105681379,
      "deflection": 0.007321403679800994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.572)"
      },
      "parent_node_id": "node_2170",
      "improvement_over_parent": null
    },
    "node_2172": {
      "node_id": "node_2172",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.397348681193,
      "fos_buckling": 1.5378179003403385,
      "fos_yielding": 14.27299801538701,
      "deflection": 0.005952816251121666,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2171",
      "improvement_over_parent": null
    },
    "node_2173": {
      "node_id": "node_2173",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2172",
      "improvement_over_parent": null
    },
    "node_2174": {
      "node_id": "node_2174",
      "content": "INITIAL DESIGN (Trace 322)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n\nPerformance:\n  Mass: 196.05 kg\n  Factor of Safety: 0.01\n  Max Deflection: 1.08e+15 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.04799886434643,
      "fos_buckling": 0.00718003292871247,
      "fos_yielding": 0.05652957740179471,
      "deflection": 1081040719342134.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2175": {
      "node_id": "node_2175",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n\nPerformance:\n  Mass: 206.86 kg\n  Factor of Safety: 0.13\n  Max Deflection: 2.15e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.85762214727646,
      "fos_buckling": 0.12628185488930416,
      "fos_yielding": 1.741129937913964,
      "deflection": 215305915402707.66,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.391)"
      },
      "parent_node_id": "node_2174",
      "improvement_over_parent": null
    },
    "node_2176": {
      "node_id": "node_2176",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 255.73 kg\n  Factor of Safety: 0.11\n  Max Deflection: 5.37e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.73218661902706,
      "fos_buckling": 0.11202379446834455,
      "fos_yielding": 0.9044732384287156,
      "deflection": 53693634505337.836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 320.03 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.0255913584516,
      "fos_buckling": 0.48017366640564746,
      "fos_yielding": 5.519572809103402,
      "deflection": 0.015748111795925456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008157)"
      },
      "parent_node_id": "node_2176",
      "improvement_over_parent": null
    },
    "node_2178": {
      "node_id": "node_2178",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 415.08 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.08205878348133,
      "fos_buckling": 0.594574174590859,
      "fos_yielding": 7.092519420408126,
      "deflection": 0.012211921890335597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_2177",
      "improvement_over_parent": null
    },
    "node_2179": {
      "node_id": "node_2179",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.68 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.6848232439843,
      "fos_buckling": 0.5927890989030574,
      "fos_yielding": 7.071546627721977,
      "deflection": 0.01103567610725954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2178",
      "improvement_over_parent": null
    },
    "node_2180": {
      "node_id": "node_2180",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.08 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0800556773457,
      "fos_buckling": 1.537509377978371,
      "fos_yielding": 14.263460776320512,
      "deflection": 0.00595609206716698,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2179",
      "improvement_over_parent": null
    },
    "node_2181": {
      "node_id": "node_2181",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2180",
      "improvement_over_parent": null
    },
    "node_2182": {
      "node_id": "node_2182",
      "content": "INITIAL DESIGN (Trace 323)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 316.71 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 316.71306332134566,
      "fos_buckling": 0.7339359275436459,
      "fos_yielding": 8.699562900639181,
      "deflection": 0.011325395229184456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2183": {
      "node_id": "node_2183",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 360.91 kg\n  Factor of Safety: 1.06\n  Max Deflection: 9.20e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 360.914525755774,
      "fos_buckling": 1.0567878835796631,
      "fos_yielding": 9.064797741475656,
      "deflection": 0.00920258051662751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006347)"
      },
      "parent_node_id": "node_2182",
      "improvement_over_parent": null
    },
    "node_2184": {
      "node_id": "node_2184",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n\nPerformance:\n  Mass: 447.32 kg\n  Factor of Safety: 1.27\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.3174722816572,
      "fos_buckling": 1.2679625761215798,
      "fos_yielding": 11.25437844005926,
      "deflection": 0.007459541959795354,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2183",
      "improvement_over_parent": null
    },
    "node_2185": {
      "node_id": "node_2185",
      "content": "MODIFICATION: Increase 1 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n\nPerformance:\n  Mass: 466.40 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.94e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.3953712126575,
      "fos_buckling": 1.3539758110332576,
      "fos_yielding": 12.162142995389745,
      "deflection": 0.00694043324683487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.610)"
      },
      "parent_node_id": "node_2184",
      "improvement_over_parent": null
    },
    "node_2186": {
      "node_id": "node_2186",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6385394340956,
      "fos_buckling": 1.5385213892387997,
      "fos_yielding": 14.279210464356472,
      "deflection": 0.00595029072688471,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2185",
      "improvement_over_parent": null
    },
    "node_2187": {
      "node_id": "node_2187",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2186",
      "improvement_over_parent": null
    },
    "node_2188": {
      "node_id": "node_2188",
      "content": "INITIAL DESIGN (Trace 324)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n\nPerformance:\n  Mass: 225.30 kg\n  Factor of Safety: 0.45\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": 225.29761457243904,
      "fos_buckling": 0.4524496891260347,
      "fos_yielding": 3.6178929537148616,
      "deflection": 13716261537847.535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2189": {
      "node_id": "node_2189",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 278.93 kg\n  Factor of Safety: 0.29\n  Max Deflection: 1.51e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 278.9277627049059,
      "fos_buckling": 0.28802167198120704,
      "fos_yielding": 2.8959196144060972,
      "deflection": 151419797086414.12,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2188",
      "improvement_over_parent": null
    },
    "node_2190": {
      "node_id": "node_2190",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 352.71 kg\n  Factor of Safety: 0.66\n  Max Deflection: 3.34e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.7071226174105,
      "fos_buckling": 0.6585200499201334,
      "fos_yielding": 7.298699660676019,
      "deflection": 33433099307644.72,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009462)"
      },
      "parent_node_id": "node_2189",
      "improvement_over_parent": null
    },
    "node_2191": {
      "node_id": "node_2191",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 409.45 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 409.4467016322217,
      "fos_buckling": 0.5372712919958292,
      "fos_yielding": 6.289745256010331,
      "deflection": 0.012429613594513713,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008298)"
      },
      "parent_node_id": "node_2190",
      "improvement_over_parent": null
    },
    "node_2192": {
      "node_id": "node_2192",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.74 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.73654968157496,
      "fos_buckling": 0.5928782556636181,
      "fos_yielding": 7.072816803264626,
      "deflection": 0.011033392480531543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2191",
      "improvement_over_parent": null
    },
    "node_2193": {
      "node_id": "node_2193",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.13 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1317821149364,
      "fos_buckling": 1.5374111853688583,
      "fos_yielding": 14.265458414350293,
      "deflection": 0.0059555804446571325,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2192",
      "improvement_over_parent": null
    },
    "node_2194": {
      "node_id": "node_2194",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2193",
      "improvement_over_parent": null
    },
    "node_2195": {
      "node_id": "node_2195",
      "content": "INITIAL DESIGN (Trace 325)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 346.47 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 346.46971253561907,
      "fos_buckling": 0.7651274306304466,
      "fos_yielding": 9.123756168710871,
      "deflection": 0.010465132927723223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2196": {
      "node_id": "node_2196",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 424.02 kg\n  Factor of Safety: 0.91\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": 424.01756223399036,
      "fos_buckling": 0.9055366082489497,
      "fos_yielding": 11.106481060357147,
      "deflection": 0.008593193919693019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2195",
      "improvement_over_parent": null
    },
    "node_2197": {
      "node_id": "node_2197",
      "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 441.71 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.40e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 441.70691082127723,
      "fos_buckling": 0.9045250483710833,
      "fos_yielding": 11.094074195165177,
      "deflection": 0.008395793091071939,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.490)"
      },
      "parent_node_id": "node_2196",
      "improvement_over_parent": null
    },
    "node_2198": {
      "node_id": "node_2198",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.79 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.7894908094141,
      "fos_buckling": 0.9972093919317169,
      "fos_yielding": 12.483343630632481,
      "deflection": 0.00746103436950897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2197",
      "improvement_over_parent": null
    },
    "node_2199": {
      "node_id": "node_2199",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3922552699171,
      "fos_buckling": 1.5379549721695802,
      "fos_yielding": 14.274725702305817,
      "deflection": 0.005952704472987533,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2198",
      "improvement_over_parent": null
    },
    "node_2200": {
      "node_id": "node_2200",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2199",
      "improvement_over_parent": null
    },
    "node_2201": {
      "node_id": "node_2201",
      "content": "INITIAL DESIGN (Trace 326)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 334.35 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 334.3456265776649,
      "fos_buckling": 0.8109765477767783,
      "fos_yielding": 7.751475455501298,
      "deflection": 0.01105346793004414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2202": {
      "node_id": "node_2202",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 347.17 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 347.17147249857214,
      "fos_buckling": 0.8110877462204401,
      "fos_yielding": 7.745160711058898,
      "deflection": 0.010726198147359955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.391)"
      },
      "parent_node_id": "node_2201",
      "improvement_over_parent": null
    },
    "node_2203": {
      "node_id": "node_2203",
      "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 349.69 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 349.69421203271,
      "fos_buckling": 0.8110877462204406,
      "fos_yielding": 7.745160711058903,
      "deflection": 0.01061810459231744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.546)"
      },
      "parent_node_id": "node_2202",
      "improvement_over_parent": null
    },
    "node_2204": {
      "node_id": "node_2204",
      "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 360.70 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 360.7021661223727,
      "fos_buckling": 0.8105210422066982,
      "fos_yielding": 7.739749195865268,
      "deflection": 0.010624990383975923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.305)"
      },
      "parent_node_id": "node_2203",
      "improvement_over_parent": null
    },
    "node_2205": {
      "node_id": "node_2205",
      "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 370.61 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.94e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.61215384005743,
      "fos_buckling": 0.8100115398922678,
      "fos_yielding": 9.749456254570864,
      "deflection": 0.009935056448493967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.279)"
      },
      "parent_node_id": "node_2204",
      "improvement_over_parent": null
    },
    "node_2206": {
      "node_id": "node_2206",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 478.70 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.74e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 478.69608781575624,
      "fos_buckling": 0.997903642146886,
      "fos_yielding": 12.498255828798143,
      "deflection": 0.0077423861501881045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_2205",
      "improvement_over_parent": null
    },
    "node_2207": {
      "node_id": "node_2207",
      "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.49 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.49319325322176,
      "fos_buckling": 0.9966604759261256,
      "fos_yielding": 12.482685778937057,
      "deflection": 0.007464593160639062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.342)"
      },
      "parent_node_id": "node_2206",
      "improvement_over_parent": null
    },
    "node_2208": {
      "node_id": "node_2208",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.10 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0959577137247,
      "fos_buckling": 1.5366340940565777,
      "fos_yielding": 14.264171363363753,
      "deflection": 0.005955839931304522,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2207",
      "improvement_over_parent": null
    },
    "node_2209": {
      "node_id": "node_2209",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2208",
      "improvement_over_parent": null
    },
    "node_2210": {
      "node_id": "node_2210",
      "content": "INITIAL DESIGN (Trace 327)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n\nPerformance:\n  Mass: 223.40 kg\n  Factor of Safety: 0.46\n  Max Deflection: 2.75e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.4027556572996,
      "fos_buckling": 0.46221636122638493,
      "fos_yielding": 6.947596457730071,
      "deflection": 27514678957016.65,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2211": {
      "node_id": "node_2211",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 260.13 kg\n  Factor of Safety: 0.89\n  Max Deflection: 2.25e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.1341928308202,
      "fos_buckling": 0.8896665362673266,
      "fos_yielding": 11.110004117171487,
      "deflection": 22524917626346.3,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_2210",
      "improvement_over_parent": null
    },
    "node_2212": {
      "node_id": "node_2212",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n\nPerformance:\n  Mass: 301.94 kg\n  Factor of Safety: 0.42\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": 301.9418089640784,
      "fos_buckling": 0.4153078686441873,
      "fos_yielding": 4.686629610896458,
      "deflection": 0.01674865086474924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005983)"
      },
      "parent_node_id": "node_2211",
      "improvement_over_parent": null
    },
    "node_2213": {
      "node_id": "node_2213",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n\nPerformance:\n  Mass: 334.52 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 334.51574651279054,
      "fos_buckling": 0.4536879412710886,
      "fos_yielding": 5.176161914263958,
      "deflection": 0.015147482274952101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_2212",
      "improvement_over_parent": null
    },
    "node_2214": {
      "node_id": "node_2214",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 408.29 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 408.293981961959,
      "fos_buckling": 0.5361088527974549,
      "fos_yielding": 6.273800838057401,
      "deflection": 0.012465564008035526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_2213",
      "improvement_over_parent": null
    },
    "node_2215": {
      "node_id": "node_2215",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.29 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.28605357676196,
      "fos_buckling": 0.593515430437748,
      "fos_yielding": 7.082058735677979,
      "deflection": 0.011022169620860826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2214",
      "improvement_over_parent": null
    },
    "node_2216": {
      "node_id": "node_2216",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6812860101234,
      "fos_buckling": 1.5377722234185776,
      "fos_yielding": 14.282768432140523,
      "deflection": 0.005949726354220489,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2215",
      "improvement_over_parent": null
    },
    "node_2217": {
      "node_id": "node_2217",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2216",
      "improvement_over_parent": null
    },
    "node_2218": {
      "node_id": "node_2218",
      "content": "INITIAL DESIGN (Trace 328)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0019)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 289.26 kg\n  Factor of Safety: 0.77\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": 289.2595398499546,
      "fos_buckling": 0.7713636134366979,
      "fos_yielding": 7.617099018487498,
      "deflection": 0.01119250588945099,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2219": {
      "node_id": "node_2219",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0019)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 294.22 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 294.22328729413016,
      "fos_buckling": 0.7686808980024865,
      "fos_yielding": 7.817322800181608,
      "deflection": 0.01092706284834026,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.182)"
      },
      "parent_node_id": "node_2218",
      "improvement_over_parent": null
    },
    "node_2220": {
      "node_id": "node_2220",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 385.50 kg\n  Factor of Safety: 0.98\n  Max Deflection: 8.39e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 385.5048744778264,
      "fos_buckling": 0.9792426028409738,
      "fos_yielding": 10.154582726488464,
      "deflection": 0.008386220492437623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_2219",
      "improvement_over_parent": null
    },
    "node_2221": {
      "node_id": "node_2221",
      "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 387.58 kg\n  Factor of Safety: 1.16\n  Max Deflection: 8.31e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.5765780436844,
      "fos_buckling": 1.1590912556167812,
      "fos_yielding": 10.089659706640894,
      "deflection": 0.008311994155055093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.462)"
      },
      "parent_node_id": "node_2220",
      "improvement_over_parent": null
    },
    "node_2222": {
      "node_id": "node_2222",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 437.35 kg\n  Factor of Safety: 1.28\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": 437.3485605113176,
      "fos_buckling": 1.2836487860883774,
      "fos_yielding": 11.397507014956417,
      "deflection": 0.007388283936992873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2221",
      "improvement_over_parent": null
    },
    "node_2223": {
      "node_id": "node_2223",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 547.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.94e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 547.271857903272,
      "fos_buckling": 1.5397931976790658,
      "fos_yielding": 14.2958498856696,
      "deflection": 0.005943526546299575,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_2222",
      "improvement_over_parent": null
    },
    "node_2224": {
      "node_id": "node_2224",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2223",
      "improvement_over_parent": null
    },
    "node_2225": {
      "node_id": "node_2225",
      "content": "INITIAL DESIGN (Trace 329)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0045)]\n\nPerformance:\n  Mass: 282.27 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 282.26608480683365,
      "fos_buckling": 0.6760627923478246,
      "fos_yielding": 8.181433213872529,
      "deflection": 0.01289102554841616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2226": {
      "node_id": "node_2226",
      "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0045)]\n\nPerformance:\n  Mass: 295.06 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 295.0628643618152,
      "fos_buckling": 0.6946609693762457,
      "fos_yielding": 8.174760497825233,
      "deflection": 0.012385645636328407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.497)"
      },
      "parent_node_id": "node_2225",
      "improvement_over_parent": null
    },
    "node_2227": {
      "node_id": "node_2227",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 369.81 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.93e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.8145231549473,
      "fos_buckling": 0.8417666109156468,
      "fos_yielding": 10.187431356092935,
      "deflection": 0.009925053556487961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2226",
      "improvement_over_parent": null
    },
    "node_2228": {
      "node_id": "node_2228",
      "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 391.74 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.35e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.7392724986275,
      "fos_buckling": 0.8405974899626408,
      "fos_yielding": 10.17328213788771,
      "deflection": 0.009348056537304392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.517)"
      },
      "parent_node_id": "node_2227",
      "improvement_over_parent": null
    },
    "node_2229": {
      "node_id": "node_2229",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n\nPerformance:\n  Mass: 430.26 kg\n  Factor of Safety: 1.11\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.25757671451936,
      "fos_buckling": 1.1130149239736875,
      "fos_yielding": 12.073873427523086,
      "deflection": 0.007473571927755358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006893)"
      },
      "parent_node_id": "node_2228",
      "improvement_over_parent": null
    },
    "node_2230": {
      "node_id": "node_2230",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 531.95 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.9534399202671,
      "fos_buckling": 1.3412901813228226,
      "fos_yielding": 14.95052735518558,
      "deflection": 0.006081732171333553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2229",
      "improvement_over_parent": null
    },
    "node_2231": {
      "node_id": "node_2231",
      "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0080)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 536.01 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.04e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 536.0070229881645,
      "fos_buckling": 1.3433332181071516,
      "fos_yielding": 14.755197784926033,
      "deflection": 0.006042520085734858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.486)"
      },
      "parent_node_id": "node_2230",
      "improvement_over_parent": null
    },
    "node_2232": {
      "node_id": "node_2232",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2231",
      "improvement_over_parent": null
    },
    "node_2233": {
      "node_id": "node_2233",
      "content": "INITIAL DESIGN (Trace 330)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 288.74 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 288.7438162265381,
      "fos_buckling": 0.6293128639035115,
      "fos_yielding": 7.321707876237184,
      "deflection": 0.012723101250621777,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2234": {
      "node_id": "node_2234",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 369.62 kg\n  Factor of Safety: 0.78\n  Max Deflection: 9.99e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 369.6235645201783,
      "fos_buckling": 0.779720393754708,
      "fos_yielding": 9.325105263607604,
      "deflection": 0.009988928307061152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2233",
      "improvement_over_parent": null
    },
    "node_2235": {
      "node_id": "node_2235",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 451.95 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.21e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.9498100945713,
      "fos_buckling": 0.9215188087950893,
      "fos_yielding": 11.343594298327668,
      "deflection": 0.008210865963588604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2234",
      "improvement_over_parent": null
    },
    "node_2236": {
      "node_id": "node_2236",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.83 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.82973389945664,
      "fos_buckling": 0.9972373340364904,
      "fos_yielding": 12.48377732097775,
      "deflection": 0.007460621344024446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_2235",
      "improvement_over_parent": null
    },
    "node_2237": {
      "node_id": "node_2237",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4324983599596,
      "fos_buckling": 1.5380237343920418,
      "fos_yielding": 14.274725673577924,
      "deflection": 0.005952371989171693,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2236",
      "improvement_over_parent": null
    },
    "node_2238": {
      "node_id": "node_2238",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2237",
      "improvement_over_parent": null
    },
    "node_2239": {
      "node_id": "node_2239",
      "content": "INITIAL DESIGN (Trace 331)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0046)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0034)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 295.66 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 295.6558914291206,
      "fos_buckling": 0.6583316081904363,
      "fos_yielding": 9.086798418084562,
      "deflection": 0.010832475182989834,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2240": {
      "node_id": "node_2240",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0032)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 368.79 kg\n  Factor of Safety: 0.81\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 368.78595407277066,
      "fos_buckling": 0.8106350200488582,
      "fos_yielding": 11.310096696131898,
      "deflection": 0.008719990991619618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_2239",
      "improvement_over_parent": null
    },
    "node_2241": {
      "node_id": "node_2241",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 430.11 kg\n  Factor of Safety: 0.94\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": 430.10883324232555,
      "fos_buckling": 0.9351897191078183,
      "fos_yielding": 13.168408067227146,
      "deflection": 0.007502238775322238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_2240",
      "improvement_over_parent": null
    },
    "node_2242": {
      "node_id": "node_2242",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 488.91 kg\n  Factor of Safety: 1.05\n  Max Deflection: 6.62e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 488.9066772925861,
      "fos_buckling": 1.0519326855850863,
      "fos_yielding": 14.94567257762303,
      "deflection": 0.0066214336779431325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_2241",
      "improvement_over_parent": null
    },
    "node_2243": {
      "node_id": "node_2243",
      "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 511.81 kg\n  Factor of Safety: 1.06\n  Max Deflection: 6.43e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 511.80708043297903,
      "fos_buckling": 1.057293808280604,
      "fos_yielding": 14.87926950534473,
      "deflection": 0.006430813526988853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.610)"
      },
      "parent_node_id": "node_2242",
      "improvement_over_parent": null
    },
    "node_2244": {
      "node_id": "node_2244",
      "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 521.73 kg\n  Factor of Safety: 1.29\n  Max Deflection: 6.27e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 521.7333320135751,
      "fos_buckling": 1.2897948349386203,
      "fos_yielding": 14.34691406988808,
      "deflection": 0.006269957270822696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.429)"
      },
      "parent_node_id": "node_2243",
      "improvement_over_parent": null
    },
    "node_2245": {
      "node_id": "node_2245",
      "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 534.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.14e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 534.7199442238988,
      "fos_buckling": 1.5345665909906316,
      "fos_yielding": 13.795167324494612,
      "deflection": 0.006141248202191985,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.412)"
      },
      "parent_node_id": "node_2244",
      "improvement_over_parent": null
    },
    "node_2246": {
      "node_id": "node_2246",
      "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.96 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9636600119929,
      "fos_buckling": 1.53701353015242,
      "fos_yielding": 14.265072742778326,
      "deflection": 0.005957132596457039,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.244)"
      },
      "parent_node_id": "node_2245",
      "improvement_over_parent": null
    },
    "node_2247": {
      "node_id": "node_2247",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2246",
      "improvement_over_parent": null
    },
    "node_2248": {
      "node_id": "node_2248",
      "content": "INITIAL DESIGN (Trace 332)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 319.69 kg\n  Factor of Safety: 0.69\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": 319.68722679146947,
      "fos_buckling": 0.6881668190792724,
      "fos_yielding": 8.09058324095133,
      "deflection": 0.011513648973051729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2249": {
      "node_id": "node_2249",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 416.96 kg\n  Factor of Safety: 0.86\n  Max Deflection: 8.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.9626396059583,
      "fos_buckling": 0.8626387137177518,
      "fos_yielding": 10.488308750434662,
      "deflection": 0.008880719729030758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_2248",
      "improvement_over_parent": null
    },
    "node_2250": {
      "node_id": "node_2250",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n\nPerformance:\n  Mass: 445.98 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.9816998249203,
      "fos_buckling": 1.1859905980731291,
      "fos_yielding": 12.376740987178968,
      "deflection": 0.0072158039458440695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005099)"
      },
      "parent_node_id": "node_2249",
      "improvement_over_parent": null
    },
    "node_2251": {
      "node_id": "node_2251",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n\nPerformance:\n  Mass: 533.46 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.458416891819,
      "fos_buckling": 1.3855541161790157,
      "fos_yielding": 14.824653879118067,
      "deflection": 0.00606437701679135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2250",
      "improvement_over_parent": null
    },
    "node_2252": {
      "node_id": "node_2252",
      "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0122)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n\nPerformance:\n  Mass: 550.11 kg\n  Factor of Safety: 1.39\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 550.1126963339944,
      "fos_buckling": 1.3891455972125948,
      "fos_yielding": 14.359377073496516,
      "deflection": 0.005977206951560668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.401)"
      },
      "parent_node_id": "node_2251",
      "improvement_over_parent": null
    },
    "node_2253": {
      "node_id": "node_2253",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2252",
      "improvement_over_parent": null
    },
    "node_2254": {
      "node_id": "node_2254",
      "content": "INITIAL DESIGN (Trace 333)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0030)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0039)]\n\nPerformance:\n  Mass: 251.97 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.96608901357516,
      "fos_buckling": 0.45001029798072667,
      "fos_yielding": 5.3747145101561,
      "deflection": 0.018994220695658107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2255": {
      "node_id": "node_2255",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0047)]\n\nPerformance:\n  Mass: 298.75 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 298.7547620029141,
      "fos_buckling": 0.5272706211739989,
      "fos_yielding": 6.371992508187333,
      "deflection": 0.016040786328206637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2254",
      "improvement_over_parent": null
    },
    "node_2256": {
      "node_id": "node_2256",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0047)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n\nPerformance:\n  Mass: 306.66 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 306.664697962595,
      "fos_buckling": 0.7752379083509988,
      "fos_yielding": 8.716130226878146,
      "deflection": 0.010547971079115448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003690)"
      },
      "parent_node_id": "node_2255",
      "improvement_over_parent": null
    },
    "node_2257": {
      "node_id": "node_2257",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n\nPerformance:\n  Mass: 370.45 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.450329143768,
      "fos_buckling": 0.9203903313825599,
      "fos_yielding": 10.535265652960309,
      "deflection": 0.008762808769771683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_2256",
      "improvement_over_parent": null
    },
    "node_2258": {
      "node_id": "node_2258",
      "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0061)]\n\nPerformance:\n  Mass: 373.56 kg\n  Factor of Safety: 0.93\n  Max Deflection: 8.65e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.56470651392914,
      "fos_buckling": 0.9314557515193277,
      "fos_yielding": 11.437073814096673,
      "deflection": 0.008647321683675843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.357)"
      },
      "parent_node_id": "node_2257",
      "improvement_over_parent": null
    },
    "node_2259": {
      "node_id": "node_2259",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0070)]\n\nPerformance:\n  Mass: 421.92 kg\n  Factor of Safety: 1.04\n  Max Deflection: 7.68e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.92158948295474,
      "fos_buckling": 1.0381547979819568,
      "fos_yielding": 12.903714318096466,
      "deflection": 0.007677423331308512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_2258",
      "improvement_over_parent": null
    },
    "node_2260": {
      "node_id": "node_2260",
      "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0102)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0070)]\n\nPerformance:\n  Mass: 449.01 kg\n  Factor of Safety: 1.35\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.0131123246815,
      "fos_buckling": 1.350174976107193,
      "fos_yielding": 14.907625041591656,
      "deflection": 0.007076403415066156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.567)"
      },
      "parent_node_id": "node_2259",
      "improvement_over_parent": null
    },
    "node_2261": {
      "node_id": "node_2261",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0125)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0085)]\n\nPerformance:\n  Mass: 539.67 kg\n  Factor of Safety: 1.57\n  Max Deflection: 5.92e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 539.6728047137179,
      "fos_buckling": 1.5659822590794061,
      "fos_yielding": 17.843076069237718,
      "deflection": 0.005921225957733728,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 334)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (6 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_2264": {
      "node_id": "node_2264",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 354.71 kg\n  Factor of Safety: 13.53\n  Max Deflection: 5.92e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 354.70904597800256,
      "fos_buckling": 13.527466753807564,
      "fos_yielding": 8.514977934832721,
      "deflection": 59169053619970.63,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2263",
      "improvement_over_parent": null
    },
    "node_2265": {
      "node_id": "node_2265",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 402.31 kg\n  Factor of Safety: 0.09\n  Max Deflection: 9.22e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.3118104385055,
      "fos_buckling": 0.0948594598569906,
      "fos_yielding": 1.6369972993577817,
      "deflection": 92208178735684.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2264",
      "improvement_over_parent": null
    },
    "node_2266": {
      "node_id": "node_2266",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 449.91 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.16e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.91457489900847,
      "fos_buckling": 0.5085394814963204,
      "fos_yielding": 6.365730724877488,
      "deflection": 0.03164071985333393,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2265",
      "improvement_over_parent": null
    },
    "node_2267": {
      "node_id": "node_2267",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.31 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.3098073323699,
      "fos_buckling": 1.01163681220877,
      "fos_yielding": 12.663623578348588,
      "deflection": 0.009050069141354944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2266",
      "improvement_over_parent": null
    },
    "node_2268": {
      "node_id": "node_2268",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2793268419248,
      "fos_buckling": 1.537676670765629,
      "fos_yielding": 14.270056145656987,
      "deflection": 0.005954044345987326,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2267",
      "improvement_over_parent": null
    },
    "node_2269": {
      "node_id": "node_2269",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2268",
      "improvement_over_parent": null
    },
    "node_2270": {
      "node_id": "node_2270",
      "content": "INITIAL DESIGN (Trace 335)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 355.04 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.69e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.0381444905034,
      "fos_buckling": 0.8852168398111052,
      "fos_yielding": 10.991648848456645,
      "deflection": 0.009690429191446305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2271": {
      "node_id": "node_2271",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 361.90 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.896679885514,
      "fos_buckling": 0.8848316813151011,
      "fos_yielding": 10.986864555682324,
      "deflection": 0.009694649551272942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.214)"
      },
      "parent_node_id": "node_2270",
      "improvement_over_parent": null
    },
    "node_2272": {
      "node_id": "node_2272",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 363.43 kg\n  Factor of Safety: 0.88\n  Max Deflection: 9.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 363.43370425889975,
      "fos_buckling": 0.8848316813151011,
      "fos_yielding": 10.986864555682324,
      "deflection": 0.009694649551272942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.242)"
      },
      "parent_node_id": "node_2271",
      "improvement_over_parent": null
    },
    "node_2273": {
      "node_id": "node_2273",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 416.96 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.95855023517305,
      "fos_buckling": 0.9999482607740834,
      "fos_yielding": 12.544952348792139,
      "deflection": 0.008476722356244372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_2272",
      "improvement_over_parent": null
    },
    "node_2274": {
      "node_id": "node_2274",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 481.09 kg\n  Factor of Safety: 1.03\n  Max Deflection: 7.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.0912031277936,
      "fos_buckling": 1.0319656744192844,
      "fos_yielding": 12.843698928162707,
      "deflection": 0.0070241646837806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2273",
      "improvement_over_parent": null
    },
    "node_2275": {
      "node_id": "node_2275",
      "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 494.48 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 494.4794769925933,
      "fos_buckling": 1.2720067441539435,
      "fos_yielding": 12.353156384383842,
      "deflection": 0.006817230832823198,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.429)"
      },
      "parent_node_id": "node_2274",
      "improvement_over_parent": null
    },
    "node_2276": {
      "node_id": "node_2276",
      "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 516.36 kg\n  Factor of Safety: 1.17\n  Max Deflection: 6.47e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 516.3561299134581,
      "fos_buckling": 1.17227547348534,
      "fos_yielding": 13.083430453845605,
      "deflection": 0.0064694470241299165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.600)"
      },
      "parent_node_id": "node_2275",
      "improvement_over_parent": null
    },
    "node_2277": {
      "node_id": "node_2277",
      "content": "MODIFICATION: Increase 10 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0153)]\n\nPerformance:\n  Mass: 549.90 kg\n  Factor of Safety: 1.17\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 549.9046844031815,
      "fos_buckling": 1.1664852970266715,
      "fos_yielding": 12.55721881873712,
      "deflection": 0.00633164575042865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.613)"
      },
      "parent_node_id": "node_2276",
      "improvement_over_parent": null
    },
    "node_2278": {
      "node_id": "node_2278",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2277",
      "improvement_over_parent": null
    },
    "node_2279": {
      "node_id": "node_2279",
      "content": "INITIAL DESIGN (Trace 336)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 265.03 kg\n  Factor of Safety: 1.25\n  Max Deflection: 1.41e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 265.03236296408704,
      "fos_buckling": 1.254022976070206,
      "fos_yielding": 12.688308366972473,
      "deflection": 14059544129134.283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2280": {
      "node_id": "node_2280",
      "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 266.31 kg\n  Factor of Safety: 1.63\n  Max Deflection: 1.41e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 266.3114595593674,
      "fos_buckling": 1.6341750045777792,
      "fos_yielding": 16.896338357603202,
      "deflection": 14059544129134.283,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.401)"
      },
      "parent_node_id": "node_2279",
      "improvement_over_parent": null
    },
    "node_2281": {
      "node_id": "node_2281",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 311.66 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.61e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 311.6642283234263,
      "fos_buckling": 0.3657780454120743,
      "fos_yielding": 3.816468454790347,
      "deflection": 0.0161497502807901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006523)"
      },
      "parent_node_id": "node_2280",
      "improvement_over_parent": null
    },
    "node_2282": {
      "node_id": "node_2282",
      "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 313.35 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.57e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 313.35150170781736,
      "fos_buckling": 0.445645633496393,
      "fos_yielding": 5.071225921627406,
      "deflection": 0.015691639085805814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.350)"
      },
      "parent_node_id": "node_2281",
      "improvement_over_parent": null
    },
    "node_2283": {
      "node_id": "node_2283",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 361.22 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.2195808062859,
      "fos_buckling": 0.5025597903640089,
      "fos_yielding": 5.817084386361469,
      "deflection": 0.01365439881344461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2282",
      "improvement_over_parent": null
    },
    "node_2284": {
      "node_id": "node_2284",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 429.17 kg\n  Factor of Safety: 1.12\n  Max Deflection: 7.51e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 429.1735298428187,
      "fos_buckling": 1.1221118836668877,
      "fos_yielding": 12.441701721323936,
      "deflection": 0.007509011247671063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008657)"
      },
      "parent_node_id": "node_2283",
      "improvement_over_parent": null
    },
    "node_2285": {
      "node_id": "node_2285",
      "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 431.71 kg\n  Factor of Safety: 1.08\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 431.7110859890024,
      "fos_buckling": 1.0836559706303783,
      "fos_yielding": 12.245004779101432,
      "deflection": 0.007451834396568226,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.513)"
      },
      "parent_node_id": "node_2284",
      "improvement_over_parent": null
    },
    "node_2286": {
      "node_id": "node_2286",
      "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 445.18 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.26e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.18296975282857,
      "fos_buckling": 1.3027221754447256,
      "fos_yielding": 11.604454323998356,
      "deflection": 0.007261754520345304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.572)"
      },
      "parent_node_id": "node_2285",
      "improvement_over_parent": null
    },
    "node_2287": {
      "node_id": "node_2287",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5360296822888,
      "fos_buckling": 1.538121088336194,
      "fos_yielding": 14.277406092246652,
      "deflection": 0.0059513097467782045,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2286",
      "improvement_over_parent": null
    },
    "node_2288": {
      "node_id": "node_2288",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 9,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2287",
      "improvement_over_parent": null
    },
    "node_2289": {
      "node_id": "node_2289",
      "content": "INITIAL DESIGN (Trace 337)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 346.96 kg\n  Factor of Safety: 1.49\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": 346.9586546053581,
      "fos_buckling": 1.4853342063898824,
      "fos_yielding": 8.514977934832721,
      "deflection": 18330682594531.766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2290": {
      "node_id": "node_2290",
      "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 351.14 kg\n  Factor of Safety: 1.28\n  Max Deflection: 1.55e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.13889965659615,
      "fos_buckling": 1.2832810455507517,
      "fos_yielding": 15.913330217649573,
      "deflection": 15525932806317.559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.522)"
      },
      "parent_node_id": "node_2289",
      "improvement_over_parent": null
    },
    "node_2291": {
      "node_id": "node_2291",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 398.74 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.26e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.7416641170991,
      "fos_buckling": 0.8565209360150806,
      "fos_yielding": 13.415357948163976,
      "deflection": 12593377602315.352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2290",
      "improvement_over_parent": null
    },
    "node_2292": {
      "node_id": "node_2292",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.13689655046056,
      "fos_buckling": 0.9980073788964559,
      "fos_yielding": 12.493096330042313,
      "deflection": 0.0074573762506119565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2291",
      "improvement_over_parent": null
    },
    "node_2293": {
      "node_id": "node_2293",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2695494430811,
      "fos_buckling": 1.53761323249811,
      "fos_yielding": 14.262885093600564,
      "deflection": 0.0059542551736491145,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 338)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 293.41 kg\n  Factor of Safety: 0.75\n  Max Deflection: 3.41e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 293.4061461416445,
      "fos_buckling": 0.7517010219201528,
      "fos_yielding": 8.822549750147179,
      "deflection": 3413699436540.949,
      "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n\nPerformance:\n  Mass: 302.48 kg\n  Factor of Safety: 0.74\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": 302.4832665919064,
      "fos_buckling": 0.744535079873334,
      "fos_yielding": 8.841296663473866,
      "deflection": 0.012999627145419341,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004269)"
      },
      "parent_node_id": "node_2295",
      "improvement_over_parent": null
    },
    "node_2297": {
      "node_id": "node_2297",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n\nPerformance:\n  Mass: 373.83 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.8269169592344,
      "fos_buckling": 0.890099559020025,
      "fos_yielding": 10.876886890948851,
      "deflection": 0.010573701689110433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2296",
      "improvement_over_parent": null
    },
    "node_2298": {
      "node_id": "node_2298",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0124)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n\nPerformance:\n  Mass: 395.77 kg\n  Factor of Safety: 0.89\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.7709315559288,
      "fos_buckling": 0.8888626671743984,
      "fos_yielding": 10.861772252855967,
      "deflection": 0.009917335043393025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.339)"
      },
      "parent_node_id": "node_2297",
      "improvement_over_parent": null
    },
    "node_2299": {
      "node_id": "node_2299",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0145)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 457.22 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 457.21688876049706,
      "fos_buckling": 0.9996691507412694,
      "fos_yielding": 12.514101614935672,
      "deflection": 0.008622387158414933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_2298",
      "improvement_over_parent": null
    },
    "node_2300": {
      "node_id": "node_2300",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0145)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 521.35 kg\n  Factor of Safety: 1.22\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": 521.3495416531176,
      "fos_buckling": 1.2226768373092163,
      "fos_yielding": 12.463678290506287,
      "deflection": 0.006940849065021662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2299",
      "improvement_over_parent": null
    },
    "node_2301": {
      "node_id": "node_2301",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0145)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 568.95 kg\n  Factor of Safety: 1.39\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 568.9523061136206,
      "fos_buckling": 1.3904113447432531,
      "fos_yielding": 15.090347409815836,
      "deflection": 0.005747880469485412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2300",
      "improvement_over_parent": null
    },
    "node_2302": {
      "node_id": "node_2302",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2301",
      "improvement_over_parent": null
    },
    "node_2303": {
      "node_id": "node_2303",
      "content": "INITIAL DESIGN (Trace 339)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n\nPerformance:\n  Mass: 212.03 kg\n  Factor of Safety: 0.23\n  Max Deflection: 3.90e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.02808768980543,
      "fos_buckling": 0.23157004764396075,
      "fos_yielding": 1.8089464768574313,
      "deflection": 38963734740606.336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2304": {
      "node_id": "node_2304",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 252.37 kg\n  Factor of Safety: 0.23\n  Max Deflection: 3.05e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.36503727116747,
      "fos_buckling": 0.22731376941086684,
      "fos_yielding": 1.8089464768574313,
      "deflection": 30473263303753.094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2303",
      "improvement_over_parent": null
    },
    "node_2305": {
      "node_id": "node_2305",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n\nPerformance:\n  Mass: 285.04 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 285.0388748514879,
      "fos_buckling": 0.434934669501085,
      "fos_yielding": 4.933566001489182,
      "deflection": 0.01764349033910434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005781)"
      },
      "parent_node_id": "node_2304",
      "improvement_over_parent": null
    },
    "node_2306": {
      "node_id": "node_2306",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 342.29 kg\n  Factor of Safety: 0.73\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": 342.2879946738134,
      "fos_buckling": 0.7301076937176405,
      "fos_yielding": 8.650039571011423,
      "deflection": 0.010768543812594927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007207)"
      },
      "parent_node_id": "node_2305",
      "improvement_over_parent": null
    },
    "node_2307": {
      "node_id": "node_2307",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 381.29 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.69e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 381.2931841192066,
      "fos_buckling": 0.8004906546490275,
      "fos_yielding": 9.612227808652452,
      "deflection": 0.009690258500028142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_2306",
      "improvement_over_parent": null
    },
    "node_2308": {
      "node_id": "node_2308",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 417.70 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.73e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 417.6993379391377,
      "fos_buckling": 1.2352026219314227,
      "fos_yielding": 10.880324049443232,
      "deflection": 0.007726801308117646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006488)"
      },
      "parent_node_id": "node_2307",
      "improvement_over_parent": null
    },
    "node_2309": {
      "node_id": "node_2309",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 483.19 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.71e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 483.18948702571936,
      "fos_buckling": 1.3937132754211394,
      "fos_yielding": 12.60391622706747,
      "deflection": 0.006706004243481102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2308",
      "improvement_over_parent": null
    },
    "node_2310": {
      "node_id": "node_2310",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.08 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0774792465991,
      "fos_buckling": 1.5372508756270422,
      "fos_yielding": 14.263590982845654,
      "deflection": 0.0059562124132622254,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2309",
      "improvement_over_parent": null
    },
    "node_2311": {
      "node_id": "node_2311",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2310",
      "improvement_over_parent": null
    },
    "node_2312": {
      "node_id": "node_2312",
      "content": "INITIAL DESIGN (Trace 340)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 365.98 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 365.97518373341376,
      "fos_buckling": 0.6183195091428004,
      "fos_yielding": 7.61561257034695,
      "deflection": 0.012568521657923158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2313": {
      "node_id": "node_2313",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n\nPerformance:\n  Mass: 376.24 kg\n  Factor of Safety: 0.62\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.23868992861,
      "fos_buckling": 0.6175146955544563,
      "fos_yielding": 7.605699979219628,
      "deflection": 0.010574546923600762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004868)"
      },
      "parent_node_id": "node_2312",
      "improvement_over_parent": null
    },
    "node_2314": {
      "node_id": "node_2314",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 475.66 kg\n  Factor of Safety: 0.76\n  Max Deflection: 8.40e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 475.66352466181604,
      "fos_buckling": 0.7599187476381255,
      "fos_yielding": 9.608406871238012,
      "deflection": 0.008400604864475655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2313",
      "improvement_over_parent": null
    },
    "node_2315": {
      "node_id": "node_2315",
      "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0134)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.90 kg\n  Factor of Safety: 0.76\n  Max Deflection: 8.41e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.904515943385,
      "fos_buckling": 0.758807401473649,
      "fos_yielding": 9.594355018778431,
      "deflection": 0.008412112040199744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.416)"
      },
      "parent_node_id": "node_2314",
      "improvement_over_parent": null
    },
    "node_2316": {
      "node_id": "node_2316",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0134)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.507280403888,
      "fos_buckling": 1.3229282687619535,
      "fos_yielding": 12.968954337186284,
      "deflection": 0.006175623378055933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2315",
      "improvement_over_parent": null
    },
    "node_2317": {
      "node_id": "node_2317",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2316",
      "improvement_over_parent": null
    },
    "node_2318": {
      "node_id": "node_2318",
      "content": "INITIAL DESIGN (Trace 341)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 320.34 kg\n  Factor of Safety: 0.58\n  Max Deflection: 2.76e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.34037221809683,
      "fos_buckling": 0.5804754422110219,
      "fos_yielding": 7.329799360058823,
      "deflection": 27593141625096.977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2319": {
      "node_id": "node_2319",
      "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 333.98 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.92e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 333.9797943136938,
      "fos_buckling": 0.38698362814068127,
      "fos_yielding": 5.032548050974777,
      "deflection": 29245187950764.902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.517)"
      },
      "parent_node_id": "node_2318",
      "improvement_over_parent": null
    },
    "node_2320": {
      "node_id": "node_2320",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 345.18 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.08e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 345.175982878984,
      "fos_buckling": 0.21848878742849262,
      "fos_yielding": 3.473798228865035,
      "deflection": 108200977004910.78,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.391)"
      },
      "parent_node_id": "node_2319",
      "improvement_over_parent": null
    },
    "node_2321": {
      "node_id": "node_2321",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 353.54 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.17e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 353.53698057981137,
      "fos_buckling": 0.43909624731182434,
      "fos_yielding": 3.6178929537148616,
      "deflection": 11726061393766.592,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.195)"
      },
      "parent_node_id": "node_2320",
      "improvement_over_parent": null
    },
    "node_2322": {
      "node_id": "node_2322",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 398.58 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e+13 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.58442031054045,
      "fos_buckling": 0.8606620874225753,
      "fos_yielding": 7.235785907429725,
      "deflection": 10526459582178.098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2321",
      "improvement_over_parent": null
    },
    "node_2323": {
      "node_id": "node_2323",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.72 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.717073203161,
      "fos_buckling": 0.5930005749937568,
      "fos_yielding": 7.071895354483285,
      "deflection": 0.011032980321502584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2322",
      "improvement_over_parent": null
    },
    "node_2324": {
      "node_id": "node_2324",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.11 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1123056365225,
      "fos_buckling": 1.537190568003159,
      "fos_yielding": 14.261125669670607,
      "deflection": 0.0059560762307317,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 342)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 378.05 kg\n  Factor of Safety: 0.84\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": 378.0517051993079,
      "fos_buckling": 0.8390987202960383,
      "fos_yielding": 10.150484191162162,
      "deflection": 0.009211986003491044,
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 429.81 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 429.8121820180732,
      "fos_buckling": 1.2078249462926198,
      "fos_yielding": 9.517953697399193,
      "deflection": 0.007552397965533717,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007514)"
      },
      "parent_node_id": "node_2326",
      "improvement_over_parent": null
    },
    "node_2328": {
      "node_id": "node_2328",
      "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 432.13 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.44e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 432.12585723854585,
      "fos_buckling": 1.1913207904018834,
      "fos_yielding": 11.852414611689829,
      "deflection": 0.007441934925149027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.305)"
      },
      "parent_node_id": "node_2327",
      "improvement_over_parent": null
    },
    "node_2329": {
      "node_id": "node_2329",
      "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 440.90 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.33e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.8977095475828,
      "fos_buckling": 1.2924081412150628,
      "fos_yielding": 11.490252194722654,
      "deflection": 0.007330459811086628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.318)"
      },
      "parent_node_id": "node_2328",
      "improvement_over_parent": null
    },
    "node_2330": {
      "node_id": "node_2330",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5031429627827,
      "fos_buckling": 1.5381851822644488,
      "fos_yielding": 14.274779251076373,
      "deflection": 0.005951674499729827,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_2329",
      "improvement_over_parent": null
    },
    "node_2331": {
      "node_id": "node_2331",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2330",
      "improvement_over_parent": null
    },
    "node_2332": {
      "node_id": "node_2332",
      "content": "INITIAL DESIGN (Trace 343)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 373.21 kg\n  Factor of Safety: 0.56\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": 373.2060485147391,
      "fos_buckling": 0.5594059321094735,
      "fos_yielding": 6.822824973400868,
      "deflection": 0.011471524121966094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2333": {
      "node_id": "node_2333",
      "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 383.11 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.1056161380311,
      "fos_buckling": 0.5590549251365551,
      "fos_yielding": 6.8185438977039485,
      "deflection": 0.010865009714732475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.261)"
      },
      "parent_node_id": "node_2332",
      "improvement_over_parent": null
    },
    "node_2334": {
      "node_id": "node_2334",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 422.13 kg\n  Factor of Safety: 0.97\n  Max Deflection: 7.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 422.12699511445686,
      "fos_buckling": 0.9688423567403723,
      "fos_yielding": 10.647895232411607,
      "deflection": 0.007890268541470628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006990)"
      },
      "parent_node_id": "node_2333",
      "improvement_over_parent": null
    },
    "node_2335": {
      "node_id": "node_2335",
      "content": "MODIFICATION: Increase 10 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0115)]\n\nPerformance:\n  Mass: 444.38 kg\n  Factor of Safety: 1.03\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": 444.3817650416979,
      "fos_buckling": 1.025519347693373,
      "fos_yielding": 10.21311309334132,
      "deflection": 0.007670647221038859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.647)"
      },
      "parent_node_id": "node_2334",
      "improvement_over_parent": null
    },
    "node_2336": {
      "node_id": "node_2336",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0143)]\n\nPerformance:\n  Mass: 541.33 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.32e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.3311191657629,
      "fos_buckling": 1.2234395638784117,
      "fos_yielding": 12.500768902747382,
      "deflection": 0.0063231839457098486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2335",
      "improvement_over_parent": null
    },
    "node_2337": {
      "node_id": "node_2337",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2336",
      "improvement_over_parent": null
    },
    "node_2338": {
      "node_id": "node_2338",
      "content": "INITIAL DESIGN (Trace 344)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 305.96 kg\n  Factor of Safety: 1.08\n  Max Deflection: 1.99e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 305.95620129592237,
      "fos_buckling": 1.0839781975071208,
      "fos_yielding": 11.184252117853319,
      "deflection": 19926646212720.6,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2339": {
      "node_id": "node_2339",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 341.83 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 341.82743427968876,
      "fos_buckling": 0.3625572957260621,
      "fos_yielding": 3.7805315613811965,
      "deflection": 0.015587930094228736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006386)"
      },
      "parent_node_id": "node_2338",
      "improvement_over_parent": null
    },
    "node_2340": {
      "node_id": "node_2340",
      "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 345.09 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 345.0904622072086,
      "fos_buckling": 0.3624087132028903,
      "fos_yielding": 3.7789822313168386,
      "deflection": 0.014999260190344145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.456)"
      },
      "parent_node_id": "node_2339",
      "improvement_over_parent": null
    },
    "node_2341": {
      "node_id": "node_2341",
      "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 346.30 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 346.29915632467487,
      "fos_buckling": 0.3624087132028903,
      "fos_yielding": 3.7789822313168386,
      "deflection": 0.014954334561944773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.284)"
      },
      "parent_node_id": "node_2340",
      "improvement_over_parent": null
    },
    "node_2342": {
      "node_id": "node_2342",
      "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0116)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 374.90 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.90335455098153,
      "fos_buckling": 0.36046623605082384,
      "fos_yielding": 3.7587272364037103,
      "deflection": 0.01338993030865634,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.664)"
      },
      "parent_node_id": "node_2341",
      "improvement_over_parent": null
    },
    "node_2343": {
      "node_id": "node_2343",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0060)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n\nPerformance:\n  Mass: 422.90 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 422.9022563532202,
      "fos_buckling": 0.40169100082064313,
      "fos_yielding": 4.238078568799118,
      "deflection": 0.011902863230432116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2342",
      "improvement_over_parent": null
    },
    "node_2344": {
      "node_id": "node_2344",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0060)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 493.88 kg\n  Factor of Safety: 1.02\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 493.88432364858056,
      "fos_buckling": 1.0199629599740199,
      "fos_yielding": 10.761214846246716,
      "deflection": 0.006848119238463683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009074)"
      },
      "parent_node_id": "node_2343",
      "improvement_over_parent": null
    },
    "node_2345": {
      "node_id": "node_2345",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0071)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0158)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 579.13 kg\n  Factor of Safety: 1.17\n  Max Deflection: 5.86e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 579.1261088135227,
      "fos_buckling": 1.1698857882793738,
      "fos_yielding": 12.571327431088571,
      "deflection": 0.005862734009658853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2344",
      "improvement_over_parent": null
    },
    "node_2346": {
      "node_id": "node_2346",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2345",
      "improvement_over_parent": null
    },
    "node_2347": {
      "node_id": "node_2347",
      "content": "INITIAL DESIGN (Trace 345)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 344.70 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.32e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.7028133280922,
      "fos_buckling": 1.0475367956436736,
      "fos_yielding": 8.965525945303051,
      "deflection": 0.009321636503649165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2348": {
      "node_id": "node_2348",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 388.73 kg\n  Factor of Safety: 1.16\n  Max Deflection: 8.29e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 388.7334131399995,
      "fos_buckling": 1.1621343923999683,
      "fos_yielding": 10.120268779655579,
      "deflection": 0.008287926887509366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_2347",
      "improvement_over_parent": null
    },
    "node_2349": {
      "node_id": "node_2349",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 451.87 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.8684229952454,
      "fos_buckling": 1.319068514096222,
      "fos_yielding": 11.779846611624741,
      "deflection": 0.007157227799963208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_2348",
      "improvement_over_parent": null
    },
    "node_2350": {
      "node_id": "node_2350",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.10 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.099473028089,
      "fos_buckling": 1.5373053824962004,
      "fos_yielding": 14.265194358971705,
      "deflection": 0.00595592930287072,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_2349",
      "improvement_over_parent": null
    },
    "node_2351": {
      "node_id": "node_2351",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2350",
      "improvement_over_parent": null
    },
    "node_2352": {
      "node_id": "node_2352",
      "content": "INITIAL DESIGN (Trace 346)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 311.69 kg\n  Factor of Safety: 0.25\n  Max Deflection: 6.23e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 311.6890147550386,
      "fos_buckling": 0.2509930583331628,
      "fos_yielding": 1.8089464768574313,
      "deflection": 62277681904167.29,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2353": {
      "node_id": "node_2353",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 328.13 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.31e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 328.13006692891497,
      "fos_buckling": 0.4410878862099593,
      "fos_yielding": 3.6178929537148625,
      "deflection": 23141138282548.86,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.458)"
      },
      "parent_node_id": "node_2352",
      "improvement_over_parent": null
    },
    "node_2354": {
      "node_id": "node_2354",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 381.64 kg\n  Factor of Safety: 1.72\n  Max Deflection: 8.29e+12 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 381.6419124093718,
      "fos_buckling": 1.721058343181848,
      "fos_yielding": 14.471571814859447,
      "deflection": 8294898945336.922,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2353",
      "improvement_over_parent": null
    },
    "node_2355": {
      "node_id": "node_2355",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 391.84 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.05e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.8422969279716,
      "fos_buckling": 0.860529171590924,
      "fos_yielding": 7.235785907429723,
      "deflection": 10450354143127.246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.299)"
      },
      "parent_node_id": "node_2354",
      "improvement_over_parent": null
    },
    "node_2356": {
      "node_id": "node_2356",
      "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 404.08 kg\n  Factor of Safety: 1.71\n  Max Deflection: 5.75e+12 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 404.081331680123,
      "fos_buckling": 1.7115377414270903,
      "fos_yielding": 14.471571814859447,
      "deflection": 5746065649771.113,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.344)"
      },
      "parent_node_id": "node_2355",
      "improvement_over_parent": null
    },
    "node_2357": {
      "node_id": "node_2357",
      "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 415.49 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.22e+13 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.4881736992151,
      "fos_buckling": 0.860529171590924,
      "fos_yielding": 7.235785907429723,
      "deflection": 12202573283548.016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.248)"
      },
      "parent_node_id": "node_2356",
      "improvement_over_parent": null
    },
    "node_2358": {
      "node_id": "node_2358",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 463.09 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.09093815971806,
      "fos_buckling": 0.5930810281955979,
      "fos_yielding": 7.077757941991981,
      "deflection": 0.011026938873328103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2357",
      "improvement_over_parent": null
    },
    "node_2359": {
      "node_id": "node_2359",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4861705930795,
      "fos_buckling": 1.537691691320854,
      "fos_yielding": 14.273146092661582,
      "deflection": 0.005952037864413315,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2358",
      "improvement_over_parent": null
    },
    "node_2360": {
      "node_id": "node_2360",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2359",
      "improvement_over_parent": null
    },
    "node_2361": {
      "node_id": "node_2361",
      "content": "INITIAL DESIGN (Trace 347)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 402.79 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.89e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.78502957640853,
      "fos_buckling": 0.886054669471091,
      "fos_yielding": 10.821941323737116,
      "deflection": 0.008892311778252721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2362": {
      "node_id": "node_2362",
      "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 415.54 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.62e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.5388248746347,
      "fos_buckling": 0.8853398640375252,
      "fos_yielding": 10.813210956722008,
      "deflection": 0.008616808560436173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.340)"
      },
      "parent_node_id": "node_2361",
      "improvement_over_parent": null
    },
    "node_2363": {
      "node_id": "node_2363",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 470.82 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 470.819623695764,
      "fos_buckling": 1.3645916889913354,
      "fos_yielding": 12.278379742425198,
      "deflection": 0.006877208586214498,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008067)"
      },
      "parent_node_id": "node_2362",
      "improvement_over_parent": null
    },
    "node_2364": {
      "node_id": "node_2364",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2522743032388,
      "fos_buckling": 1.5377523029258542,
      "fos_yielding": 14.268643835679386,
      "deflection": 0.005954495689606349,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_2363",
      "improvement_over_parent": null
    },
    "node_2365": {
      "node_id": "node_2365",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2364",
      "improvement_over_parent": null
    },
    "node_2366": {
      "node_id": "node_2366",
      "content": "INITIAL DESIGN (Trace 348)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 463.30 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.301263876419,
      "fos_buckling": 1.3240255377827528,
      "fos_yielding": 13.436494451350505,
      "deflection": 0.0069082109788320524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2367": {
      "node_id": "node_2367",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 472.32 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 472.31966130397586,
      "fos_buckling": 1.3383937744395233,
      "fos_yielding": 13.053462081356985,
      "deflection": 0.0068173835894521405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.295)"
      },
      "parent_node_id": "node_2366",
      "improvement_over_parent": null
    },
    "node_2368": {
      "node_id": "node_2368",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.92 kg\n  Factor of Safety: 1.48\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": 533.9229836297732,
      "fos_buckling": 1.4778784259380393,
      "fos_yielding": 14.767001991766774,
      "deflection": 0.006053651108800196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2367",
      "improvement_over_parent": null
    },
    "node_2369": {
      "node_id": "node_2369",
      "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.83 kg\n  Factor of Safety: 1.48\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.8254642307509,
      "fos_buckling": 1.480951039589855,
      "fos_yielding": 14.404891636003828,
      "deflection": 0.005978262965073524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.225)"
      },
      "parent_node_id": "node_2368",
      "improvement_over_parent": null
    },
    "node_2370": {
      "node_id": "node_2370",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.530912942633,
      "fos_buckling": 1.5381755179623182,
      "fos_yielding": 14.27908909209557,
      "deflection": 0.005951177059621342,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.236)"
      },
      "parent_node_id": "node_2369",
      "improvement_over_parent": null
    },
    "node_2371": {
      "node_id": "node_2371",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2370",
      "improvement_over_parent": null
    },
    "node_2372": {
      "node_id": "node_2372",
      "content": "INITIAL DESIGN (Trace 349)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 378.32 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.91e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.32171378227235,
      "fos_buckling": 0.9010303978015463,
      "fos_yielding": 10.989401315515774,
      "deflection": 1914535540698.402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2373": {
      "node_id": "node_2373",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n\nPerformance:\n  Mass: 419.43 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 419.42674165743136,
      "fos_buckling": 0.8871300999363319,
      "fos_yielding": 10.83809598590353,
      "deflection": 0.01042873205967647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007394)"
      },
      "parent_node_id": "node_2372",
      "improvement_over_parent": null
    },
    "node_2374": {
      "node_id": "node_2374",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n\nPerformance:\n  Mass: 430.63 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.61e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.62544198958227,
      "fos_buckling": 0.8858744780851954,
      "fos_yielding": 10.822756014747558,
      "deflection": 0.00860617932049371,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005348)"
      },
      "parent_node_id": "node_2373",
      "improvement_over_parent": null
    },
    "node_2375": {
      "node_id": "node_2375",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.83 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.83068474575055,
      "fos_buckling": 0.99723929035001,
      "fos_yielding": 12.483807239240102,
      "deflection": 0.007460604953970526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_2374",
      "improvement_over_parent": null
    },
    "node_2376": {
      "node_id": "node_2376",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4334492062535,
      "fos_buckling": 1.5380212195660619,
      "fos_yielding": 14.274051031741221,
      "deflection": 0.005952374522182076,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2375",
      "improvement_over_parent": null
    },
    "node_2377": {
      "node_id": "node_2377",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2376",
      "improvement_over_parent": null
    },
    "node_2378": {
      "node_id": "node_2378",
      "content": "INITIAL DESIGN (Trace 350)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 414.66 kg\n  Factor of Safety: 1.23\n  Max Deflection: 7.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 414.6598792055076,
      "fos_buckling": 1.234481953005779,
      "fos_yielding": 10.568094243716029,
      "deflection": 0.00793307929413482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2379": {
      "node_id": "node_2379",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 467.55 kg\n  Factor of Safety: 1.36\n  Max Deflection: 7.06e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.5500795909751,
      "fos_buckling": 1.3641555738302735,
      "fos_yielding": 11.928634986651655,
      "deflection": 0.007056584184694895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2378",
      "improvement_over_parent": null
    },
    "node_2380": {
      "node_id": "node_2380",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 529.41 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.25e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 529.4126980654015,
      "fos_buckling": 1.508143135683806,
      "fos_yielding": 13.523875476774558,
      "deflection": 0.006253536955956464,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_2379",
      "improvement_over_parent": null
    },
    "node_2381": {
      "node_id": "node_2381",
      "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.97 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9671994802134,
      "fos_buckling": 1.5370158113640346,
      "fos_yielding": 14.261680752353065,
      "deflection": 0.005957330580649531,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.401)"
      },
      "parent_node_id": "node_2380",
      "improvement_over_parent": null
    },
    "node_2382": {
      "node_id": "node_2382",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2381",
      "improvement_over_parent": null
    },
    "node_2383": {
      "node_id": "node_2383",
      "content": "INITIAL DESIGN (Trace 351)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 441.62 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.22e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 441.61703925995823,
      "fos_buckling": 0.5088105371757394,
      "fos_yielding": 6.369123711124205,
      "deflection": 0.03217719846407456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2384": {
      "node_id": "node_2384",
      "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 449.92 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.16e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.92088213672116,
      "fos_buckling": 0.5085393123268065,
      "fos_yielding": 6.365728607268902,
      "deflection": 0.031640393288486904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.232)"
      },
      "parent_node_id": "node_2383",
      "improvement_over_parent": null
    },
    "node_2385": {
      "node_id": "node_2385",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 462.89 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.890401646276,
      "fos_buckling": 0.5930541773597352,
      "fos_yielding": 7.075365806715823,
      "deflection": 0.011030218702332098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2384",
      "improvement_over_parent": null
    },
    "node_2386": {
      "node_id": "node_2386",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2856340796375,
      "fos_buckling": 1.5376649198953547,
      "fos_yielding": 14.26985131042788,
      "deflection": 0.005954002792096018,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2385",
      "improvement_over_parent": null
    },
    "node_2387": {
      "node_id": "node_2387",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2386",
      "improvement_over_parent": null
    },
    "node_2388": {
      "node_id": "node_2388",
      "content": "INITIAL DESIGN (Trace 352)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 334.66 kg\n  Factor of Safety: 0.41\n  Max Deflection: 4.53e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 334.66234222423117,
      "fos_buckling": 0.405799802559206,
      "fos_yielding": 3.548232883616229,
      "deflection": 0.045304376654931436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2389": {
      "node_id": "node_2389",
      "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 348.69 kg\n  Factor of Safety: 0.41\n  Max Deflection: 4.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 348.693667240469,
      "fos_buckling": 0.4054422035518787,
      "fos_yielding": 4.277175006768326,
      "deflection": 0.04104980413214683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.437)"
      },
      "parent_node_id": "node_2388",
      "improvement_over_parent": null
    },
    "node_2390": {
      "node_id": "node_2390",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 445.66 kg\n  Factor of Safety: 0.50\n  Max Deflection: 3.22e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.6568336593011,
      "fos_buckling": 0.5014635617445737,
      "fos_yielding": 5.44615104271569,
      "deflection": 0.03219141666316749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2389",
      "improvement_over_parent": null
    },
    "node_2391": {
      "node_id": "node_2391",
      "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 447.70 kg\n  Factor of Safety: 0.50\n  Max Deflection: 3.19e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.6968726713368,
      "fos_buckling": 0.5014635617445737,
      "fos_yielding": 5.44615104271569,
      "deflection": 0.03193944915600174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.295)"
      },
      "parent_node_id": "node_2390",
      "improvement_over_parent": null
    },
    "node_2392": {
      "node_id": "node_2392",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 460.67 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.66639218089165,
      "fos_buckling": 0.5006553455257883,
      "fos_yielding": 5.437373400752304,
      "deflection": 0.011330736824335249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2391",
      "improvement_over_parent": null
    },
    "node_2393": {
      "node_id": "node_2393",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 462.91 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.9059894906676,
      "fos_buckling": 0.5930699329353853,
      "fos_yielding": 7.0800131449083885,
      "deflection": 0.011029224647647058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.332)"
      },
      "parent_node_id": "node_2392",
      "improvement_over_parent": null
    },
    "node_2394": {
      "node_id": "node_2394",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.301221924029,
      "fos_buckling": 1.5376360904995252,
      "fos_yielding": 14.270647040635245,
      "deflection": 0.005953777541414528,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2393",
      "improvement_over_parent": null
    },
    "node_2395": {
      "node_id": "node_2395",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2394",
      "improvement_over_parent": null
    },
    "node_2396": {
      "node_id": "node_2396",
      "content": "INITIAL DESIGN (Trace 353)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_2397": {
      "node_id": "node_2397",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 498.68 kg\n  Factor of Safety: 1.00\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": 498.67645043099105,
      "fos_buckling": 0.996997498588773,
      "fos_yielding": 12.480088253361052,
      "deflection": 0.007462827750885376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2396",
      "improvement_over_parent": null
    },
    "node_2398": {
      "node_id": "node_2398",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.279214891494,
      "fos_buckling": 1.5377003541588654,
      "fos_yielding": 14.269864165691677,
      "deflection": 0.005954037788644468,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2397",
      "improvement_over_parent": null
    },
    "node_2399": {
      "node_id": "node_2399",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2398",
      "improvement_over_parent": null
    },
    "node_2400": {
      "node_id": "node_2400",
      "content": "INITIAL DESIGN (Trace 354)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 390.36 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.3564687516031,
      "fos_buckling": 0.506367985360625,
      "fos_yielding": 7.114838748511543,
      "deflection": 0.012768854104945087,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2401": {
      "node_id": "node_2401",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 454.49 kg\n  Factor of Safety: 0.50\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": 454.4891216442237,
      "fos_buckling": 0.5043187657425107,
      "fos_yielding": 7.086450503198832,
      "deflection": 0.011602641201541773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2400",
      "improvement_over_parent": null
    },
    "node_2402": {
      "node_id": "node_2402",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 537.88 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 537.8843540775852,
      "fos_buckling": 1.4858811900593485,
      "fos_yielding": 14.60257327926817,
      "deflection": 0.006019948452163964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2401",
      "improvement_over_parent": null
    },
    "node_2403": {
      "node_id": "node_2403",
      "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2753656384909,
      "fos_buckling": 1.537670275433632,
      "fos_yielding": 14.269826222412306,
      "deflection": 0.005954077974160649,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.235)"
      },
      "parent_node_id": "node_2402",
      "improvement_over_parent": null
    },
    "node_2404": {
      "node_id": "node_2404",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2403",
      "improvement_over_parent": null
    },
    "node_2405": {
      "node_id": "node_2405",
      "content": "INITIAL DESIGN (Trace 355)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\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_2406": {
      "node_id": "node_2406",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 395.56 kg\n  Factor of Safety: 0.85\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.55655439515596,
      "fos_buckling": 0.8481180361964785,
      "fos_yielding": 10.278883684802727,
      "deflection": 0.01100402189703239,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007622)"
      },
      "parent_node_id": "node_2405",
      "improvement_over_parent": null
    },
    "node_2407": {
      "node_id": "node_2407",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 434.49 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.48984378514155,
      "fos_buckling": 0.8569544083843839,
      "fos_yielding": 10.385977318045608,
      "deflection": 0.011031529812044276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006973)"
      },
      "parent_node_id": "node_2406",
      "improvement_over_parent": null
    },
    "node_2408": {
      "node_id": "node_2408",
      "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0112)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 452.68 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 452.68104334211876,
      "fos_buckling": 0.8761692743226771,
      "fos_yielding": 10.14566206988834,
      "deflection": 0.010395979582002573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.294)"
      },
      "parent_node_id": "node_2407",
      "improvement_over_parent": null
    },
    "node_2409": {
      "node_id": "node_2409",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0112)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n\nPerformance:\n  Mass: 463.29 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.28905518117796,
      "fos_buckling": 1.2073393468530174,
      "fos_yielding": 12.26038141533022,
      "deflection": 0.0070052272071005495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005044)"
      },
      "parent_node_id": "node_2408",
      "improvement_over_parent": null
    },
    "node_2410": {
      "node_id": "node_2410",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0140)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 565.67 kg\n  Factor of Safety: 1.42\n  Max Deflection: 5.77e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 565.6659744128197,
      "fos_buckling": 1.4248347862422288,
      "fos_yielding": 15.003291836737683,
      "deflection": 0.0057719579776901965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2409",
      "improvement_over_parent": null
    },
    "node_2411": {
      "node_id": "node_2411",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2410",
      "improvement_over_parent": null
    },
    "node_2412": {
      "node_id": "node_2412",
      "content": "INITIAL DESIGN (Trace 356)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_2413": {
      "node_id": "node_2413",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 398.75 kg\n  Factor of Safety: 0.60\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": 398.748726752415,
      "fos_buckling": 0.5954630309595416,
      "fos_yielding": 7.103669289875964,
      "deflection": 0.01219950469046092,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2412",
      "improvement_over_parent": null
    },
    "node_2414": {
      "node_id": "node_2414",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8813796450356,
      "fos_buckling": 0.593054528240562,
      "fos_yielding": 7.075369929738381,
      "deflection": 0.01103029418543408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2413",
      "improvement_over_parent": null
    },
    "node_2415": {
      "node_id": "node_2415",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2766120783971,
      "fos_buckling": 1.5376652864382838,
      "fos_yielding": 14.26978441112261,
      "deflection": 0.0059540696012867515,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2414",
      "improvement_over_parent": null
    },
    "node_2416": {
      "node_id": "node_2416",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2415",
      "improvement_over_parent": null
    },
    "node_2417": {
      "node_id": "node_2417",
      "content": "INITIAL DESIGN (Trace 357)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 369.95 kg\n  Factor of Safety: 0.85\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": 369.9522915006148,
      "fos_buckling": 0.8502442971126516,
      "fos_yielding": 8.91966966327815,
      "deflection": 0.009141575759852054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2418": {
      "node_id": "node_2418",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 371.95 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 371.9499862299994,
      "fos_buckling": 1.0485915818493705,
      "fos_yielding": 9.223967170595392,
      "deflection": 0.00904458100901479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.393)"
      },
      "parent_node_id": "node_2417",
      "improvement_over_parent": null
    },
    "node_2419": {
      "node_id": "node_2419",
      "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 388.04 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 388.04453378278373,
      "fos_buckling": 1.0651855518231144,
      "fos_yielding": 9.579630778734883,
      "deflection": 0.008717663167696127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.357)"
      },
      "parent_node_id": "node_2418",
      "improvement_over_parent": null
    },
    "node_2420": {
      "node_id": "node_2420",
      "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 401.23 kg\n  Factor of Safety: 1.12\n  Max Deflection: 8.39e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 401.23024486812795,
      "fos_buckling": 1.1232220180979617,
      "fos_yielding": 9.694280014198625,
      "deflection": 0.00839003394691369,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.276)"
      },
      "parent_node_id": "node_2419",
      "improvement_over_parent": null
    },
    "node_2421": {
      "node_id": "node_2421",
      "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 408.01 kg\n  Factor of Safety: 1.21\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 408.01013802066956,
      "fos_buckling": 1.2127765272583102,
      "fos_yielding": 10.382128203705738,
      "deflection": 0.008069990396870962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.259)"
      },
      "parent_node_id": "node_2420",
      "improvement_over_parent": null
    },
    "node_2422": {
      "node_id": "node_2422",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 529.13 kg\n  Factor of Safety: 1.50\n  Max Deflection: 6.26e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 529.1271112039415,
      "fos_buckling": 1.5013916740205357,
      "fos_yielding": 13.496895758555931,
      "deflection": 0.006264840319277237,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2421",
      "improvement_over_parent": null
    },
    "node_2423": {
      "node_id": "node_2423",
      "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3038469114297,
      "fos_buckling": 1.537726506013225,
      "fos_yielding": 14.26959497996911,
      "deflection": 0.0059540139902239915,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.422)"
      },
      "parent_node_id": "node_2422",
      "improvement_over_parent": null
    },
    "node_2424": {
      "node_id": "node_2424",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2423",
      "improvement_over_parent": null
    },
    "node_2425": {
      "node_id": "node_2425",
      "content": "INITIAL DESIGN (Trace 358)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\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_2426": {
      "node_id": "node_2426",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n\nPerformance:\n  Mass: 328.73 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 328.72627168754286,
      "fos_buckling": 0.7578494132844645,
      "fos_yielding": 5.724118519564978,
      "deflection": 0.011990548956433183,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006041)"
      },
      "parent_node_id": "node_2425",
      "improvement_over_parent": null
    },
    "node_2427": {
      "node_id": "node_2427",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 403.90 kg\n  Factor of Safety: 0.90\n  Max Deflection: 9.79e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 403.89624916224096,
      "fos_buckling": 0.9003771700362626,
      "fos_yielding": 7.039021300198018,
      "deflection": 0.009787431487799836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2426",
      "improvement_over_parent": null
    },
    "node_2428": {
      "node_id": "node_2428",
      "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 423.56 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.555318961762,
      "fos_buckling": 0.8992580980495333,
      "fos_yielding": 11.013494917890718,
      "deflection": 0.008458297584524207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.613)"
      },
      "parent_node_id": "node_2427",
      "improvement_over_parent": null
    },
    "node_2429": {
      "node_id": "node_2429",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 479.90 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.75e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.9040427874615,
      "fos_buckling": 1.385984772354457,
      "fos_yielding": 12.51767095286763,
      "deflection": 0.006750605362054163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008236)"
      },
      "parent_node_id": "node_2428",
      "improvement_over_parent": null
    },
    "node_2430": {
      "node_id": "node_2430",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2963885165559,
      "fos_buckling": 1.537737172292677,
      "fos_yielding": 14.26975863679537,
      "deflection": 0.005953928651778006,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2429",
      "improvement_over_parent": null
    },
    "node_2431": {
      "node_id": "node_2431",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2430",
      "improvement_over_parent": null
    },
    "node_2432": {
      "node_id": "node_2432",
      "content": "INITIAL DESIGN (Trace 359)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 334.38 kg\n  Factor of Safety: 0.66\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": 334.37825695478443,
      "fos_buckling": 0.6611864163325291,
      "fos_yielding": 8.202737199636381,
      "deflection": 0.012394287390202388,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2433": {
      "node_id": "node_2433",
      "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n\nPerformance:\n  Mass: 372.28 kg\n  Factor of Safety: 0.83\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": 372.28311538030016,
      "fos_buckling": 0.8297166981133803,
      "fos_yielding": 10.018187442231348,
      "deflection": 0.009666933815191042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006775)"
      },
      "parent_node_id": "node_2432",
      "improvement_over_parent": null
    },
    "node_2434": {
      "node_id": "node_2434",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n\nPerformance:\n  Mass: 410.19 kg\n  Factor of Safety: 1.07\n  Max Deflection: 7.95e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.1879738058159,
      "fos_buckling": 1.0695989914584927,
      "fos_yielding": 9.513930984635786,
      "deflection": 0.007953446931021972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006775)"
      },
      "parent_node_id": "node_2433",
      "improvement_over_parent": null
    },
    "node_2435": {
      "node_id": "node_2435",
      "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n\nPerformance:\n  Mass: 417.10 kg\n  Factor of Safety: 1.09\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": 417.10166596993054,
      "fos_buckling": 1.0915535893238364,
      "fos_yielding": 9.349147582675846,
      "deflection": 0.007877483785661124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.199)"
      },
      "parent_node_id": "node_2434",
      "improvement_over_parent": null
    },
    "node_2436": {
      "node_id": "node_2436",
      "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n\nPerformance:\n  Mass: 429.80 kg\n  Factor of Safety: 1.09\n  Max Deflection: 7.76e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 429.8017094873998,
      "fos_buckling": 1.087956490296335,
      "fos_yielding": 9.073116308320454,
      "deflection": 0.007757340747989946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.319)"
      },
      "parent_node_id": "node_2435",
      "improvement_over_parent": null
    },
    "node_2437": {
      "node_id": "node_2437",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0104)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0104)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 539.40 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 539.3985354350611,
      "fos_buckling": 1.3246049762337966,
      "fos_yielding": 11.462403716655706,
      "deflection": 0.006215812248610116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2436",
      "improvement_over_parent": null
    },
    "node_2438": {
      "node_id": "node_2438",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0098)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0104)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0104)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 550.97 kg\n  Factor of Safety: 1.45\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 550.971823333348,
      "fos_buckling": 1.445327700123168,
      "fos_yielding": 11.830173426259929,
      "deflection": 0.00603228011620597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.195)"
      },
      "parent_node_id": "node_2437",
      "improvement_over_parent": null
    },
    "node_2439": {
      "node_id": "node_2439",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2438",
      "improvement_over_parent": null
    },
    "node_2440": {
      "node_id": "node_2440",
      "content": "INITIAL DESIGN (Trace 360)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 331.44 kg\n  Factor of Safety: 0.66\n  Max Deflection: 1.21e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 331.44324700446566,
      "fos_buckling": 0.6577478946616909,
      "fos_yielding": 8.155073597421481,
      "deflection": 0.012052467885771688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2441": {
      "node_id": "node_2441",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 388.55 kg\n  Factor of Safety: 0.66\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": 388.55430631161875,
      "fos_buckling": 0.6553676892203311,
      "fos_yielding": 8.125562669741116,
      "deflection": 0.010157643102871866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008357)"
      },
      "parent_node_id": "node_2440",
      "improvement_over_parent": null
    },
    "node_2442": {
      "node_id": "node_2442",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 436.70 kg\n  Factor of Safety: 0.73\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.70486237976377,
      "fos_buckling": 0.726835843215511,
      "fos_yielding": 9.130917544249044,
      "deflection": 0.009053630613207646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_2441",
      "improvement_over_parent": null
    },
    "node_2443": {
      "node_id": "node_2443",
      "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 448.37 kg\n  Factor of Safety: 0.73\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.3675823984561,
      "fos_buckling": 0.7263007283405186,
      "fos_yielding": 9.124195132516236,
      "deflection": 0.008576494634797545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.255)"
      },
      "parent_node_id": "node_2442",
      "improvement_over_parent": null
    },
    "node_2444": {
      "node_id": "node_2444",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 512.50 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 512.5002352910767,
      "fos_buckling": 1.1922994372866589,
      "fos_yielding": 13.549255771913264,
      "deflection": 0.006461293128314211,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2443",
      "improvement_over_parent": null
    },
    "node_2445": {
      "node_id": "node_2445",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 520.17 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.38e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 520.169625657128,
      "fos_buckling": 1.222487656512501,
      "fos_yielding": 13.274463152177738,
      "deflection": 0.006380999068586601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.211)"
      },
      "parent_node_id": "node_2444",
      "improvement_over_parent": null
    },
    "node_2446": {
      "node_id": "node_2446",
      "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2527050206264,
      "fos_buckling": 1.5376029971459735,
      "fos_yielding": 14.269646674832904,
      "deflection": 0.005954255306800679,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.499)"
      },
      "parent_node_id": "node_2445",
      "improvement_over_parent": null
    },
    "node_2447": {
      "node_id": "node_2447",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2446",
      "improvement_over_parent": null
    },
    "node_2448": {
      "node_id": "node_2448",
      "content": "INITIAL DESIGN (Trace 361)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 367.21 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 367.2070529227007,
      "fos_buckling": 0.7712556717665269,
      "fos_yielding": 5.891425481342358,
      "deflection": 0.01359968405448796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2449": {
      "node_id": "node_2449",
      "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 374.92 kg\n  Factor of Safety: 0.79\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.9183700599346,
      "fos_buckling": 0.7931894175679594,
      "fos_yielding": 7.348289131863789,
      "deflection": 0.012645053066265814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.300)"
      },
      "parent_node_id": "node_2448",
      "improvement_over_parent": null
    },
    "node_2450": {
      "node_id": "node_2450",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n\nPerformance:\n  Mass: 384.92 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.91833908551484,
      "fos_buckling": 0.9012383109110302,
      "fos_yielding": 10.847819186847351,
      "deflection": 0.008469966511729878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004734)"
      },
      "parent_node_id": "node_2449",
      "improvement_over_parent": null
    },
    "node_2451": {
      "node_id": "node_2451",
      "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n\nPerformance:\n  Mass: 397.97 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.9696196527553,
      "fos_buckling": 1.0059667083679382,
      "fos_yielding": 12.10680845617718,
      "deflection": 0.00802458379859578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.403)"
      },
      "parent_node_id": "node_2450",
      "improvement_over_parent": null
    },
    "node_2452": {
      "node_id": "node_2452",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 516.67 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 516.6667763148481,
      "fos_buckling": 1.270317793416468,
      "fos_yielding": 15.732143792939743,
      "deflection": 0.006224959928307868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_2451",
      "improvement_over_parent": null
    },
    "node_2453": {
      "node_id": "node_2453",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 528.93 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 528.9308111465593,
      "fos_buckling": 1.2747677892410623,
      "fos_yielding": 15.12674800400479,
      "deflection": 0.006119380850339741,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.381)"
      },
      "parent_node_id": "node_2452",
      "improvement_over_parent": null
    },
    "node_2454": {
      "node_id": "node_2454",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2894215842433,
      "fos_buckling": 1.537661460738508,
      "fos_yielding": 14.271136178354645,
      "deflection": 0.005953884432391126,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.629)"
      },
      "parent_node_id": "node_2453",
      "improvement_over_parent": null
    },
    "node_2455": {
      "node_id": "node_2455",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2454",
      "improvement_over_parent": null
    },
    "node_2456": {
      "node_id": "node_2456",
      "content": "INITIAL DESIGN (Trace 362)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 361.14 kg\n  Factor of Safety: 0.22\n  Max Deflection: 6.26e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.13592990835303,
      "fos_buckling": 0.2180265939789365,
      "fos_yielding": 1.8089464768574308,
      "deflection": 62563724903459.96,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2457": {
      "node_id": "node_2457",
      "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 436.11 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.1132739377394,
      "fos_buckling": 0.9162196749537679,
      "fos_yielding": 8.790052700475021,
      "deflection": 0.00892048569526017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009629)"
      },
      "parent_node_id": "node_2456",
      "improvement_over_parent": null
    },
    "node_2458": {
      "node_id": "node_2458",
      "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 448.31 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.28e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.31439606626094,
      "fos_buckling": 0.9155140169945198,
      "fos_yielding": 11.251569607927802,
      "deflection": 0.008276063503183011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.305)"
      },
      "parent_node_id": "node_2457",
      "improvement_over_parent": null
    },
    "node_2459": {
      "node_id": "node_2459",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.90 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.8991910614933,
      "fos_buckling": 0.9973661799038904,
      "fos_yielding": 12.481813250856957,
      "deflection": 0.007460026482768506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2458",
      "improvement_over_parent": null
    },
    "node_2460": {
      "node_id": "node_2460",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5019555219963,
      "fos_buckling": 1.538281856899566,
      "fos_yielding": 14.276861789698808,
      "deflection": 0.005951678145247975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2459",
      "improvement_over_parent": null
    },
    "node_2461": {
      "node_id": "node_2461",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2460",
      "improvement_over_parent": null
    },
    "node_2462": {
      "node_id": "node_2462",
      "content": "INITIAL DESIGN (Trace 363)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n\nPerformance:\n  Mass: 414.50 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 414.49805044720915,
      "fos_buckling": 0.5461686253453442,
      "fos_yielding": 5.140356418302921,
      "deflection": 0.012660968102842042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2463": {
      "node_id": "node_2463",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 489.73 kg\n  Factor of Safety: 1.25\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": 489.72601091383683,
      "fos_buckling": 1.2462165182944893,
      "fos_yielding": 9.88481959093707,
      "deflection": 0.006708412517285333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009664)"
      },
      "parent_node_id": "node_2462",
      "improvement_over_parent": null
    },
    "node_2464": {
      "node_id": "node_2464",
      "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 492.78 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 492.77882920829313,
      "fos_buckling": 1.4161588812406036,
      "fos_yielding": 12.863183650664801,
      "deflection": 0.006579140768218324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.383)"
      },
      "parent_node_id": "node_2463",
      "improvement_over_parent": null
    },
    "node_2465": {
      "node_id": "node_2465",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5848186325833,
      "fos_buckling": 1.538386294935393,
      "fos_yielding": 14.284122789536184,
      "deflection": 0.005950716512651933,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 364)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 397.69 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.42e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.68669152791813,
      "fos_buckling": 1.074074261973495,
      "fos_yielding": 9.931677587646858,
      "deflection": 0.008419618963413323,
      "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: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 416.62 kg\n  Factor of Safety: 1.01\n  Max Deflection: 7.91e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.61955678082774,
      "fos_buckling": 1.0113566128722933,
      "fos_yielding": 10.615560478637148,
      "deflection": 0.007913465337750655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.664)"
      },
      "parent_node_id": "node_2467",
      "improvement_over_parent": null
    },
    "node_2469": {
      "node_id": "node_2469",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 520.98 kg\n  Factor of Safety: 1.23\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": 520.9757075313846,
      "fos_buckling": 1.231857713898328,
      "fos_yielding": 13.310127465397578,
      "deflection": 0.006364488442580188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_2468",
      "improvement_over_parent": null
    },
    "node_2470": {
      "node_id": "node_2470",
      "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.33 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3262272520859,
      "fos_buckling": 1.5377627965168086,
      "fos_yielding": 14.271165455750543,
      "deflection": 0.0059535469451962855,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.479)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 365)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 279.23 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 279.228352275324,
      "fos_buckling": 0.5614063862697203,
      "fos_yielding": 6.845753772756413,
      "deflection": 0.01363997084895752,
      "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 0 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n\nPerformance:\n  Mass: 292.25 kg\n  Factor of Safety: 0.56\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": 292.24824162016307,
      "fos_buckling": 0.5609404492751129,
      "fos_yielding": 6.8400721666744175,
      "deflection": 0.012987445001798529,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.567)"
      },
      "parent_node_id": "node_2472",
      "improvement_over_parent": null
    },
    "node_2474": {
      "node_id": "node_2474",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n\nPerformance:\n  Mass: 320.87 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.87293403701034,
      "fos_buckling": 0.897366823320005,
      "fos_yielding": 8.285643224584033,
      "deflection": 0.010064868948377015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005026)"
      },
      "parent_node_id": "node_2473",
      "improvement_over_parent": null
    },
    "node_2475": {
      "node_id": "node_2475",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 415.65 kg\n  Factor of Safety: 1.13\n  Max Deflection: 7.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.6505761868384,
      "fos_buckling": 1.1285178022612723,
      "fos_yielding": 10.755934556994998,
      "deflection": 0.007813484461403668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2474",
      "improvement_over_parent": null
    },
    "node_2476": {
      "node_id": "node_2476",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0079)]\n\nPerformance:\n  Mass: 422.06 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.74e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 422.05756278915914,
      "fos_buckling": 1.1505123068191156,
      "fos_yielding": 10.578763466749823,
      "deflection": 0.0077426012343371105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.188)"
      },
      "parent_node_id": "node_2475",
      "improvement_over_parent": null
    },
    "node_2477": {
      "node_id": "node_2477",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0103)]\n\nPerformance:\n  Mass: 542.03 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.0339074164428,
      "fos_buckling": 1.4222849780271578,
      "fos_yielding": 13.631184490271481,
      "deflection": 0.006070271783856677,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2476",
      "improvement_over_parent": null
    },
    "node_2478": {
      "node_id": "node_2478",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2477",
      "improvement_over_parent": null
    },
    "node_2479": {
      "node_id": "node_2479",
      "content": "INITIAL DESIGN (Trace 366)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 403.62 kg\n  Factor of Safety: 1.26\n  Max Deflection: 8.06e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 403.6219300788606,
      "fos_buckling": 1.2594900644679017,
      "fos_yielding": 11.035651592473316,
      "deflection": 0.00805851798568563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2480": {
      "node_id": "node_2480",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 448.54 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.27e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 448.5415662701359,
      "fos_buckling": 1.3742986562741943,
      "fos_yielding": 12.268569335125633,
      "deflection": 0.007270099451459646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2479",
      "improvement_over_parent": null
    },
    "node_2481": {
      "node_id": "node_2481",
      "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 461.78 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.77823210656265,
      "fos_buckling": 1.3669584897997027,
      "fos_yielding": 11.82849707888127,
      "deflection": 0.007115433263798124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.337)"
      },
      "parent_node_id": "node_2480",
      "improvement_over_parent": null
    },
    "node_2482": {
      "node_id": "node_2482",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 532.13 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.20e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 532.1332101485845,
      "fos_buckling": 1.5328861497389115,
      "fos_yielding": 13.650029972487651,
      "deflection": 0.006199339958500361,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_2481",
      "improvement_over_parent": null
    },
    "node_2483": {
      "node_id": "node_2483",
      "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5435429041273,
      "fos_buckling": 1.5382166821638619,
      "fos_yielding": 14.275215940707225,
      "deflection": 0.005951399789107279,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.333)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 367)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 514.79 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 514.7863494327346,
      "fos_buckling": 1.346474008546194,
      "fos_yielding": 14.375685814821804,
      "deflection": 0.006213117625160033,
      "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: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 529.93 kg\n  Factor of Safety: 1.35\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": 529.927092015271,
      "fos_buckling": 1.3507124398480292,
      "fos_yielding": 14.42093760308965,
      "deflection": 0.006101254219124011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.339)"
      },
      "parent_node_id": "node_2485",
      "improvement_over_parent": null
    },
    "node_2487": {
      "node_id": "node_2487",
      "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.12 kg\n  Factor of Safety: 1.49\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": 533.1185298422398,
      "fos_buckling": 1.4866592676661854,
      "fos_yielding": 14.714502194078296,
      "deflection": 0.0060478154331823865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.543)"
      },
      "parent_node_id": "node_2486",
      "improvement_over_parent": null
    },
    "node_2488": {
      "node_id": "node_2488",
      "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2982439294248,
      "fos_buckling": 1.53766022574933,
      "fos_yielding": 14.269394816325036,
      "deflection": 0.005953934348641718,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.284)"
      },
      "parent_node_id": "node_2487",
      "improvement_over_parent": null
    },
    "node_2489": {
      "node_id": "node_2489",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2488",
      "improvement_over_parent": null
    },
    "node_2490": {
      "node_id": "node_2490",
      "content": "INITIAL DESIGN (Trace 368)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 265.80 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.55e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 265.80098981130607,
      "fos_buckling": 0.4526265522455588,
      "fos_yielding": 5.423715043623662,
      "deflection": 0.015535919222582946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2491": {
      "node_id": "node_2491",
      "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 277.94 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.50e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 277.94090511721464,
      "fos_buckling": 0.4522759658764613,
      "fos_yielding": 5.419514051537074,
      "deflection": 0.014954056893767201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.506)"
      },
      "parent_node_id": "node_2490",
      "improvement_over_parent": null
    },
    "node_2492": {
      "node_id": "node_2492",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 361.54 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.5376051519224,
      "fos_buckling": 0.5761713693256747,
      "fos_yielding": 7.046440567806068,
      "deflection": 0.011530356397716672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_2491",
      "improvement_over_parent": null
    },
    "node_2493": {
      "node_id": "node_2493",
      "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 370.12 kg\n  Factor of Safety: 0.58\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.1153263386864,
      "fos_buckling": 0.5758578619397938,
      "fos_yielding": 7.042606446085021,
      "deflection": 0.010970359440361257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.230)"
      },
      "parent_node_id": "node_2492",
      "improvement_over_parent": null
    },
    "node_2494": {
      "node_id": "node_2494",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n\nPerformance:\n  Mass: 397.98 kg\n  Factor of Safety: 0.94\n  Max Deflection: 8.29e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.9765606358584,
      "fos_buckling": 0.9355813770296086,
      "fos_yielding": 10.723436984767844,
      "deflection": 0.008287428507127888,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.004885)"
      },
      "parent_node_id": "node_2493",
      "improvement_over_parent": null
    },
    "node_2495": {
      "node_id": "node_2495",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 507.37 kg\n  Factor of Safety: 1.16\n  Max Deflection: 6.54e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 507.37150777669467,
      "fos_buckling": 1.161589397952679,
      "fos_yielding": 13.701123504021643,
      "deflection": 0.00653795574689261,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_2494",
      "improvement_over_parent": null
    },
    "node_2496": {
      "node_id": "node_2496",
      "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0074)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 510.46 kg\n  Factor of Safety: 1.16\n  Max Deflection: 6.51e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 510.4605137359209,
      "fos_buckling": 1.1608879708890174,
      "fos_yielding": 13.567656396740086,
      "deflection": 0.006506602532438982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.366)"
      },
      "parent_node_id": "node_2495",
      "improvement_over_parent": null
    },
    "node_2497": {
      "node_id": "node_2497",
      "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0074)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0097)]\n\nPerformance:\n  Mass: 527.25 kg\n  Factor of Safety: 1.23\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 527.2466902766021,
      "fos_buckling": 1.2267829193844035,
      "fos_yielding": 12.975303066204892,
      "deflection": 0.006327849231209084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.522)"
      },
      "parent_node_id": "node_2496",
      "improvement_over_parent": null
    },
    "node_2498": {
      "node_id": "node_2498",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2497",
      "improvement_over_parent": null
    },
    "node_2499": {
      "node_id": "node_2499",
      "content": "INITIAL DESIGN (Trace 369)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 347.88 kg\n  Factor of Safety: 0.70\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": 347.8770046278145,
      "fos_buckling": 0.7041523572079735,
      "fos_yielding": 8.802654123594769,
      "deflection": 0.011910065360805638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2500": {
      "node_id": "node_2500",
      "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 359.89 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 359.8903813640304,
      "fos_buckling": 0.8365223989890986,
      "fos_yielding": 10.104295305501562,
      "deflection": 0.011243401249828821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.235)"
      },
      "parent_node_id": "node_2499",
      "improvement_over_parent": null
    },
    "node_2501": {
      "node_id": "node_2501",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 397.82 kg\n  Factor of Safety: 0.91\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": 397.81966876946126,
      "fos_buckling": 0.9087523541342767,
      "fos_yielding": 11.14045019977205,
      "deflection": 0.010188623541578377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_2500",
      "improvement_over_parent": null
    },
    "node_2502": {
      "node_id": "node_2502",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 454.65 kg\n  Factor of Safety: 0.92\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": 454.6537346890043,
      "fos_buckling": 0.916243982913488,
      "fos_yielding": 11.238982841408419,
      "deflection": 0.01018864343941259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008313)"
      },
      "parent_node_id": "node_2501",
      "improvement_over_parent": null
    },
    "node_2503": {
      "node_id": "node_2503",
      "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 472.75 kg\n  Factor of Safety: 0.92\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": 472.75331532987093,
      "fos_buckling": 0.916906934892851,
      "fos_yielding": 11.245386787458978,
      "deflection": 0.010188642020193556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.506)"
      },
      "parent_node_id": "node_2502",
      "improvement_over_parent": null
    },
    "node_2504": {
      "node_id": "node_2504",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 533.84 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.8425025576404,
      "fos_buckling": 1.0124891726858174,
      "fos_yielding": 12.67420452764178,
      "deflection": 0.00904006440990442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2503",
      "improvement_over_parent": null
    },
    "node_2505": {
      "node_id": "node_2505",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.81 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.8120220671952,
      "fos_buckling": 1.5387408831598897,
      "fos_yielding": 14.274206285330909,
      "deflection": 0.005948422571224087,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2504",
      "improvement_over_parent": null
    },
    "node_2506": {
      "node_id": "node_2506",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2505",
      "improvement_over_parent": null
    },
    "node_2507": {
      "node_id": "node_2507",
      "content": "INITIAL DESIGN (Trace 370)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 416.51 kg\n  Factor of Safety: 0.95\n  Max Deflection: 7.90e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.5106438420237,
      "fos_buckling": 0.9469879273428699,
      "fos_yielding": 9.772922881472294,
      "deflection": 0.007902746488448818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2508": {
      "node_id": "node_2508",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 522.74 kg\n  Factor of Safety: 1.15\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 522.7393983043152,
      "fos_buckling": 1.154831457468329,
      "fos_yielding": 12.165099057507351,
      "deflection": 0.006334731621559245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2507",
      "improvement_over_parent": null
    },
    "node_2509": {
      "node_id": "node_2509",
      "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 524.77 kg\n  Factor of Safety: 1.30\n  Max Deflection: 6.28e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 524.7653511066053,
      "fos_buckling": 1.3035684866460093,
      "fos_yielding": 13.69379686755509,
      "deflection": 0.006282365479334298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.383)"
      },
      "parent_node_id": "node_2508",
      "improvement_over_parent": null
    },
    "node_2510": {
      "node_id": "node_2510",
      "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 526.70 kg\n  Factor of Safety: 1.30\n  Max Deflection: 6.25e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 526.7022662888619,
      "fos_buckling": 1.3026960680658133,
      "fos_yielding": 13.561855056334906,
      "deflection": 0.006251219844219932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.276)"
      },
      "parent_node_id": "node_2509",
      "improvement_over_parent": null
    },
    "node_2511": {
      "node_id": "node_2511",
      "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5246800459262,
      "fos_buckling": 1.5382404737223303,
      "fos_yielding": 14.276445991512709,
      "deflection": 0.005951442095396697,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.342)"
      },
      "parent_node_id": "node_2510",
      "improvement_over_parent": null
    },
    "node_2512": {
      "node_id": "node_2512",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2511",
      "improvement_over_parent": null
    },
    "node_2513": {
      "node_id": "node_2513",
      "content": "INITIAL DESIGN (Trace 371)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\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_2514": {
      "node_id": "node_2514",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n\nPerformance:\n  Mass: 330.23 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 330.2313151871308,
      "fos_buckling": 0.7370171408139007,
      "fos_yielding": 8.741990625992402,
      "deflection": 0.010656217852529593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004083)"
      },
      "parent_node_id": "node_2513",
      "improvement_over_parent": null
    },
    "node_2515": {
      "node_id": "node_2515",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n\nPerformance:\n  Mass: 402.33 kg\n  Factor of Safety: 0.87\n  Max Deflection: 8.79e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 402.32728355775004,
      "fos_buckling": 0.8704197162246246,
      "fos_yielding": 10.597634516080957,
      "deflection": 0.00878982887882944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_2514",
      "improvement_over_parent": null
    },
    "node_2516": {
      "node_id": "node_2516",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 442.51 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 442.5062700814309,
      "fos_buckling": 1.2588847843899624,
      "fos_yielding": 12.758304085329307,
      "deflection": 0.007230270878030958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007214)"
      },
      "parent_node_id": "node_2515",
      "improvement_over_parent": null
    },
    "node_2517": {
      "node_id": "node_2517",
      "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0141)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 477.65 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 477.6455598060901,
      "fos_buckling": 1.260602730389645,
      "fos_yielding": 13.68186189952759,
      "deflection": 0.006806879653491952,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.565)"
      },
      "parent_node_id": "node_2516",
      "improvement_over_parent": null
    },
    "node_2518": {
      "node_id": "node_2518",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0169)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 564.95 kg\n  Factor of Safety: 1.45\n  Max Deflection: 5.78e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 564.9534415725896,
      "fos_buckling": 1.4463231840109865,
      "fos_yielding": 16.20190325739042,
      "deflection": 0.005780538826339614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_2517",
      "improvement_over_parent": null
    },
    "node_2519": {
      "node_id": "node_2519",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2518",
      "improvement_over_parent": null
    },
    "node_2520": {
      "node_id": "node_2520",
      "content": "INITIAL DESIGN (Trace 372)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 398.82 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.24e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.8176741118915,
      "fos_buckling": 0.8375550558037576,
      "fos_yielding": 10.131560174326765,
      "deflection": 0.009239423213559323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2521": {
      "node_id": "node_2521",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 494.42 kg\n  Factor of Safety: 1.00\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": 494.41770159624537,
      "fos_buckling": 0.9971962550100545,
      "fos_yielding": 12.483145455389485,
      "deflection": 0.007497729910635116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_2520",
      "improvement_over_parent": null
    },
    "node_2522": {
      "node_id": "node_2522",
      "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 496.80 kg\n  Factor of Safety: 1.00\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": 496.80395690436467,
      "fos_buckling": 0.9971962550100545,
      "fos_yielding": 12.483145455389485,
      "deflection": 0.007497729910635116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.361)"
      },
      "parent_node_id": "node_2521",
      "improvement_over_parent": null
    },
    "node_2523": {
      "node_id": "node_2523",
      "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.80 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.8012971727778,
      "fos_buckling": 0.9971962550100545,
      "fos_yielding": 12.483145455389485,
      "deflection": 0.007461039981897633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.287)"
      },
      "parent_node_id": "node_2522",
      "improvement_over_parent": null
    },
    "node_2524": {
      "node_id": "node_2524",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4040616332808,
      "fos_buckling": 1.53797384154513,
      "fos_yielding": 14.274033596096976,
      "deflection": 0.005952687694903487,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2523",
      "improvement_over_parent": null
    },
    "node_2525": {
      "node_id": "node_2525",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2524",
      "improvement_over_parent": null
    },
    "node_2526": {
      "node_id": "node_2526",
      "content": "INITIAL DESIGN (Trace 373)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 472.73 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 472.72696145203776,
      "fos_buckling": 1.3501762577263736,
      "fos_yielding": 12.353926346227796,
      "deflection": 0.00691280461580396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2527": {
      "node_id": "node_2527",
      "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 480.95 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.75e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.9494816119398,
      "fos_buckling": 1.3451276806199552,
      "fos_yielding": 12.69220660287943,
      "deflection": 0.006746039154565892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.192)"
      },
      "parent_node_id": "node_2526",
      "improvement_over_parent": null
    },
    "node_2528": {
      "node_id": "node_2528",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 482.44 kg\n  Factor of Safety: 1.39\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": 482.43505987027186,
      "fos_buckling": 1.3919856871748935,
      "fos_yielding": 12.584378774891071,
      "deflection": 0.006716142365994584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.229)"
      },
      "parent_node_id": "node_2527",
      "improvement_over_parent": null
    },
    "node_2529": {
      "node_id": "node_2529",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.10 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1035329466853,
      "fos_buckling": 1.5373564070180659,
      "fos_yielding": 14.264665350856255,
      "deflection": 0.005955898988014402,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_2528",
      "improvement_over_parent": null
    },
    "node_2530": {
      "node_id": "node_2530",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2529",
      "improvement_over_parent": null
    },
    "node_2531": {
      "node_id": "node_2531",
      "content": "INITIAL DESIGN (Trace 374)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n\nPerformance:\n  Mass: 292.03 kg\n  Factor of Safety: 0.32\n  Max Deflection: 4.85e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 292.0287661218973,
      "fos_buckling": 0.31515700878164726,
      "fos_yielding": 4.335471726093158,
      "deflection": 0.04849308906986647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2532": {
      "node_id": "node_2532",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n\nPerformance:\n  Mass: 305.27 kg\n  Factor of Safety: 0.37\n  Max Deflection: 4.65e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 305.2689843528359,
      "fos_buckling": 0.3664243618650275,
      "fos_yielding": 4.335471726093158,
      "deflection": 0.04646019486658436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.464)"
      },
      "parent_node_id": "node_2531",
      "improvement_over_parent": null
    },
    "node_2533": {
      "node_id": "node_2533",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 337.25 kg\n  Factor of Safety: 0.40\n  Max Deflection: 4.21e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 337.2532448401175,
      "fos_buckling": 0.39958350268883935,
      "fos_yielding": 4.785798940190863,
      "deflection": 0.04208843433599423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_2532",
      "improvement_over_parent": null
    },
    "node_2534": {
      "node_id": "node_2534",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n\nPerformance:\n  Mass: 399.82 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 399.8150025902157,
      "fos_buckling": 0.7960195099193175,
      "fos_yielding": 9.532502623176686,
      "deflection": 0.01201954705065133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007922)"
      },
      "parent_node_id": "node_2533",
      "improvement_over_parent": null
    },
    "node_2535": {
      "node_id": "node_2535",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 449.44 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.4443248074059,
      "fos_buckling": 0.8790882209534411,
      "fos_yielding": 10.699064634841202,
      "deflection": 0.010709036296635778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_2534",
      "improvement_over_parent": null
    },
    "node_2536": {
      "node_id": "node_2536",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.33 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.3315513978728,
      "fos_buckling": 1.0117250393216104,
      "fos_yielding": 12.662624955867342,
      "deflection": 0.00904845697466822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2535",
      "improvement_over_parent": null
    },
    "node_2537": {
      "node_id": "node_2537",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3010709074276,
      "fos_buckling": 1.537605300794278,
      "fos_yielding": 14.272727879613988,
      "deflection": 0.005953574696067529,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 375)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 277.04 kg\n  Factor of Safety: 0.69\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 277.03712393801277,
      "fos_buckling": 0.693210929431972,
      "fos_yielding": 8.154265833015051,
      "deflection": 0.014110339942258172,
      "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: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 344.39 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.38850368398914,
      "fos_buckling": 0.8352895289367156,
      "fos_yielding": 10.093280953568598,
      "deflection": 0.011410004158321463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2539",
      "improvement_over_parent": null
    },
    "node_2541": {
      "node_id": "node_2541",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 381.55 kg\n  Factor of Safety: 0.91\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 381.5531110298951,
      "fos_buckling": 0.9093658808010108,
      "fos_yielding": 11.156100909306227,
      "deflection": 0.010328100509581257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2540",
      "improvement_over_parent": null
    },
    "node_2542": {
      "node_id": "node_2542",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 438.43 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 438.43126086037046,
      "fos_buckling": 0.9060980747475992,
      "fos_yielding": 11.11601146362371,
      "deflection": 0.00843316655681542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008320)"
      },
      "parent_node_id": "node_2541",
      "improvement_over_parent": null
    },
    "node_2543": {
      "node_id": "node_2543",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 480.65 kg\n  Factor of Safety: 1.12\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 480.64773230837045,
      "fos_buckling": 1.1243124642457272,
      "fos_yielding": 8.791584760078646,
      "deflection": 0.006878500119754948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007611)"
      },
      "parent_node_id": "node_2542",
      "improvement_over_parent": null
    },
    "node_2544": {
      "node_id": "node_2544",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 541.92 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 541.923874576958,
      "fos_buckling": 1.2572732552081352,
      "fos_yielding": 9.959922572783892,
      "deflection": 0.006120671997092724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2543",
      "improvement_over_parent": null
    },
    "node_2545": {
      "node_id": "node_2545",
      "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0085)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.60 kg\n  Factor of Safety: 1.24\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.59512934063,
      "fos_buckling": 1.2409723392086214,
      "fos_yielding": 9.830789259442447,
      "deflection": 0.006082149019448292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.565)"
      },
      "parent_node_id": "node_2544",
      "improvement_over_parent": null
    },
    "node_2546": {
      "node_id": "node_2546",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2545",
      "improvement_over_parent": null
    },
    "node_2547": {
      "node_id": "node_2547",
      "content": "INITIAL DESIGN (Trace 376)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 372.92 kg\n  Factor of Safety: 0.82\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": 372.91609746383307,
      "fos_buckling": 0.8246902827131308,
      "fos_yielding": 9.947403757032752,
      "deflection": 0.011375563352377828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2548": {
      "node_id": "node_2548",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 380.10 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 380.09780008364595,
      "fos_buckling": 0.8243146665703415,
      "fos_yielding": 9.942873079870306,
      "deflection": 0.011380813229689594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.253)"
      },
      "parent_node_id": "node_2547",
      "improvement_over_parent": null
    },
    "node_2549": {
      "node_id": "node_2549",
      "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 382.11 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 382.11125780593244,
      "fos_buckling": 0.8243146665703415,
      "fos_yielding": 9.942873079870306,
      "deflection": 0.011380813229689594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.385)"
      },
      "parent_node_id": "node_2548",
      "improvement_over_parent": null
    },
    "node_2550": {
      "node_id": "node_2550",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 483.10 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 483.09875033502016,
      "fos_buckling": 0.9981040413544543,
      "fos_yielding": 12.492448962347193,
      "deflection": 0.009028386305402545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_2549",
      "improvement_over_parent": null
    },
    "node_2551": {
      "node_id": "node_2551",
      "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 485.41 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.40687886540246,
      "fos_buckling": 0.9981040413544543,
      "fos_yielding": 12.492448962347193,
      "deflection": 0.009028386305402545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.346)"
      },
      "parent_node_id": "node_2550",
      "improvement_over_parent": null
    },
    "node_2552": {
      "node_id": "node_2552",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.38 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.3763983749573,
      "fos_buckling": 0.9964748525476369,
      "fos_yielding": 12.472057743420175,
      "deflection": 0.007467350424468445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2551",
      "improvement_over_parent": null
    },
    "node_2553": {
      "node_id": "node_2553",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9791628354603,
      "fos_buckling": 1.5370569542825352,
      "fos_yielding": 14.267208829186737,
      "deflection": 0.0059572441277746194,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2552",
      "improvement_over_parent": null
    },
    "node_2554": {
      "node_id": "node_2554",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2553",
      "improvement_over_parent": null
    },
    "node_2555": {
      "node_id": "node_2555",
      "content": "INITIAL DESIGN (Trace 377)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\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_2556": {
      "node_id": "node_2556",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 251.83 kg\n  Factor of Safety: 0.45\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": 251.82759921684675,
      "fos_buckling": 0.45444605834493124,
      "fos_yielding": 3.6178929537148616,
      "deflection": 13666337307580.139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007232)"
      },
      "parent_node_id": "node_2555",
      "improvement_over_parent": null
    },
    "node_2557": {
      "node_id": "node_2557",
      "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 253.23 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.37e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.2293555342436,
      "fos_buckling": 0.45444605834493124,
      "fos_yielding": 3.6178929537148616,
      "deflection": 13666337307580.139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.284)"
      },
      "parent_node_id": "node_2556",
      "improvement_over_parent": null
    },
    "node_2558": {
      "node_id": "node_2558",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 310.67 kg\n  Factor of Safety: 0.73\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": 310.6653495866226,
      "fos_buckling": 0.7337640438247471,
      "fos_yielding": 8.697002266250749,
      "deflection": 0.013226654510271718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007232)"
      },
      "parent_node_id": "node_2557",
      "improvement_over_parent": null
    },
    "node_2559": {
      "node_id": "node_2559",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 348.07 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.18e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 348.07160144186105,
      "fos_buckling": 0.80857548977949,
      "fos_yielding": 9.721352781957261,
      "deflection": 0.011838094690484588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_2558",
      "improvement_over_parent": null
    },
    "node_2560": {
      "node_id": "node_2560",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 451.44 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.20e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.44325430417643,
      "fos_buckling": 1.000608695936876,
      "fos_yielding": 12.527332697494561,
      "deflection": 0.009197440356323468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_2559",
      "improvement_over_parent": null
    },
    "node_2561": {
      "node_id": "node_2561",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 499.05 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 499.0460187646794,
      "fos_buckling": 0.9976114630330245,
      "fos_yielding": 12.489808204742406,
      "deflection": 0.007457250382332707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2560",
      "improvement_over_parent": null
    },
    "node_2562": {
      "node_id": "node_2562",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6487832251823,
      "fos_buckling": 1.5385198878630904,
      "fos_yielding": 14.283327387862707,
      "deflection": 0.005949851695573841,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 378)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_2565": {
      "node_id": "node_2565",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 398.75 kg\n  Factor of Safety: 0.11\n  Max Deflection: 1.88e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.748726752415,
      "fos_buckling": 0.10706423150170293,
      "fos_yielding": 1.7368991144325174,
      "deflection": 187695469801073.6,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2564",
      "improvement_over_parent": null
    },
    "node_2566": {
      "node_id": "node_2566",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.14395918577645,
      "fos_buckling": 0.9980064908894881,
      "fos_yielding": 12.493085213935531,
      "deflection": 0.007457349292585725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2565",
      "improvement_over_parent": null
    },
    "node_2567": {
      "node_id": "node_2567",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2766120783971,
      "fos_buckling": 1.5376708790153788,
      "fos_yielding": 14.269784410871935,
      "deflection": 0.005954069601047974,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2566",
      "improvement_over_parent": null
    },
    "node_2568": {
      "node_id": "node_2568",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2567",
      "improvement_over_parent": null
    },
    "node_2569": {
      "node_id": "node_2569",
      "content": "INITIAL DESIGN (Trace 379)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n\nPerformance:\n  Mass: 294.49 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 294.4887640868929,
      "fos_buckling": 0.8813568125443471,
      "fos_yielding": 8.611653440891725,
      "deflection": 0.010767409244907556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2570": {
      "node_id": "node_2570",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0035)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 333.56 kg\n  Factor of Safety: 0.98\n  Max Deflection: 9.53e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 333.56114389742356,
      "fos_buckling": 0.9836883663437385,
      "fos_yielding": 9.756731528679033,
      "deflection": 0.009528792199073035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2569",
      "improvement_over_parent": null
    },
    "node_2571": {
      "node_id": "node_2571",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 420.36 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 420.35986541099487,
      "fos_buckling": 1.1991081896079485,
      "fos_yielding": 12.301841173856088,
      "deflection": 0.007601149580441962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2570",
      "improvement_over_parent": null
    },
    "node_2572": {
      "node_id": "node_2572",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 521.75 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.16e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 521.7513033550268,
      "fos_buckling": 1.4302601991800803,
      "fos_yielding": 15.2762814455863,
      "deflection": 0.006161613173843885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2571",
      "improvement_over_parent": null
    },
    "node_2573": {
      "node_id": "node_2573",
      "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 535.34 kg\n  Factor of Safety: 1.50\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 535.3380044272601,
      "fos_buckling": 1.4967471361193572,
      "fos_yielding": 14.613513592846406,
      "deflection": 0.006030135028317909,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.368)"
      },
      "parent_node_id": "node_2572",
      "improvement_over_parent": null
    },
    "node_2574": {
      "node_id": "node_2574",
      "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.12 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1247583884241,
      "fos_buckling": 1.5372659874083094,
      "fos_yielding": 14.263803217575951,
      "deflection": 0.005955836029029345,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.222)"
      },
      "parent_node_id": "node_2573",
      "improvement_over_parent": null
    },
    "node_2575": {
      "node_id": "node_2575",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2574",
      "improvement_over_parent": null
    },
    "node_2576": {
      "node_id": "node_2576",
      "content": "INITIAL DESIGN (Trace 380)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n\nPerformance:\n  Mass: 246.94 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.74e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.93550759794965,
      "fos_buckling": 0.3033904258806173,
      "fos_yielding": 3.5120241956963656,
      "deflection": 0.057350865559869124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2577": {
      "node_id": "node_2577",
      "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n\nPerformance:\n  Mass: 254.05 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.05411734117843,
      "fos_buckling": 0.35661401472055754,
      "fos_yielding": 3.960972285658887,
      "deflection": 0.019845584495429003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003303)"
      },
      "parent_node_id": "node_2576",
      "improvement_over_parent": null
    },
    "node_2578": {
      "node_id": "node_2578",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n\nPerformance:\n  Mass: 332.31 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.52e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 332.30890132931165,
      "fos_buckling": 0.45108410868871524,
      "fos_yielding": 5.142525675616049,
      "deflection": 0.015244165746748176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_2577",
      "improvement_over_parent": null
    },
    "node_2579": {
      "node_id": "node_2579",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 392.20 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 392.2040448549354,
      "fos_buckling": 1.1709354604241518,
      "fos_yielding": 10.212003107307062,
      "deflection": 0.008216224535670792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007562)"
      },
      "parent_node_id": "node_2578",
      "improvement_over_parent": null
    },
    "node_2580": {
      "node_id": "node_2580",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 490.14 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.61e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 490.1377954675565,
      "fos_buckling": 1.4099373632233656,
      "fos_yielding": 12.788755315950855,
      "deflection": 0.0066135788048125085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2579",
      "improvement_over_parent": null
    },
    "node_2581": {
      "node_id": "node_2581",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.90 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8955522195472,
      "fos_buckling": 1.5367933225408783,
      "fos_yielding": 14.260648436582176,
      "deflection": 0.0059580180888887625,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_2580",
      "improvement_over_parent": null
    },
    "node_2582": {
      "node_id": "node_2582",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2581",
      "improvement_over_parent": null
    },
    "node_2583": {
      "node_id": "node_2583",
      "content": "INITIAL DESIGN (Trace 381)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0031)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0031)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0027)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0014)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0017)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0023)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0030)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0030)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0034)]\n\nPerformance:\n  Mass: 173.70 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.69901733382952,
      "fos_buckling": 0.43734167142611324,
      "fos_yielding": 4.44082065308075,
      "deflection": 0.0188145496801898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2584": {
      "node_id": "node_2584",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0017)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0020)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0027)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 205.35 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.34549119994043,
      "fos_buckling": 0.51323070426382,
      "fos_yielding": 5.253936547905118,
      "deflection": 0.015943133407689058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2583",
      "improvement_over_parent": null
    },
    "node_2585": {
      "node_id": "node_2585",
      "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0020)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0020)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0027)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 206.04 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.0409670782986,
      "fos_buckling": 0.5190674935487551,
      "fos_yielding": 5.209943703229445,
      "deflection": 0.01585129070628867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.229)"
      },
      "parent_node_id": "node_2584",
      "improvement_over_parent": null
    },
    "node_2586": {
      "node_id": "node_2586",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0032)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n\nPerformance:\n  Mass: 241.37 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.37059021197086,
      "fos_buckling": 0.6030658842163252,
      "fos_yielding": 6.108661917573324,
      "deflection": 0.013557781628760245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2585",
      "improvement_over_parent": null
    },
    "node_2587": {
      "node_id": "node_2587",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0042)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 315.98 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 315.9810549115397,
      "fos_buckling": 0.7756861385245561,
      "fos_yielding": 8.011935887916705,
      "deflection": 0.010399333580747782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2586",
      "improvement_over_parent": null
    },
    "node_2588": {
      "node_id": "node_2588",
      "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 332.70 kg\n  Factor of Safety: 1.02\n  Max Deflection: 9.65e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 332.7012497561757,
      "fos_buckling": 1.015470097923716,
      "fos_yielding": 8.650678963887088,
      "deflection": 0.00965086612315479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.517)"
      },
      "parent_node_id": "node_2587",
      "improvement_over_parent": null
    },
    "node_2589": {
      "node_id": "node_2589",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 427.97 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 427.9745665807907,
      "fos_buckling": 1.2605915527561942,
      "fos_yielding": 11.15063630651581,
      "deflection": 0.007545921844499091,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_2588",
      "improvement_over_parent": null
    },
    "node_2590": {
      "node_id": "node_2590",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.87 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.872268092892,
      "fos_buckling": 1.538907689092561,
      "fos_yielding": 14.284853497252884,
      "deflection": 0.0059477948215432295,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2589",
      "improvement_over_parent": null
    },
    "node_2591": {
      "node_id": "node_2591",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2590",
      "improvement_over_parent": null
    },
    "node_2592": {
      "node_id": "node_2592",
      "content": "INITIAL DESIGN (Trace 382)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 294.76 kg\n  Factor of Safety: 0.48\n  Max Deflection: 5.15e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 294.76496392911326,
      "fos_buckling": 0.4840647594200255,
      "fos_yielding": 5.368593494366808,
      "deflection": 51484373537803.32,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2593": {
      "node_id": "node_2593",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 337.04 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.88e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 337.0427397752365,
      "fos_buckling": 0.5329830030588297,
      "fos_yielding": 4.39272766978998,
      "deflection": 0.01875247173694004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007623)"
      },
      "parent_node_id": "node_2592",
      "improvement_over_parent": null
    },
    "node_2594": {
      "node_id": "node_2594",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 411.12 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.1165502633911,
      "fos_buckling": 0.5391060730912803,
      "fos_yielding": 6.314752899138411,
      "deflection": 0.012380638614949247,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009503)"
      },
      "parent_node_id": "node_2593",
      "improvement_over_parent": null
    },
    "node_2595": {
      "node_id": "node_2595",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 485.19 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.68e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.1903607515457,
      "fos_buckling": 1.3984322121280974,
      "fos_yielding": 12.657537565608758,
      "deflection": 0.006679088507549195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009503)"
      },
      "parent_node_id": "node_2594",
      "improvement_over_parent": null
    },
    "node_2596": {
      "node_id": "node_2596",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5642821271111,
      "fos_buckling": 1.5383496687346978,
      "fos_yielding": 14.277446757664151,
      "deflection": 0.005951022978751839,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_2595",
      "improvement_over_parent": null
    },
    "node_2597": {
      "node_id": "node_2597",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2596",
      "improvement_over_parent": null
    },
    "node_2598": {
      "node_id": "node_2598",
      "content": "INITIAL DESIGN (Trace 383)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 442.33 kg\n  Factor of Safety: 0.92\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": 442.3306305954249,
      "fos_buckling": 0.9177856986292172,
      "fos_yielding": 11.287592886585644,
      "deflection": 0.008331338819461008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2599": {
      "node_id": "node_2599",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 490.71 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 490.70626641955727,
      "fos_buckling": 0.9972492494199463,
      "fos_yielding": 12.482555748233755,
      "deflection": 0.0075326533158627295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2598",
      "improvement_over_parent": null
    },
    "node_2600": {
      "node_id": "node_2600",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 538.31 kg\n  Factor of Safety: 1.50\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 538.3090308800603,
      "fos_buckling": 1.498354845204257,
      "fos_yielding": 14.571246463390274,
      "deflection": 0.006016419963450961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2599",
      "improvement_over_parent": null
    },
    "node_2601": {
      "node_id": "node_2601",
      "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.17 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1658859777879,
      "fos_buckling": 1.537384882814816,
      "fos_yielding": 14.263720347287498,
      "deflection": 0.005955435025995502,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.217)"
      },
      "parent_node_id": "node_2600",
      "improvement_over_parent": null
    },
    "node_2602": {
      "node_id": "node_2602",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2601",
      "improvement_over_parent": null
    },
    "node_2603": {
      "node_id": "node_2603",
      "content": "INITIAL DESIGN (Trace 384)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 324.61 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 324.6063774216989,
      "fos_buckling": 0.7738834725013857,
      "fos_yielding": 7.1085781163945,
      "deflection": 0.013786397507947312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2604": {
      "node_id": "node_2604",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 371.55 kg\n  Factor of Safety: 0.77\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 371.54863554823095,
      "fos_buckling": 0.772385184216847,
      "fos_yielding": 7.122606740550154,
      "deflection": 0.013785790786979958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006767)"
      },
      "parent_node_id": "node_2603",
      "improvement_over_parent": null
    },
    "node_2605": {
      "node_id": "node_2605",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 439.79 kg\n  Factor of Safety: 0.89\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": 439.78944506782716,
      "fos_buckling": 0.8907882857627919,
      "fos_yielding": 8.43447183365943,
      "deflection": 0.011662006501536726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_2604",
      "improvement_over_parent": null
    },
    "node_2606": {
      "node_id": "node_2606",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 508.54 kg\n  Factor of Safety: 1.00\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 508.54089366628386,
      "fos_buckling": 1.0028713877191955,
      "fos_yielding": 9.758706334075631,
      "deflection": 0.010098216118729587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_2605",
      "improvement_over_parent": null
    },
    "node_2607": {
      "node_id": "node_2607",
      "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 518.95 kg\n  Factor of Safety: 0.99\n  Max Deflection: 9.67e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 518.9472715855055,
      "fos_buckling": 0.9853453378730809,
      "fos_yielding": 9.938809442594941,
      "deflection": 0.009666941548503265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.222)"
      },
      "parent_node_id": "node_2606",
      "improvement_over_parent": null
    },
    "node_2608": {
      "node_id": "node_2608",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 531.92 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.20e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 531.9167910950604,
      "fos_buckling": 1.53063109840833,
      "fos_yielding": 13.631381383522147,
      "deflection": 0.006204601899883966,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2607",
      "improvement_over_parent": null
    },
    "node_2609": {
      "node_id": "node_2609",
      "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5528182749413,
      "fos_buckling": 1.5386280549838645,
      "fos_yielding": 14.268303083931267,
      "deflection": 0.0059515651642880205,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.340)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 385)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 346.96 kg\n  Factor of Safety: 0.68\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 346.95983309391625,
      "fos_buckling": 0.6784797506329495,
      "fos_yielding": 8.419526054661754,
      "deflection": 0.012865742698672092,
      "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 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n\nPerformance:\n  Mass: 375.97 kg\n  Factor of Safety: 0.68\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": 375.9734951518419,
      "fos_buckling": 0.6831073868211966,
      "fos_yielding": 8.476952239337264,
      "deflection": 0.012884212947552065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005098)"
      },
      "parent_node_id": "node_2611",
      "improvement_over_parent": null
    },
    "node_2613": {
      "node_id": "node_2613",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n\nPerformance:\n  Mass: 385.50 kg\n  Factor of Safety: 1.06\n  Max Deflection: 8.38e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 385.50472614437484,
      "fos_buckling": 1.0636385733576972,
      "fos_yielding": 10.331142981764136,
      "deflection": 0.008377170522501238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004497)"
      },
      "parent_node_id": "node_2612",
      "improvement_over_parent": null
    },
    "node_2614": {
      "node_id": "node_2614",
      "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n\nPerformance:\n  Mass: 394.56 kg\n  Factor of Safety: 1.06\n  Max Deflection: 8.30e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.5562664758143,
      "fos_buckling": 1.0617320730040027,
      "fos_yielding": 10.142214396738442,
      "deflection": 0.008298052430572493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.208)"
      },
      "parent_node_id": "node_2613",
      "improvement_over_parent": null
    },
    "node_2615": {
      "node_id": "node_2615",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n\nPerformance:\n  Mass: 395.99 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.9937808838312,
      "fos_buckling": 1.0705970481739024,
      "fos_yielding": 10.072880098576343,
      "deflection": 0.00826460357310797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.220)"
      },
      "parent_node_id": "node_2614",
      "improvement_over_parent": null
    },
    "node_2616": {
      "node_id": "node_2616",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n\nPerformance:\n  Mass: 451.78 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.27e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.78394336220117,
      "fos_buckling": 1.2008321058154174,
      "fos_yielding": 11.511288427253119,
      "deflection": 0.007266206529874638,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2615",
      "improvement_over_parent": null
    },
    "node_2617": {
      "node_id": "node_2617",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0066)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0115)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 538.59 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 538.5876746375138,
      "fos_buckling": 1.3935264721896123,
      "fos_yielding": 13.759341931278563,
      "deflection": 0.006123948150932941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_2616",
      "improvement_over_parent": null
    },
    "node_2618": {
      "node_id": "node_2618",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2617",
      "improvement_over_parent": null
    },
    "node_2619": {
      "node_id": "node_2619",
      "content": "INITIAL DESIGN (Trace 386)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 318.14 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 318.1413477254127,
      "fos_buckling": 0.7787261319303985,
      "fos_yielding": 9.588427033491174,
      "deflection": 0.01133559838521954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2620": {
      "node_id": "node_2620",
      "content": "MODIFICATION: Increase 1 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 336.10 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 336.1018610781753,
      "fos_buckling": 0.7982791053617034,
      "fos_yielding": 9.577479308311565,
      "deflection": 0.010697662448670027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.661)"
      },
      "parent_node_id": "node_2619",
      "improvement_over_parent": null
    },
    "node_2621": {
      "node_id": "node_2621",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 372.26 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.26168031986754,
      "fos_buckling": 0.8893951829071549,
      "fos_yielding": 10.901362980904725,
      "deflection": 0.00871766198653081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006441)"
      },
      "parent_node_id": "node_2620",
      "improvement_over_parent": null
    },
    "node_2622": {
      "node_id": "node_2622",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0040)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0065)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n\nPerformance:\n  Mass: 376.35 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.66e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.3534468410222,
      "fos_buckling": 0.8887221787754576,
      "fos_yielding": 10.889546542026297,
      "deflection": 0.008656275389475795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.626)"
      },
      "parent_node_id": "node_2621",
      "improvement_over_parent": null
    },
    "node_2623": {
      "node_id": "node_2623",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0077)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 440.90 kg\n  Factor of Safety: 1.02\n  Max Deflection: 7.41e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.89895330265136,
      "fos_buckling": 1.0241437127005397,
      "fos_yielding": 12.754368321080394,
      "deflection": 0.00741322553523625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_2622",
      "improvement_over_parent": null
    },
    "node_2624": {
      "node_id": "node_2624",
      "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0077)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 456.57 kg\n  Factor of Safety: 1.19\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 456.5713062040214,
      "fos_buckling": 1.1938931231473602,
      "fos_yielding": 13.414409798657267,
      "deflection": 0.007006469422771365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.318)"
      },
      "parent_node_id": "node_2623",
      "improvement_over_parent": null
    },
    "node_2625": {
      "node_id": "node_2625",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0088)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0100)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 514.14 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.24e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 514.1365182971907,
      "fos_buckling": 1.325870574030794,
      "fos_yielding": 15.11429818076618,
      "deflection": 0.006242684654114109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2624",
      "improvement_over_parent": null
    },
    "node_2626": {
      "node_id": "node_2626",
      "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0088)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0100)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0124)]\n\nPerformance:\n  Mass: 532.00 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 531.9962377814985,
      "fos_buckling": 1.3295940627296727,
      "fos_yielding": 14.570800309145053,
      "deflection": 0.006144089082878554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.431)"
      },
      "parent_node_id": "node_2625",
      "improvement_over_parent": null
    },
    "node_2627": {
      "node_id": "node_2627",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2626",
      "improvement_over_parent": null
    },
    "node_2628": {
      "node_id": "node_2628",
      "content": "INITIAL DESIGN (Trace 387)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 431.98 kg\n  Factor of Safety: 1.18\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": 431.9798091666651,
      "fos_buckling": 1.1802217218119648,
      "fos_yielding": 9.637561363795115,
      "deflection": 0.00753881041213619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2629": {
      "node_id": "node_2629",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 434.55 kg\n  Factor of Safety: 1.14\n  Max Deflection: 7.42e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.55249186051805,
      "fos_buckling": 1.1435637052810987,
      "fos_yielding": 11.955013913883464,
      "deflection": 0.0074218254934571536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.344)"
      },
      "parent_node_id": "node_2628",
      "improvement_over_parent": null
    },
    "node_2630": {
      "node_id": "node_2630",
      "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 444.48 kg\n  Factor of Safety: 1.06\n  Max Deflection: 7.31e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.4837065575833,
      "fos_buckling": 1.0642689468722044,
      "fos_yielding": 11.126052715046413,
      "deflection": 0.007305993709238328,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.368)"
      },
      "parent_node_id": "node_2629",
      "improvement_over_parent": null
    },
    "node_2631": {
      "node_id": "node_2631",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.29 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.2887589931966,
      "fos_buckling": 1.2635832037718526,
      "fos_yielding": 13.491105010221348,
      "deflection": 0.006012923170533197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2630",
      "improvement_over_parent": null
    },
    "node_2632": {
      "node_id": "node_2632",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4809500136308,
      "fos_buckling": 1.5381668322971946,
      "fos_yielding": 14.279795746208736,
      "deflection": 0.005951855497882534,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.543)"
      },
      "parent_node_id": "node_2631",
      "improvement_over_parent": null
    },
    "node_2633": {
      "node_id": "node_2633",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2632",
      "improvement_over_parent": null
    },
    "node_2634": {
      "node_id": "node_2634",
      "content": "INITIAL DESIGN (Trace 388)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 218.42 kg\n  Factor of Safety: 0.06\n  Max Deflection: 1.50e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.41681617584416,
      "fos_buckling": 0.05669830803120554,
      "fos_yielding": 0.4522366192143578,
      "deflection": 150229372627105.44,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2635": {
      "node_id": "node_2635",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 276.78 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 276.7785093153461,
      "fos_buckling": 0.44255919285742495,
      "fos_yielding": 5.030904874464026,
      "deflection": 0.017304442440718257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007356)"
      },
      "parent_node_id": "node_2634",
      "improvement_over_parent": null
    },
    "node_2636": {
      "node_id": "node_2636",
      "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 279.04 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 279.04028228605665,
      "fos_buckling": 0.44255919285742495,
      "fos_yielding": 5.030904874464026,
      "deflection": 0.017304442440718257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.536)"
      },
      "parent_node_id": "node_2635",
      "improvement_over_parent": null
    },
    "node_2637": {
      "node_id": "node_2637",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 337.40 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 337.4019754255586,
      "fos_buckling": 0.7429154753268835,
      "fos_yielding": 8.821914925790864,
      "deflection": 0.010561031080166466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007356)"
      },
      "parent_node_id": "node_2636",
      "improvement_over_parent": null
    },
    "node_2638": {
      "node_id": "node_2638",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 405.27 kg\n  Factor of Safety: 0.87\n  Max Deflection: 8.83e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 405.2655398863518,
      "fos_buckling": 0.8671641264033904,
      "fos_yielding": 10.551397872540866,
      "deflection": 0.008829757971626688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2637",
      "improvement_over_parent": null
    },
    "node_2639": {
      "node_id": "node_2639",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.38 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.38072604285,
      "fos_buckling": 0.998423050770972,
      "fos_yielding": 12.498943624460436,
      "deflection": 0.007453732404901263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2638",
      "improvement_over_parent": null
    },
    "node_2640": {
      "node_id": "node_2640",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5133789354705,
      "fos_buckling": 1.5381924721863385,
      "fos_yielding": 14.27776387963528,
      "deflection": 0.005951413603033421,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2639",
      "improvement_over_parent": null
    },
    "node_2641": {
      "node_id": "node_2641",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2640",
      "improvement_over_parent": null
    },
    "node_2642": {
      "node_id": "node_2642",
      "content": "INITIAL DESIGN (Trace 389)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0033)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0036)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0045)]\n\nPerformance:\n  Mass: 229.20 kg\n  Factor of Safety: 0.48\n  Max Deflection: 2.15e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.20428100776203,
      "fos_buckling": 0.4839153409027205,
      "fos_yielding": 4.5645439734091555,
      "deflection": 0.021544329982604547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2643": {
      "node_id": "node_2643",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 284.41 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 284.4061555317939,
      "fos_buckling": 0.5890004653716406,
      "fos_yielding": 5.66283704655948,
      "deflection": 0.017387971359458552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2642",
      "improvement_over_parent": null
    },
    "node_2644": {
      "node_id": "node_2644",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 361.34 kg\n  Factor of Safety: 0.73\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 361.33721394249704,
      "fos_buckling": 0.7281253509660222,
      "fos_yielding": 7.19353129653284,
      "deflection": 0.013713405285332164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_2643",
      "improvement_over_parent": null
    },
    "node_2645": {
      "node_id": "node_2645",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n\nPerformance:\n  Mass: 370.33 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.328342017524,
      "fos_buckling": 1.1350463960282335,
      "fos_yielding": 9.496261724795469,
      "deflection": 0.008797065980088283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004226)"
      },
      "parent_node_id": "node_2644",
      "improvement_over_parent": null
    },
    "node_2646": {
      "node_id": "node_2646",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n\nPerformance:\n  Mass: 427.97 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.64e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 427.96715189427215,
      "fos_buckling": 1.2827996311849936,
      "fos_yielding": 10.98691306469293,
      "deflection": 0.007637750399667704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_2645",
      "improvement_over_parent": null
    },
    "node_2647": {
      "node_id": "node_2647",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 534.97 kg\n  Factor of Safety: 1.54\n  Max Deflection: 6.15e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 534.970182627418,
      "fos_buckling": 1.53715156690082,
      "fos_yielding": 13.763774156142876,
      "deflection": 0.0061477935862512,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_2646",
      "improvement_over_parent": null
    },
    "node_2648": {
      "node_id": "node_2648",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 547.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.94e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 547.2749877100022,
      "fos_buckling": 1.539890988100177,
      "fos_yielding": 14.283931431445511,
      "deflection": 0.005943822486242633,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.272)"
      },
      "parent_node_id": "node_2647",
      "improvement_over_parent": null
    },
    "node_2649": {
      "node_id": "node_2649",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2648",
      "improvement_over_parent": null
    },
    "node_2650": {
      "node_id": "node_2650",
      "content": "INITIAL DESIGN (Trace 390)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0023)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0047)]\n\nPerformance:\n  Mass: 219.18 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.73e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.180235311211,
      "fos_buckling": 0.42735942000417676,
      "fos_yielding": 5.099983350302946,
      "deflection": 0.017272919433065033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2651": {
      "node_id": "node_2651",
      "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0043)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0047)]\n\nPerformance:\n  Mass: 220.06 kg\n  Factor of Safety: 0.43\n  Max Deflection: 1.72e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.0582584856685,
      "fos_buckling": 0.42731136385267393,
      "fos_yielding": 5.099409862130995,
      "deflection": 0.017237883448614343,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.182)"
      },
      "parent_node_id": "node_2650",
      "improvement_over_parent": null
    },
    "node_2652": {
      "node_id": "node_2652",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n\nPerformance:\n  Mass: 258.18 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.1783908071676,
      "fos_buckling": 0.4952774135364703,
      "fos_yielding": 5.974502328367387,
      "deflection": 0.014723489975449493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_2651",
      "improvement_over_parent": null
    },
    "node_2653": {
      "node_id": "node_2653",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n\nPerformance:\n  Mass: 283.52 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 283.51659612488135,
      "fos_buckling": 0.7953408847603798,
      "fos_yielding": 7.311617492839865,
      "deflection": 0.01137475023893169,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004422)"
      },
      "parent_node_id": "node_2652",
      "improvement_over_parent": null
    },
    "node_2654": {
      "node_id": "node_2654",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n\nPerformance:\n  Mass: 335.14 kg\n  Factor of Safety: 0.93\n  Max Deflection: 9.65e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 335.1404356751453,
      "fos_buckling": 0.9255522605549882,
      "fos_yielding": 8.652994019312304,
      "deflection": 0.009652053621461222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2653",
      "improvement_over_parent": null
    },
    "node_2655": {
      "node_id": "node_2655",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 437.46 kg\n  Factor of Safety: 1.17\n  Max Deflection: 7.44e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 437.4639118325859,
      "fos_buckling": 1.1705769761634601,
      "fos_yielding": 11.321075073527975,
      "deflection": 0.007439043562535732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_2654",
      "improvement_over_parent": null
    },
    "node_2656": {
      "node_id": "node_2656",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 533.69 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.6866410517172,
      "fos_buckling": 1.38528831161514,
      "fos_yielding": 13.841561645490552,
      "deflection": 0.006132117650485422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2655",
      "improvement_over_parent": null
    },
    "node_2657": {
      "node_id": "node_2657",
      "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0115)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.46 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.4604973163292,
      "fos_buckling": 1.419775171080599,
      "fos_yielding": 13.572538638981259,
      "deflection": 0.006061572222305863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.206)"
      },
      "parent_node_id": "node_2656",
      "improvement_over_parent": null
    },
    "node_2658": {
      "node_id": "node_2658",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2657",
      "improvement_over_parent": null
    },
    "node_2659": {
      "node_id": "node_2659",
      "content": "INITIAL DESIGN (Trace 391)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 301.61 kg\n  Factor of Safety: 0.93\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": 301.614962698457,
      "fos_buckling": 0.9312574832163377,
      "fos_yielding": 7.837611453581012,
      "deflection": 0.01062539686883759,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2660": {
      "node_id": "node_2660",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 354.64 kg\n  Factor of Safety: 1.07\n  Max Deflection: 9.07e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.64408921580383,
      "fos_buckling": 1.0737829073387308,
      "fos_yielding": 9.226054861042316,
      "deflection": 0.00906581018192135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_2659",
      "improvement_over_parent": null
    },
    "node_2661": {
      "node_id": "node_2661",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 441.41 kg\n  Factor of Safety: 1.29\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": 441.41049010337616,
      "fos_buckling": 1.293671206242117,
      "fos_yielding": 11.50463717298022,
      "deflection": 0.007322170029760127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_2660",
      "improvement_over_parent": null
    },
    "node_2662": {
      "node_id": "node_2662",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.337278233117,
      "fos_buckling": 1.537832134929497,
      "fos_yielding": 14.271479210195338,
      "deflection": 0.005953421869404344,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2661",
      "improvement_over_parent": null
    },
    "node_2663": {
      "node_id": "node_2663",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2662",
      "improvement_over_parent": null
    },
    "node_2664": {
      "node_id": "node_2664",
      "content": "INITIAL DESIGN (Trace 392)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 322.98 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 322.9784226772928,
      "fos_buckling": 0.5188014591503054,
      "fos_yielding": 6.0329882964550885,
      "deflection": 0.015082276792278167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2665": {
      "node_id": "node_2665",
      "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 336.30 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 336.2998713881591,
      "fos_buckling": 0.5183621001590222,
      "fos_yielding": 6.027944755812901,
      "deflection": 0.014409163539731163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.252)"
      },
      "parent_node_id": "node_2664",
      "improvement_over_parent": null
    },
    "node_2666": {
      "node_id": "node_2666",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 390.38 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.3819796022387,
      "fos_buckling": 0.5165860176701852,
      "fos_yielding": 6.007555424449184,
      "deflection": 0.013022426324839334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007878)"
      },
      "parent_node_id": "node_2665",
      "improvement_over_parent": null
    },
    "node_2667": {
      "node_id": "node_2667",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.54 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.5401846119611,
      "fos_buckling": 0.592668264115588,
      "fos_yielding": 7.069801074915935,
      "deflection": 0.011038551765567613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_2666",
      "improvement_over_parent": null
    },
    "node_2668": {
      "node_id": "node_2668",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.94 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9354170453225,
      "fos_buckling": 1.5371822933253338,
      "fos_yielding": 14.26144184158711,
      "deflection": 0.00595746832700261,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2667",
      "improvement_over_parent": null
    },
    "node_2669": {
      "node_id": "node_2669",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2668",
      "improvement_over_parent": null
    },
    "node_2670": {
      "node_id": "node_2670",
      "content": "INITIAL DESIGN (Trace 393)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\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_2671": {
      "node_id": "node_2671",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 350.67 kg\n  Factor of Safety: 0.14\n  Max Deflection: 4.17e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 350.67281579056055,
      "fos_buckling": 0.13638276259882368,
      "fos_yielding": 1.8089464768574313,
      "deflection": 41678660356630.86,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007542)"
      },
      "parent_node_id": "node_2670",
      "improvement_over_parent": null
    },
    "node_2672": {
      "node_id": "node_2672",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n\nPerformance:\n  Mass: 424.01 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.45e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.01368756547197,
      "fos_buckling": 0.9000175349709126,
      "fos_yielding": 11.026673710372332,
      "deflection": 0.008449241567923357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009401)"
      },
      "parent_node_id": "node_2671",
      "improvement_over_parent": null
    },
    "node_2673": {
      "node_id": "node_2673",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.29 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.285805555869,
      "fos_buckling": 0.9982417980276536,
      "fos_yielding": 12.496631969873603,
      "deflection": 0.00745521813481975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_2672",
      "improvement_over_parent": null
    },
    "node_2674": {
      "node_id": "node_2674",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4184584484896,
      "fos_buckling": 1.5379677226005035,
      "fos_yielding": 14.274535100710072,
      "deflection": 0.005952489576202679,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2673",
      "improvement_over_parent": null
    },
    "node_2675": {
      "node_id": "node_2675",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2674",
      "improvement_over_parent": null
    },
    "node_2676": {
      "node_id": "node_2676",
      "content": "INITIAL DESIGN (Trace 394)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 321.01 kg\n  Factor of Safety: 0.62\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": 321.0077284342154,
      "fos_buckling": 0.6222670833109801,
      "fos_yielding": 7.667631964102078,
      "deflection": 0.011381864019342146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2677": {
      "node_id": "node_2677",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 394.59 kg\n  Factor of Safety: 0.75\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.5858904060201,
      "fos_buckling": 0.7462208233347757,
      "fos_yielding": 9.404544625695042,
      "deflection": 0.009296480403860597,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2676",
      "improvement_over_parent": null
    },
    "node_2678": {
      "node_id": "node_2678",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 450.97 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 450.97246069749656,
      "fos_buckling": 1.2111013639366222,
      "fos_yielding": 12.534097167142285,
      "deflection": 0.0071588751558452285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008242)"
      },
      "parent_node_id": "node_2677",
      "improvement_over_parent": null
    },
    "node_2679": {
      "node_id": "node_2679",
      "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 466.12 kg\n  Factor of Safety: 1.21\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.1164357004973,
      "fos_buckling": 1.206673910859996,
      "fos_yielding": 12.03211510289948,
      "deflection": 0.007013039540680616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.397)"
      },
      "parent_node_id": "node_2678",
      "improvement_over_parent": null
    },
    "node_2680": {
      "node_id": "node_2680",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0104)]\n\nPerformance:\n  Mass: 479.63 kg\n  Factor of Safety: 1.25\n  Max Deflection: 6.91e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.63308376208005,
      "fos_buckling": 1.2456396657980515,
      "fos_yielding": 11.739304967099418,
      "deflection": 0.006907789845845037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.266)"
      },
      "parent_node_id": "node_2679",
      "improvement_over_parent": null
    },
    "node_2681": {
      "node_id": "node_2681",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0120)]\n\nPerformance:\n  Mass: 545.45 kg\n  Factor of Safety: 1.39\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": 545.4468806871197,
      "fos_buckling": 1.3892990383181598,
      "fos_yielding": 13.38279347266537,
      "deflection": 0.006095771080080029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 395)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 296.82 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 296.81804553800816,
      "fos_buckling": 0.7105696204506826,
      "fos_yielding": 6.264114621859984,
      "deflection": 0.012489368351551207,
      "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 9 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0040)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 307.32 kg\n  Factor of Safety: 0.71\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": 307.3182747806725,
      "fos_buckling": 0.7100945263167779,
      "fos_yielding": 6.259926370596067,
      "deflection": 0.012171225328561316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.248)"
      },
      "parent_node_id": "node_2683",
      "improvement_over_parent": null
    },
    "node_2685": {
      "node_id": "node_2685",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 376.63 kg\n  Factor of Safety: 0.84\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": 376.6319353458855,
      "fos_buckling": 0.8440784309948113,
      "fos_yielding": 7.664017224124685,
      "deflection": 0.009966213720874912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2684",
      "improvement_over_parent": null
    },
    "node_2686": {
      "node_id": "node_2686",
      "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 379.36 kg\n  Factor of Safety: 0.84\n  Max Deflection: 9.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 379.3646179381599,
      "fos_buckling": 0.8440784309948113,
      "fos_yielding": 7.664017224124685,
      "deflection": 0.009966213720874912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.575)"
      },
      "parent_node_id": "node_2685",
      "improvement_over_parent": null
    },
    "node_2687": {
      "node_id": "node_2687",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 467.01 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.0099180893466,
      "fos_buckling": 0.9991520866875426,
      "fos_yielding": 9.426271578504306,
      "deflection": 0.008130083113625276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_2686",
      "improvement_over_parent": null
    },
    "node_2688": {
      "node_id": "node_2688",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.27 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.26937099136325,
      "fos_buckling": 0.9981916843749207,
      "fos_yielding": 12.497720714569851,
      "deflection": 0.007455335283834416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.359)"
      },
      "parent_node_id": "node_2687",
      "improvement_over_parent": null
    },
    "node_2689": {
      "node_id": "node_2689",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4020238839838,
      "fos_buckling": 1.537898724364302,
      "fos_yielding": 14.273506031226438,
      "deflection": 0.005952602443271515,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2688",
      "improvement_over_parent": null
    },
    "node_2690": {
      "node_id": "node_2690",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2689",
      "improvement_over_parent": null
    },
    "node_2691": {
      "node_id": "node_2691",
      "content": "INITIAL DESIGN (Trace 396)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 362.90 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 362.89520848420204,
      "fos_buckling": 0.41328191064305314,
      "fos_yielding": 4.947295698796238,
      "deflection": 0.01811723134668999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2692": {
      "node_id": "node_2692",
      "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 379.50 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 379.4982517066753,
      "fos_buckling": 0.5877738331395101,
      "fos_yielding": 4.941998849782827,
      "deflection": 0.016696544945302656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.587)"
      },
      "parent_node_id": "node_2691",
      "improvement_over_parent": null
    },
    "node_2693": {
      "node_id": "node_2693",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 462.89 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8934841400368,
      "fos_buckling": 0.5930540754951041,
      "fos_yielding": 7.075364609756218,
      "deflection": 0.011030257554335798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2692",
      "improvement_over_parent": null
    },
    "node_2694": {
      "node_id": "node_2694",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2887165733982,
      "fos_buckling": 1.5376601623214674,
      "fos_yielding": 14.269218130090058,
      "deflection": 0.005954003443430125,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2693",
      "improvement_over_parent": null
    },
    "node_2695": {
      "node_id": "node_2695",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2694",
      "improvement_over_parent": null
    },
    "node_2696": {
      "node_id": "node_2696",
      "content": "INITIAL DESIGN (Trace 397)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\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_2697": {
      "node_id": "node_2697",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 294.49 kg\n  Factor of Safety: 0.66\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": 294.4862025708412,
      "fos_buckling": 0.6554035110460766,
      "fos_yielding": 6.086732855756677,
      "deflection": 0.013040931967109497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005539)"
      },
      "parent_node_id": "node_2696",
      "improvement_over_parent": null
    },
    "node_2698": {
      "node_id": "node_2698",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 372.21 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.2086629966817,
      "fos_buckling": 0.8019241493507047,
      "fos_yielding": 7.678142323849812,
      "deflection": 0.010359980688081916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_2697",
      "improvement_over_parent": null
    },
    "node_2699": {
      "node_id": "node_2699",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 408.66 kg\n  Factor of Safety: 1.23\n  Max Deflection: 7.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 408.66195830440563,
      "fos_buckling": 1.2341670509249685,
      "fos_yielding": 10.49605244052714,
      "deflection": 0.007989284022060507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006497)"
      },
      "parent_node_id": "node_2698",
      "improvement_over_parent": null
    },
    "node_2700": {
      "node_id": "node_2700",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n\nPerformance:\n  Mass: 463.12 kg\n  Factor of Safety: 1.37\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.1235090266001,
      "fos_buckling": 1.3692230281165905,
      "fos_yielding": 11.907756459826897,
      "deflection": 0.007071996191228734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_2699",
      "improvement_over_parent": null
    },
    "node_2701": {
      "node_id": "node_2701",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n\nPerformance:\n  Mass: 473.91 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.83e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 473.90840070057277,
      "fos_buckling": 1.3718126350645954,
      "fos_yielding": 12.359588752329937,
      "deflection": 0.006833539967352757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.272)"
      },
      "parent_node_id": "node_2700",
      "improvement_over_parent": null
    },
    "node_2702": {
      "node_id": "node_2702",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.95 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9536965939471,
      "fos_buckling": 1.5369746987414066,
      "fos_yielding": 14.260581701566702,
      "deflection": 0.005957543707074878,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 398)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 505.73 kg\n  Factor of Safety: 1.23\n  Max Deflection: 6.53e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 505.72903486395234,
      "fos_buckling": 1.2296285013848063,
      "fos_yielding": 12.065212133065174,
      "deflection": 0.006534027789939574,
      "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: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 519.46 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.42e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 519.4568595950263,
      "fos_buckling": 1.2249223482512794,
      "fos_yielding": 11.608673188880752,
      "deflection": 0.006420967226151997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.445)"
      },
      "parent_node_id": "node_2704",
      "improvement_over_parent": null
    },
    "node_2706": {
      "node_id": "node_2706",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 544.31 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.01e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 544.3062583051767,
      "fos_buckling": 1.5175293004916182,
      "fos_yielding": 12.434656836288775,
      "deflection": 0.006011801715189301,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.466)"
      },
      "parent_node_id": "node_2705",
      "improvement_over_parent": null
    },
    "node_2707": {
      "node_id": "node_2707",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1842891914761,
      "fos_buckling": 1.537035235969249,
      "fos_yielding": 14.26910065293841,
      "deflection": 0.005955009546462543,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.186)"
      },
      "parent_node_id": "node_2706",
      "improvement_over_parent": null
    },
    "node_2708": {
      "node_id": "node_2708",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2707",
      "improvement_over_parent": null
    },
    "node_2709": {
      "node_id": "node_2709",
      "content": "INITIAL DESIGN (Trace 399)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 381.06 kg\n  Factor of Safety: 1.13\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": 381.05733183591815,
      "fos_buckling": 1.1328043923674906,
      "fos_yielding": 10.313295158210426,
      "deflection": 0.008398011193501217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2710": {
      "node_id": "node_2710",
      "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 387.83 kg\n  Factor of Safety: 1.16\n  Max Deflection: 8.31e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.82632766310167,
      "fos_buckling": 1.1597811571155527,
      "fos_yielding": 10.098231700453361,
      "deflection": 0.008306560231248084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.186)"
      },
      "parent_node_id": "node_2709",
      "improvement_over_parent": null
    },
    "node_2711": {
      "node_id": "node_2711",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 429.03 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 429.03135874068465,
      "fos_buckling": 1.2632625063429708,
      "fos_yielding": 11.180978038594636,
      "deflection": 0.007527541419477022,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_2710",
      "improvement_over_parent": null
    },
    "node_2712": {
      "node_id": "node_2712",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2802821688933,
      "fos_buckling": 1.5376532327720633,
      "fos_yielding": 14.272401314792287,
      "deflection": 0.00595381861655624,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_2711",
      "improvement_over_parent": null
    },
    "node_2713": {
      "node_id": "node_2713",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2712",
      "improvement_over_parent": null
    },
    "node_2714": {
      "node_id": "node_2714",
      "content": "INITIAL DESIGN (Trace 400)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\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_2715": {
      "node_id": "node_2715",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 415.93 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.52e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.93221754035136,
      "fos_buckling": 0.9027644468397426,
      "fos_yielding": 11.06515738707584,
      "deflection": 0.008516223900330541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007566)"
      },
      "parent_node_id": "node_2714",
      "improvement_over_parent": null
    },
    "node_2716": {
      "node_id": "node_2716",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 471.70 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.54e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.6966826655194,
      "fos_buckling": 0.9987412060095502,
      "fos_yielding": 12.502048048025785,
      "deflection": 0.007536205484193811,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_2715",
      "improvement_over_parent": null
    },
    "node_2717": {
      "node_id": "node_2717",
      "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0131)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 487.65 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 487.64750674563385,
      "fos_buckling": 1.1475624945737986,
      "fos_yielding": 12.489490651515299,
      "deflection": 0.00714214671407179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.215)"
      },
      "parent_node_id": "node_2716",
      "improvement_over_parent": null
    },
    "node_2718": {
      "node_id": "node_2718",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0131)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 551.78 kg\n  Factor of Safety: 1.50\n  Max Deflection: 5.86e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 551.7801596382544,
      "fos_buckling": 1.4996962539965148,
      "fos_yielding": 15.066783818627023,
      "deflection": 0.005857745590884498,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2717",
      "improvement_over_parent": null
    },
    "node_2719": {
      "node_id": "node_2719",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2718",
      "improvement_over_parent": null
    },
    "node_2720": {
      "node_id": "node_2720",
      "content": "INITIAL DESIGN (Trace 401)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 432.04 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 432.037924410639,
      "fos_buckling": 1.0010373303230722,
      "fos_yielding": 12.530657544301254,
      "deflection": 0.009183097234310445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2721": {
      "node_id": "node_2721",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 479.64 kg\n  Factor of Safety: 1.00\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": 479.64068887114195,
      "fos_buckling": 0.9980356238604875,
      "fos_yielding": 12.493083165612473,
      "deflection": 0.007457253793027463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2720",
      "improvement_over_parent": null
    },
    "node_2722": {
      "node_id": "node_2722",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 543.77 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.7733417637626,
      "fos_buckling": 1.365361695839521,
      "fos_yielding": 14.474247055053386,
      "deflection": 0.0059978598848542085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2721",
      "improvement_over_parent": null
    },
    "node_2723": {
      "node_id": "node_2723",
      "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0087)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 548.14 kg\n  Factor of Safety: 1.33\n  Max Deflection: 5.91e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 548.13778848285,
      "fos_buckling": 1.3295996020031224,
      "fos_yielding": 14.369771931140248,
      "deflection": 0.0059127923278188554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.385)"
      },
      "parent_node_id": "node_2722",
      "improvement_over_parent": null
    },
    "node_2724": {
      "node_id": "node_2724",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2723",
      "improvement_over_parent": null
    },
    "node_2725": {
      "node_id": "node_2725",
      "content": "INITIAL DESIGN (Trace 402)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 333.11 kg\n  Factor of Safety: 1.03\n  Max Deflection: 9.72e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 333.1120757143937,
      "fos_buckling": 1.0314791210011214,
      "fos_yielding": 8.578299933404795,
      "deflection": 0.009721914567756442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2726": {
      "node_id": "node_2726",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 339.23 kg\n  Factor of Safety: 1.03\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 339.2324138827512,
      "fos_buckling": 1.0330761890932227,
      "fos_yielding": 8.821922908042108,
      "deflection": 0.009469064074216223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.200)"
      },
      "parent_node_id": "node_2725",
      "improvement_over_parent": null
    },
    "node_2727": {
      "node_id": "node_2727",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 439.95 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 439.94627845411514,
      "fos_buckling": 1.290183878781035,
      "fos_yielding": 11.465727691461337,
      "deflection": 0.007346086363063172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_2726",
      "improvement_over_parent": null
    },
    "node_2728": {
      "node_id": "node_2728",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.74 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.7420988934165,
      "fos_buckling": 1.5366100010042503,
      "fos_yielding": 14.255253828423623,
      "deflection": 0.005959858362940347,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2727",
      "improvement_over_parent": null
    },
    "node_2729": {
      "node_id": "node_2729",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2728",
      "improvement_over_parent": null
    },
    "node_2730": {
      "node_id": "node_2730",
      "content": "INITIAL DESIGN (Trace 403)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 387.16 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.15984199129883,
      "fos_buckling": 0.5958051327945987,
      "fos_yielding": 7.107688627675726,
      "deflection": 0.013287767735965173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2731": {
      "node_id": "node_2731",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 434.76 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.7626064518018,
      "fos_buckling": 0.594013490818094,
      "fos_yielding": 7.086637937566967,
      "deflection": 0.011536873467285174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2730",
      "improvement_over_parent": null
    },
    "node_2732": {
      "node_id": "node_2732",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 456.56 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 456.5603891090348,
      "fos_buckling": 0.5931966718056338,
      "fos_yielding": 7.0579224480479885,
      "deflection": 0.010728973282199563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.389)"
      },
      "parent_node_id": "node_2731",
      "improvement_over_parent": null
    },
    "node_2733": {
      "node_id": "node_2733",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 539.96 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 539.9556215423962,
      "fos_buckling": 1.190673294106162,
      "fos_yielding": 12.864699743032471,
      "deflection": 0.006327889326819332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2732",
      "improvement_over_parent": null
    },
    "node_2734": {
      "node_id": "node_2734",
      "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0132)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0161)]\n\nPerformance:\n  Mass: 575.01 kg\n  Factor of Safety: 1.18\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 575.0106428078548,
      "fos_buckling": 1.181507957492586,
      "fos_yielding": 12.765672323704996,
      "deflection": 0.006031723494412421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.486)"
      },
      "parent_node_id": "node_2733",
      "improvement_over_parent": null
    },
    "node_2735": {
      "node_id": "node_2735",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2734",
      "improvement_over_parent": null
    },
    "node_2736": {
      "node_id": "node_2736",
      "content": "INITIAL DESIGN (Trace 404)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_2737": {
      "node_id": "node_2737",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.15 kg\n  Factor of Safety: 1.00\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": 482.1465619988734,
      "fos_buckling": 0.9980356238604873,
      "fos_yielding": 12.493083165612473,
      "deflection": 0.007457272458590768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2736",
      "improvement_over_parent": null
    },
    "node_2738": {
      "node_id": "node_2738",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.279214891494,
      "fos_buckling": 1.5377003541588654,
      "fos_yielding": 14.269864165691667,
      "deflection": 0.005954037788644472,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2737",
      "improvement_over_parent": null
    },
    "node_2739": {
      "node_id": "node_2739",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2738",
      "improvement_over_parent": null
    },
    "node_2740": {
      "node_id": "node_2740",
      "content": "INITIAL DESIGN (Trace 405)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 340.50 kg\n  Factor of Safety: 1.02\n  Max Deflection: 9.36e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 340.4982170262091,
      "fos_buckling": 1.022855278911089,
      "fos_yielding": 9.372947097108378,
      "deflection": 0.009357836574494578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2741": {
      "node_id": "node_2741",
      "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 349.14 kg\n  Factor of Safety: 1.06\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": 349.13517936728795,
      "fos_buckling": 1.059227494960142,
      "fos_yielding": 9.080968274748006,
      "deflection": 0.009205919194392733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.282)"
      },
      "parent_node_id": "node_2740",
      "improvement_over_parent": null
    },
    "node_2742": {
      "node_id": "node_2742",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 440.10 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.1030238770073,
      "fos_buckling": 1.29043525691929,
      "fos_yielding": 11.469367144493816,
      "deflection": 0.007343455291354678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_2741",
      "improvement_over_parent": null
    },
    "node_2743": {
      "node_id": "node_2743",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.93 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9322896253568,
      "fos_buckling": 1.536885869371777,
      "fos_yielding": 14.25971577480586,
      "deflection": 0.005957782718100645,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 406)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 316.73 kg\n  Factor of Safety: 0.64\n  Max Deflection: 5.93e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 316.7272576330963,
      "fos_buckling": 0.6416405227753759,
      "fos_yielding": 8.514977934832721,
      "deflection": 59322736057707.266,
      "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: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 324.12 kg\n  Factor of Safety: 6.07\n  Max Deflection: 5.94e+13 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 324.12288788446153,
      "fos_buckling": 6.071218457023448,
      "fos_yielding": 104.76966524766836,
      "deflection": 59350999600708.805,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.202)"
      },
      "parent_node_id": "node_2745",
      "improvement_over_parent": null
    },
    "node_2747": {
      "node_id": "node_2747",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 407.52 kg\n  Factor of Safety: 1.01\n  Max Deflection: 4.46e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 407.518120317823,
      "fos_buckling": 1.0147172103094357,
      "fos_yielding": 9.990552837614175,
      "deflection": 4463947799273.883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2746",
      "improvement_over_parent": null
    },
    "node_2748": {
      "node_id": "node_2748",
      "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 421.59 kg\n  Factor of Safety: 1.01\n  Max Deflection: 1.14e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.5906086019627,
      "fos_buckling": 1.014717210309436,
      "fos_yielding": 12.541364225051094,
      "deflection": 1138010981729.7957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.323)"
      },
      "parent_node_id": "node_2747",
      "improvement_over_parent": null
    },
    "node_2749": {
      "node_id": "node_2749",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 434.56 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.56012811151754,
      "fos_buckling": 1.0010068900713018,
      "fos_yielding": 12.530644331031864,
      "deflection": 0.0091828574741625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2748",
      "improvement_over_parent": null
    },
    "node_2750": {
      "node_id": "node_2750",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 481.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.60e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.6777982741721,
      "fos_buckling": 0.9980357750757128,
      "fos_yielding": 12.493451794551254,
      "deflection": 0.0076046826728852135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006794)"
      },
      "parent_node_id": "node_2749",
      "improvement_over_parent": null
    },
    "node_2751": {
      "node_id": "node_2751",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 529.28 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 529.2805627346751,
      "fos_buckling": 1.4690087189714778,
      "fos_yielding": 14.884574504659849,
      "deflection": 0.006081953853204763,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2750",
      "improvement_over_parent": null
    },
    "node_2752": {
      "node_id": "node_2752",
      "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0088)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 533.78 kg\n  Factor of Safety: 1.49\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.7755328342504,
      "fos_buckling": 1.4875419777139365,
      "fos_yielding": 18.62350145845649,
      "deflection": 0.006000090956851485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.397)"
      },
      "parent_node_id": "node_2751",
      "improvement_over_parent": null
    },
    "node_2753": {
      "node_id": "node_2753",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2752",
      "improvement_over_parent": null
    },
    "node_2754": {
      "node_id": "node_2754",
      "content": "INITIAL DESIGN (Trace 407)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n\nPerformance:\n  Mass: 217.62 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.61930531674687,
      "fos_buckling": 0.3101932465587518,
      "fos_yielding": 3.4047956006372657,
      "deflection": 0.023117166778116652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2755": {
      "node_id": "node_2755",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0062)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 276.96 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 276.9611771828513,
      "fos_buckling": 0.38500485038910653,
      "fos_yielding": 4.308677196289846,
      "deflection": 0.018229558509952726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_2754",
      "improvement_over_parent": null
    },
    "node_2756": {
      "node_id": "node_2756",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n\nPerformance:\n  Mass: 334.66 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 334.6572446119107,
      "fos_buckling": 0.45381017060635026,
      "fos_yielding": 5.177720124086776,
      "deflection": 0.01513941570076964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2755",
      "improvement_over_parent": null
    },
    "node_2757": {
      "node_id": "node_2757",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n\nPerformance:\n  Mass: 385.25 kg\n  Factor of Safety: 0.51\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": 385.25228927121793,
      "fos_buckling": 0.5109906923409648,
      "fos_yielding": 5.932002650830183,
      "deflection": 0.013191303394084674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2756",
      "improvement_over_parent": null
    },
    "node_2758": {
      "node_id": "node_2758",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.78 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.78021431790995,
      "fos_buckling": 0.5929533054640593,
      "fos_yielding": 7.073909257063464,
      "deflection": 0.011032616697391133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_2757",
      "improvement_over_parent": null
    },
    "node_2759": {
      "node_id": "node_2759",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1754467512714,
      "fos_buckling": 1.5374415413101752,
      "fos_yielding": 14.267267058311118,
      "deflection": 0.0059551021249677925,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2758",
      "improvement_over_parent": null
    },
    "node_2760": {
      "node_id": "node_2760",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2759",
      "improvement_over_parent": null
    },
    "node_2761": {
      "node_id": "node_2761",
      "content": "INITIAL DESIGN (Trace 408)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0034)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0034)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0030)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0030)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0019)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0016)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0019)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0033)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0033)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0038)]\n\nPerformance:\n  Mass: 199.46 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.62e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.46389004001733,
      "fos_buckling": 0.5306002300039316,
      "fos_yielding": 3.9403453511667794,
      "deflection": 0.016208584166824618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2762": {
      "node_id": "node_2762",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0020)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n\nPerformance:\n  Mass: 251.67 kg\n  Factor of Safety: 0.66\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": 251.67371256140223,
      "fos_buckling": 0.6639795076028888,
      "fos_yielding": 4.986940360684885,
      "deflection": 0.012884106710066883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_2761",
      "improvement_over_parent": null
    },
    "node_2763": {
      "node_id": "node_2763",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 330.06 kg\n  Factor of Safety: 0.86\n  Max Deflection: 9.87e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 330.05834664491834,
      "fos_buckling": 0.859848761490711,
      "fos_yielding": 6.570985703459646,
      "deflection": 0.009867744122706839,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_2762",
      "improvement_over_parent": null
    },
    "node_2764": {
      "node_id": "node_2764",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 397.23 kg\n  Factor of Safety: 1.02\n  Max Deflection: 8.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.2283317804194,
      "fos_buckling": 1.023458292242218,
      "fos_yielding": 7.9411805102359905,
      "deflection": 0.008230030563262769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2763",
      "improvement_over_parent": null
    },
    "node_2765": {
      "node_id": "node_2765",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 464.15 kg\n  Factor of Safety: 1.18\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 464.1518286905298,
      "fos_buckling": 1.1825222378066815,
      "fos_yielding": 9.318743485805934,
      "deflection": 0.007069685837499768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2764",
      "improvement_over_parent": null
    },
    "node_2766": {
      "node_id": "node_2766",
      "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 467.09 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.0890115467427,
      "fos_buckling": 1.3556200089298247,
      "fos_yielding": 12.182668338439035,
      "deflection": 0.006930319416519071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.389)"
      },
      "parent_node_id": "node_2765",
      "improvement_over_parent": null
    },
    "node_2767": {
      "node_id": "node_2767",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 547.02 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 547.0193487013032,
      "fos_buckling": 1.5393536987014782,
      "fos_yielding": 14.291880005425043,
      "deflection": 0.005946203020092342,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2766",
      "improvement_over_parent": null
    },
    "node_2768": {
      "node_id": "node_2768",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2767",
      "improvement_over_parent": null
    },
    "node_2769": {
      "node_id": "node_2769",
      "content": "INITIAL DESIGN (Trace 409)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_2770": {
      "node_id": "node_2770",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 442.06 kg\n  Factor of Safety: 0.68\n  Max Deflection: 9.38e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 442.0620801273242,
      "fos_buckling": 0.683300284530254,
      "fos_yielding": 8.517129099413514,
      "deflection": 0.009379676291222524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2769",
      "improvement_over_parent": null
    },
    "node_2771": {
      "node_id": "node_2771",
      "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 457.95 kg\n  Factor of Safety: 0.68\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 457.9457730174505,
      "fos_buckling": 0.6826155670360274,
      "fos_yielding": 8.508594305228605,
      "deflection": 0.009006872255744766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.486)"
      },
      "parent_node_id": "node_2770",
      "improvement_over_parent": null
    },
    "node_2772": {
      "node_id": "node_2772",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 505.55 kg\n  Factor of Safety: 1.17\n  Max Deflection: 6.65e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 505.54853747795346,
      "fos_buckling": 1.1706349771728704,
      "fos_yielding": 12.703798155658713,
      "deflection": 0.006646231673703721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2771",
      "improvement_over_parent": null
    },
    "node_2773": {
      "node_id": "node_2773",
      "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0153)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 539.10 kg\n  Factor of Safety: 1.16\n  Max Deflection: 6.49e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 539.0976805569694,
      "fos_buckling": 1.164769376330271,
      "fos_yielding": 12.19438260510503,
      "deflection": 0.006489362238134953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.613)"
      },
      "parent_node_id": "node_2772",
      "improvement_over_parent": null
    },
    "node_2774": {
      "node_id": "node_2774",
      "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0153)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 550.02 kg\n  Factor of Safety: 1.17\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 550.0218694673252,
      "fos_buckling": 1.166652113333529,
      "fos_yielding": 12.562838101729152,
      "deflection": 0.006329797219456683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.235)"
      },
      "parent_node_id": "node_2773",
      "improvement_over_parent": null
    },
    "node_2775": {
      "node_id": "node_2775",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2774",
      "improvement_over_parent": null
    },
    "node_2776": {
      "node_id": "node_2776",
      "content": "INITIAL DESIGN (Trace 410)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 290.74 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 290.74408492721506,
      "fos_buckling": 0.4211704304398956,
      "fos_yielding": 3.8111049114971043,
      "deflection": 0.021879463385085243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2777": {
      "node_id": "node_2777",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 354.96 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 354.95659349719915,
      "fos_buckling": 0.47872496921121627,
      "fos_yielding": 5.502521079719525,
      "deflection": 0.014265445124788815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008146)"
      },
      "parent_node_id": "node_2776",
      "improvement_over_parent": null
    },
    "node_2778": {
      "node_id": "node_2778",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 416.72 kg\n  Factor of Safety: 0.55\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": 416.72206198739343,
      "fos_buckling": 0.5468455353889262,
      "fos_yielding": 6.421967425916652,
      "deflection": 0.01219680336819477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2777",
      "improvement_over_parent": null
    },
    "node_2779": {
      "node_id": "node_2779",
      "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 418.38 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.38403811746787,
      "fos_buckling": 0.5468455353889262,
      "fos_yielding": 6.421967425916652,
      "deflection": 0.012170959082821398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.256)"
      },
      "parent_node_id": "node_2778",
      "improvement_over_parent": null
    },
    "node_2780": {
      "node_id": "node_2780",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 462.93 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.9263351033199,
      "fos_buckling": 0.5930958191644541,
      "fos_yielding": 7.07596590688078,
      "deflection": 0.011029290982245555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2779",
      "improvement_over_parent": null
    },
    "node_2781": {
      "node_id": "node_2781",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.32 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3215675366813,
      "fos_buckling": 1.537688926891535,
      "fos_yielding": 14.270800446776057,
      "deflection": 0.005953592276518124,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2780",
      "improvement_over_parent": null
    },
    "node_2782": {
      "node_id": "node_2782",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2781",
      "improvement_over_parent": null
    },
    "node_2783": {
      "node_id": "node_2783",
      "content": "INITIAL DESIGN (Trace 411)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 395.58 kg\n  Factor of Safety: 0.72\n  Max Deflection: 9.71e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 395.5836349795557,
      "fos_buckling": 0.7175864449050365,
      "fos_yielding": 8.996560358392584,
      "deflection": 0.00971456907759437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2784": {
      "node_id": "node_2784",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 434.47 kg\n  Factor of Safety: 1.15\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": 434.47027525885784,
      "fos_buckling": 1.1545038925345052,
      "fos_yielding": 11.228705654654235,
      "deflection": 0.007495591856364953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006964)"
      },
      "parent_node_id": "node_2783",
      "improvement_over_parent": null
    },
    "node_2785": {
      "node_id": "node_2785",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 479.35 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.3507391525527,
      "fos_buckling": 1.2562450461945474,
      "fos_yielding": 12.401422775378368,
      "deflection": 0.0068115718918322484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_2784",
      "improvement_over_parent": null
    },
    "node_2786": {
      "node_id": "node_2786",
      "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0104)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n\nPerformance:\n  Mass: 491.07 kg\n  Factor of Safety: 1.29\n  Max Deflection: 6.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 491.07395619099805,
      "fos_buckling": 1.290797768492601,
      "fos_yielding": 12.138578586215177,
      "deflection": 0.0067246991341279976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.225)"
      },
      "parent_node_id": "node_2785",
      "improvement_over_parent": null
    },
    "node_2787": {
      "node_id": "node_2787",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0116)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 544.65 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.6461392246035,
      "fos_buckling": 1.4082253631669892,
      "fos_yielding": 13.487753231994274,
      "deflection": 0.006081094568216171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2786",
      "improvement_over_parent": null
    },
    "node_2788": {
      "node_id": "node_2788",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2787",
      "improvement_over_parent": null
    },
    "node_2789": {
      "node_id": "node_2789",
      "content": "INITIAL DESIGN (Trace 412)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 371.99 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.44e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 371.99388446739624,
      "fos_buckling": 0.4543208885243887,
      "fos_yielding": 6.421561181478323,
      "deflection": 0.014405390589942238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2790": {
      "node_id": "node_2790",
      "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n\nPerformance:\n  Mass: 380.24 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 380.23850468966396,
      "fos_buckling": 0.5456798756973217,
      "fos_yielding": 6.411616195185041,
      "deflection": 0.013699017495301603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.259)"
      },
      "parent_node_id": "node_2789",
      "improvement_over_parent": null
    },
    "node_2791": {
      "node_id": "node_2791",
      "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 401.08 kg\n  Factor of Safety: 0.54\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": 401.0821282563032,
      "fos_buckling": 0.544959894633106,
      "fos_yielding": 6.4032592806029305,
      "deflection": 0.013233251064850448,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.418)"
      },
      "parent_node_id": "node_2790",
      "improvement_over_parent": null
    },
    "node_2792": {
      "node_id": "node_2792",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 413.14 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 413.1404826835134,
      "fos_buckling": 0.5445442414314148,
      "fos_yielding": 6.388807069468501,
      "deflection": 0.01229096866734417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.287)"
      },
      "parent_node_id": "node_2791",
      "improvement_over_parent": null
    },
    "node_2793": {
      "node_id": "node_2793",
      "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 416.12 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 416.1165926880049,
      "fos_buckling": 0.5445442414314148,
      "fos_yielding": 6.3888070694685,
      "deflection": 0.012234607242017654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.567)"
      },
      "parent_node_id": "node_2792",
      "improvement_over_parent": null
    },
    "node_2794": {
      "node_id": "node_2794",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 491.09 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.60e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 491.0939367173913,
      "fos_buckling": 1.4118728148497481,
      "fos_yielding": 12.811808553260667,
      "deflection": 0.006601287694189632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009629)"
      },
      "parent_node_id": "node_2793",
      "improvement_over_parent": null
    },
    "node_2795": {
      "node_id": "node_2795",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5058662539192,
      "fos_buckling": 1.5378389756469946,
      "fos_yielding": 14.274397197787783,
      "deflection": 0.005951764609581322,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 413)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n\nPerformance:\n  Mass: 355.39 kg\n  Factor of Safety: 0.34\n  Max Deflection: 3.87e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.3918008095374,
      "fos_buckling": 0.34231776309054873,
      "fos_yielding": 5.117838548992428,
      "deflection": 0.03866405960748846,
      "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 1 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n\nPerformance:\n  Mass: 366.63 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 366.6272355205128,
      "fos_buckling": 0.3418297395339423,
      "fos_yielding": 5.110542328813063,
      "deflection": 0.014675995890182038,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005367)"
      },
      "parent_node_id": "node_2797",
      "improvement_over_parent": null
    },
    "node_2799": {
      "node_id": "node_2799",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 423.74 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.73919637932374,
      "fos_buckling": 0.38993746742883917,
      "fos_yielding": 5.913457360575594,
      "deflection": 0.012728217544870465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_2798",
      "improvement_over_parent": null
    },
    "node_2800": {
      "node_id": "node_2800",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 507.13 kg\n  Factor of Safety: 1.10\n  Max Deflection: 6.57e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 507.1344288126852,
      "fos_buckling": 1.0965305658341418,
      "fos_yielding": 13.34732951151394,
      "deflection": 0.006571030883337492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2799",
      "improvement_over_parent": null
    },
    "node_2801": {
      "node_id": "node_2801",
      "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0118)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 521.24 kg\n  Factor of Safety: 1.05\n  Max Deflection: 6.50e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 521.2395514917578,
      "fos_buckling": 1.0524785601888933,
      "fos_yielding": 13.641135035156008,
      "deflection": 0.006500195378361471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.248)"
      },
      "parent_node_id": "node_2800",
      "improvement_over_parent": null
    },
    "node_2802": {
      "node_id": "node_2802",
      "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0118)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 530.63 kg\n  Factor of Safety: 1.24\n  Max Deflection: 6.35e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.6341422424916,
      "fos_buckling": 1.2430558567242338,
      "fos_yielding": 13.563129724309835,
      "deflection": 0.006346357633193009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.346)"
      },
      "parent_node_id": "node_2801",
      "improvement_over_parent": null
    },
    "node_2803": {
      "node_id": "node_2803",
      "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0118)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 549.75 kg\n  Factor of Safety: 1.40\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 549.7536867617697,
      "fos_buckling": 1.4019215873986846,
      "fos_yielding": 14.465795060393877,
      "deflection": 0.005987909529142574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.490)"
      },
      "parent_node_id": "node_2802",
      "improvement_over_parent": null
    },
    "node_2804": {
      "node_id": "node_2804",
      "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0118)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 558.75 kg\n  Factor of Safety: 1.47\n  Max Deflection: 5.91e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 558.7496939987547,
      "fos_buckling": 1.4736396298100123,
      "fos_yielding": 14.077026805892894,
      "deflection": 0.00590854665597667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.256)"
      },
      "parent_node_id": "node_2803",
      "improvement_over_parent": null
    },
    "node_2805": {
      "node_id": "node_2805",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2804",
      "improvement_over_parent": null
    },
    "node_2806": {
      "node_id": "node_2806",
      "content": "INITIAL DESIGN (Trace 414)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 434.45 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.20e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.4460657279482,
      "fos_buckling": 0.923224649006,
      "fos_yielding": 11.366626170813248,
      "deflection": 0.008196432407100902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2807": {
      "node_id": "node_2807",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 478.74 kg\n  Factor of Safety: 1.00\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": 478.74393081708814,
      "fos_buckling": 0.9978560680035194,
      "fos_yielding": 12.490322019491115,
      "deflection": 0.007458921270601809,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_2806",
      "improvement_over_parent": null
    },
    "node_2808": {
      "node_id": "node_2808",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 542.88 kg\n  Factor of Safety: 1.25\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.8765837097087,
      "fos_buckling": 1.248223724156202,
      "fos_yielding": 13.30325221506603,
      "deflection": 0.006019138941601081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2807",
      "improvement_over_parent": null
    },
    "node_2809": {
      "node_id": "node_2809",
      "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.16 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1580860224655,
      "fos_buckling": 1.537405878165039,
      "fos_yielding": 14.266790092284248,
      "deflection": 0.005955397020679227,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.567)"
      },
      "parent_node_id": "node_2808",
      "improvement_over_parent": null
    },
    "node_2810": {
      "node_id": "node_2810",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2809",
      "improvement_over_parent": null
    },
    "node_2811": {
      "node_id": "node_2811",
      "content": "INITIAL DESIGN (Trace 415)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 391.76 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.76378538578444,
      "fos_buckling": 0.48096826551749317,
      "fos_yielding": 5.189307164036593,
      "deflection": 0.012560347020867004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2812": {
      "node_id": "node_2812",
      "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 394.37 kg\n  Factor of Safety: 0.60\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": 394.3676175309819,
      "fos_buckling": 0.5955683797694077,
      "fos_yielding": 7.107154068109706,
      "deflection": 0.012192900127946044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.406)"
      },
      "parent_node_id": "node_2811",
      "improvement_over_parent": null
    },
    "node_2813": {
      "node_id": "node_2813",
      "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 413.69 kg\n  Factor of Safety: 0.59\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": 413.69037424959413,
      "fos_buckling": 0.5948403993802052,
      "fos_yielding": 7.098598173271724,
      "deflection": 0.012206049782567679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.473)"
      },
      "parent_node_id": "node_2812",
      "improvement_over_parent": null
    },
    "node_2814": {
      "node_id": "node_2814",
      "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 415.28 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 415.2803633036889,
      "fos_buckling": 0.5948403993802052,
      "fos_yielding": 7.098598173271724,
      "deflection": 0.012206049782567679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.217)"
      },
      "parent_node_id": "node_2813",
      "improvement_over_parent": null
    },
    "node_2815": {
      "node_id": "node_2815",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.67559573705034,
      "fos_buckling": 0.996997691837134,
      "fos_yielding": 12.480090672380761,
      "deflection": 0.007462811553047346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2814",
      "improvement_over_parent": null
    },
    "node_2816": {
      "node_id": "node_2816",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2783601975533,
      "fos_buckling": 1.5376880842557759,
      "fos_yielding": 14.269661464540434,
      "deflection": 0.005954042861249281,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2815",
      "improvement_over_parent": null
    },
    "node_2817": {
      "node_id": "node_2817",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2816",
      "improvement_over_parent": null
    },
    "node_2818": {
      "node_id": "node_2818",
      "content": "INITIAL DESIGN (Trace 416)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 265.84 kg\n  Factor of Safety: 0.61\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": 265.84244417113854,
      "fos_buckling": 0.6068965102827341,
      "fos_yielding": 6.987430467349994,
      "deflection": 0.013386459250062054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2819": {
      "node_id": "node_2819",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0070)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 346.46 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 346.4571089608625,
      "fos_buckling": 0.7647293586449502,
      "fos_yielding": 9.046602547584719,
      "deflection": 0.010323703862986398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2818",
      "improvement_over_parent": null
    },
    "node_2820": {
      "node_id": "node_2820",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 391.53 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.52748843946625,
      "fos_buckling": 0.8477895916722301,
      "fos_yielding": 10.187874806951823,
      "deflection": 0.009161017142821427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2819",
      "improvement_over_parent": null
    },
    "node_2821": {
      "node_id": "node_2821",
      "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 394.38 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.38112254043943,
      "fos_buckling": 0.84778959167223,
      "fos_yielding": 10.27507953058765,
      "deflection": 0.009067302990000014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.610)"
      },
      "parent_node_id": "node_2820",
      "improvement_over_parent": null
    },
    "node_2822": {
      "node_id": "node_2822",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 446.83 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 446.83222641257606,
      "fos_buckling": 1.306858765610498,
      "fos_yielding": 11.647790221167236,
      "deflection": 0.007235637384620346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007622)"
      },
      "parent_node_id": "node_2821",
      "improvement_over_parent": null
    },
    "node_2823": {
      "node_id": "node_2823",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.12 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1245758736384,
      "fos_buckling": 1.5373497293349472,
      "fos_yielding": 14.266448289602456,
      "deflection": 0.005955618251497269,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2822",
      "improvement_over_parent": null
    },
    "node_2824": {
      "node_id": "node_2824",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2823",
      "improvement_over_parent": null
    },
    "node_2825": {
      "node_id": "node_2825",
      "content": "INITIAL DESIGN (Trace 417)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0028)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0011)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n\nPerformance:\n  Mass: 142.92 kg\n  Factor of Safety: 0.30\n  Max Deflection: 6.14e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.9157794517983,
      "fos_buckling": 0.30269466180295646,
      "fos_yielding": 1.818460947788651,
      "deflection": 61350783627071.984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2826": {
      "node_id": "node_2826",
      "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0028)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n\nPerformance:\n  Mass: 144.16 kg\n  Factor of Safety: 0.50\n  Max Deflection: 6.88e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.15907976364343,
      "fos_buckling": 0.49791706282464654,
      "fos_yielding": 2.3849752210208455,
      "deflection": 68778953343905.19,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.608)"
      },
      "parent_node_id": "node_2825",
      "improvement_over_parent": null
    },
    "node_2827": {
      "node_id": "node_2827",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0028)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0028)]\n\nPerformance:\n  Mass: 160.68 kg\n  Factor of Safety: 0.23\n  Max Deflection: 3.12e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.68490755412896,
      "fos_buckling": 0.23454699172634563,
      "fos_yielding": 2.5277972209412045,
      "deflection": 0.031199364624575107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.002839)"
      },
      "parent_node_id": "node_2826",
      "improvement_over_parent": null
    },
    "node_2828": {
      "node_id": "node_2828",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0032)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0032)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0028)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0021)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0018)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0035)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0031)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0028)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0035)]\n\nPerformance:\n  Mass: 189.64 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.68e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.63817507146047,
      "fos_buckling": 0.6096976853824777,
      "fos_yielding": 4.915890094931318,
      "deflection": 0.016784116737158208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.003539)"
      },
      "parent_node_id": "node_2827",
      "improvement_over_parent": null
    },
    "node_2829": {
      "node_id": "node_2829",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0042)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0027)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0037)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0046)]\n\nPerformance:\n  Mass: 246.45 kg\n  Factor of Safety: 0.78\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.44875018383223,
      "fos_buckling": 0.7763470980147444,
      "fos_yielding": 6.396308551333258,
      "deflection": 0.012960118650322035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_2828",
      "improvement_over_parent": null
    },
    "node_2830": {
      "node_id": "node_2830",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0056)]\n\nPerformance:\n  Mass: 296.12 kg\n  Factor of Safety: 0.92\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 296.1154021588545,
      "fos_buckling": 0.9161060433856439,
      "fos_yielding": 7.693509709667434,
      "deflection": 0.01081911141807928,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_2829",
      "improvement_over_parent": null
    },
    "node_2831": {
      "node_id": "node_2831",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 388.50 kg\n  Factor of Safety: 1.16\n  Max Deflection: 8.29e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 388.50176774033696,
      "fos_buckling": 1.1615264104304426,
      "fos_yielding": 10.113810904918136,
      "deflection": 0.008292754247450193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2830",
      "improvement_over_parent": null
    },
    "node_2832": {
      "node_id": "node_2832",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 468.30 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.91e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 468.3015086952513,
      "fos_buckling": 1.3584819349285457,
      "fos_yielding": 12.21209449144762,
      "deflection": 0.006912929958691629,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2831",
      "improvement_over_parent": null
    },
    "node_2833": {
      "node_id": "node_2833",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.32 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3172462725985,
      "fos_buckling": 1.537769870508657,
      "fos_yielding": 14.270425405380692,
      "deflection": 0.0059536340188693915,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_2832",
      "improvement_over_parent": null
    },
    "node_2834": {
      "node_id": "node_2834",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 9,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2833",
      "improvement_over_parent": null
    },
    "node_2835": {
      "node_id": "node_2835",
      "content": "INITIAL DESIGN (Trace 418)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\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_2836": {
      "node_id": "node_2836",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nPerformance:\n  Mass: 268.97 kg\n  Factor of Safety: 0.30\n  Max Deflection: 2.80e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 268.97392823323025,
      "fos_buckling": 0.30003240149806454,
      "fos_yielding": 3.237917748286716,
      "deflection": 27950854816399.344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007712)"
      },
      "parent_node_id": "node_2835",
      "improvement_over_parent": null
    },
    "node_2837": {
      "node_id": "node_2837",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n\nPerformance:\n  Mass: 303.80 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.31e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 303.7980989394759,
      "fos_buckling": 0.4511221928604173,
      "fos_yielding": 3.6178929537148625,
      "deflection": 13114992979583.531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006187)"
      },
      "parent_node_id": "node_2836",
      "improvement_over_parent": null
    },
    "node_2838": {
      "node_id": "node_2838",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 346.62 kg\n  Factor of Safety: 0.44\n  Max Deflection: 2.44e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 346.61527776472724,
      "fos_buckling": 0.4431219666543996,
      "fos_yielding": 3.6178929537148625,
      "deflection": 24383763202678.945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2837",
      "improvement_over_parent": null
    },
    "node_2839": {
      "node_id": "node_2839",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 386.36 kg\n  Factor of Safety: 0.51\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 386.35567253975415,
      "fos_buckling": 0.5123170907075019,
      "fos_yielding": 5.94818728606344,
      "deflection": 0.013154049282895647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007129)"
      },
      "parent_node_id": "node_2838",
      "improvement_over_parent": null
    },
    "node_2840": {
      "node_id": "node_2840",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.70 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.6981883418773,
      "fos_buckling": 0.592993318640316,
      "fos_yielding": 7.072493080433201,
      "deflection": 0.01103414436666367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2839",
      "improvement_over_parent": null
    },
    "node_2841": {
      "node_id": "node_2841",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.09 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0934207752388,
      "fos_buckling": 1.5371756075192036,
      "fos_yielding": 14.264243138314335,
      "deflection": 0.005956000026112791,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2840",
      "improvement_over_parent": null
    },
    "node_2842": {
      "node_id": "node_2842",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2841",
      "improvement_over_parent": null
    },
    "node_2843": {
      "node_id": "node_2843",
      "content": "INITIAL DESIGN (Trace 419)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_2844": {
      "node_id": "node_2844",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 415.28 kg\n  Factor of Safety: 0.59\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": 415.27861518453267,
      "fos_buckling": 0.5948403814143591,
      "fos_yielding": 7.096353631257711,
      "deflection": 0.012206364929289514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2843",
      "improvement_over_parent": null
    },
    "node_2845": {
      "node_id": "node_2845",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 462.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8813796450356,
      "fos_buckling": 0.593054528240562,
      "fos_yielding": 7.075369929738381,
      "deflection": 0.01103029418543408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2844",
      "improvement_over_parent": null
    },
    "node_2846": {
      "node_id": "node_2846",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2766120783971,
      "fos_buckling": 1.5376652864382838,
      "fos_yielding": 14.26978441112261,
      "deflection": 0.0059540696012867515,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2845",
      "improvement_over_parent": null
    },
    "node_2847": {
      "node_id": "node_2847",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2846",
      "improvement_over_parent": null
    },
    "node_2848": {
      "node_id": "node_2848",
      "content": "INITIAL DESIGN (Trace 420)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 308.48 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.23e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 308.4821094395102,
      "fos_buckling": 0.5712720845700008,
      "fos_yielding": 6.978469333423126,
      "deflection": 0.012291631904241995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2849": {
      "node_id": "node_2849",
      "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0025)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 324.40 kg\n  Factor of Safety: 0.57\n  Max Deflection: 1.20e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 324.40360139256757,
      "fos_buckling": 0.5706933392359307,
      "fos_yielding": 6.971399573365255,
      "deflection": 0.011999154702590088,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.603)"
      },
      "parent_node_id": "node_2848",
      "improvement_over_parent": null
    },
    "node_2850": {
      "node_id": "node_2850",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 394.76 kg\n  Factor of Safety: 0.68\n  Max Deflection: 9.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.7560538810133,
      "fos_buckling": 0.6802975998697823,
      "fos_yielding": 8.47190590938778,
      "deflection": 0.009893003173582524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_2849",
      "improvement_over_parent": null
    },
    "node_2851": {
      "node_id": "node_2851",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 474.17 kg\n  Factor of Safety: 0.80\n  Max Deflection: 8.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 474.1689586649537,
      "fos_buckling": 0.7980454189924491,
      "fos_yielding": 10.1630402863656,
      "deflection": 0.008266008784416322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_2850",
      "improvement_over_parent": null
    },
    "node_2852": {
      "node_id": "node_2852",
      "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 478.98 kg\n  Factor of Safety: 0.80\n  Max Deflection: 8.22e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 478.9789076941853,
      "fos_buckling": 0.7975617252804714,
      "fos_yielding": 10.156880488233687,
      "deflection": 0.00821747178821279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.647)"
      },
      "parent_node_id": "node_2851",
      "improvement_over_parent": null
    },
    "node_2853": {
      "node_id": "node_2853",
      "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.38 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.38050753049623,
      "fos_buckling": 0.9964908891220019,
      "fos_yielding": 12.47179381132412,
      "deflection": 0.007467406059458788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.333)"
      },
      "parent_node_id": "node_2852",
      "improvement_over_parent": null
    },
    "node_2854": {
      "node_id": "node_2854",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9832719909992,
      "fos_buckling": 1.5369938822387623,
      "fos_yielding": 14.256348816641514,
      "deflection": 0.005957496875474873,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2853",
      "improvement_over_parent": null
    },
    "node_2855": {
      "node_id": "node_2855",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2854",
      "improvement_over_parent": null
    },
    "node_2856": {
      "node_id": "node_2856",
      "content": "INITIAL DESIGN (Trace 421)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 262.95 kg\n  Factor of Safety: 0.60\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": 262.95337357454406,
      "fos_buckling": 0.5993721962038929,
      "fos_yielding": 6.9368978860350134,
      "deflection": 0.013463356712352003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2857": {
      "node_id": "node_2857",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0052)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0046)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0028)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n\nPerformance:\n  Mass: 264.04 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.34e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.0430599477139,
      "fos_buckling": 0.5992887814355176,
      "fos_yielding": 6.935932476337876,
      "deflection": 0.01343329125723205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.190)"
      },
      "parent_node_id": "node_2856",
      "improvement_over_parent": null
    },
    "node_2858": {
      "node_id": "node_2858",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n\nPerformance:\n  Mass: 335.85 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 335.85154520646284,
      "fos_buckling": 0.739992009695616,
      "fos_yielding": 8.782463840253312,
      "deflection": 0.010608639139803701,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2857",
      "improvement_over_parent": null
    },
    "node_2859": {
      "node_id": "node_2859",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 394.82 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.81716786163173,
      "fos_buckling": 0.8485833032515908,
      "fos_yielding": 10.286349907528285,
      "deflection": 0.009057442732084522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2858",
      "improvement_over_parent": null
    },
    "node_2860": {
      "node_id": "node_2860",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n\nPerformance:\n  Mass: 447.36 kg\n  Factor of Safety: 1.31\n  Max Deflection: 7.23e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.35768679845506,
      "fos_buckling": 1.3080491749294387,
      "fos_yielding": 11.652947309806382,
      "deflection": 0.007227747663639892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007636)"
      },
      "parent_node_id": "node_2859",
      "improvement_over_parent": null
    },
    "node_2861": {
      "node_id": "node_2861",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 545.95 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9544057981175,
      "fos_buckling": 1.5368784337915171,
      "fos_yielding": 14.251561150072732,
      "deflection": 0.005957717667013046,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2860",
      "improvement_over_parent": null
    },
    "node_2862": {
      "node_id": "node_2862",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2861",
      "improvement_over_parent": null
    },
    "node_2863": {
      "node_id": "node_2863",
      "content": "INITIAL DESIGN (Trace 422)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n\nPerformance:\n  Mass: 281.20 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.21e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 281.201916764345,
      "fos_buckling": 0.295572094604315,
      "fos_yielding": 3.6182876561658355,
      "deflection": 0.05214018241526541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2864": {
      "node_id": "node_2864",
      "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 340.52 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 340.51708032641795,
      "fos_buckling": 0.6079386490014123,
      "fos_yielding": 7.442167070381587,
      "deflection": 0.013760633685957414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007484)"
      },
      "parent_node_id": "node_2863",
      "improvement_over_parent": null
    },
    "node_2865": {
      "node_id": "node_2865",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 410.97 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.9747047755744,
      "fos_buckling": 0.7198631775258234,
      "fos_yielding": 8.979716887217188,
      "deflection": 0.011428375429873402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_2864",
      "improvement_over_parent": null
    },
    "node_2866": {
      "node_id": "node_2866",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 428.58 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 428.5780626432544,
      "fos_buckling": 0.8912327513618257,
      "fos_yielding": 10.88001184297275,
      "deflection": 0.010531751014486036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.353)"
      },
      "parent_node_id": "node_2865",
      "improvement_over_parent": null
    },
    "node_2867": {
      "node_id": "node_2867",
      "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 446.45 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 446.4464795119343,
      "fos_buckling": 0.8913913921402817,
      "fos_yielding": 10.878730381543189,
      "deflection": 0.010531750293989957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.520)"
      },
      "parent_node_id": "node_2866",
      "improvement_over_parent": null
    },
    "node_2868": {
      "node_id": "node_2868",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 520.58 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 520.5797751443039,
      "fos_buckling": 1.0106780241183781,
      "fos_yielding": 12.650451945788705,
      "deflection": 0.009056247347481788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2867",
      "improvement_over_parent": null
    },
    "node_2869": {
      "node_id": "node_2869",
      "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 532.97 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.9716107661774,
      "fos_buckling": 1.0109052289392155,
      "fos_yielding": 12.65592760997172,
      "deflection": 0.009056247718142398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.263)"
      },
      "parent_node_id": "node_2868",
      "improvement_over_parent": null
    },
    "node_2870": {
      "node_id": "node_2870",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 545.94 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9411302757322,
      "fos_buckling": 1.5366189577144354,
      "fos_yielding": 14.267826187827353,
      "deflection": 0.005957586012416567,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2869",
      "improvement_over_parent": null
    },
    "node_2871": {
      "node_id": "node_2871",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2870",
      "improvement_over_parent": null
    },
    "node_2872": {
      "node_id": "node_2872",
      "content": "INITIAL DESIGN (Trace 423)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\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_2873": {
      "node_id": "node_2873",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n\nPerformance:\n  Mass: 377.92 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.45e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 377.9236648154042,
      "fos_buckling": 0.8180951153476496,
      "fos_yielding": 9.85644642867248,
      "deflection": 0.009452467333428138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006661)"
      },
      "parent_node_id": "node_2872",
      "improvement_over_parent": null
    },
    "node_2874": {
      "node_id": "node_2874",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 481.90 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.9011936709323,
      "fos_buckling": 0.9976393656263629,
      "fos_yielding": 12.486990446521206,
      "deflection": 0.007460911682382966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_2873",
      "improvement_over_parent": null
    },
    "node_2875": {
      "node_id": "node_2875",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.03 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0338465635529,
      "fos_buckling": 1.5370834460484804,
      "fos_yielding": 14.261810370253905,
      "deflection": 0.005956761252049131,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 424)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n\nPerformance:\n  Mass: 397.54 kg\n  Factor of Safety: 1.07\n  Max Deflection: 8.17e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 397.5373620506868,
      "fos_buckling": 1.067800874639728,
      "fos_yielding": 10.265004448870874,
      "deflection": 0.008174763618761982,
      "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: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 444.07 kg\n  Factor of Safety: 1.18\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.06692065378974,
      "fos_buckling": 1.1759378382350951,
      "fos_yielding": 11.47871601301111,
      "deflection": 0.007338113002118271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_2877",
      "improvement_over_parent": null
    },
    "node_2879": {
      "node_id": "node_2879",
      "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 456.18 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 456.18456499438525,
      "fos_buckling": 1.3293947851783474,
      "fos_yielding": 11.89362548616685,
      "deflection": 0.007091266555899765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.227)"
      },
      "parent_node_id": "node_2878",
      "improvement_over_parent": null
    },
    "node_2880": {
      "node_id": "node_2880",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.32 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3200811152159,
      "fos_buckling": 1.537700003971178,
      "fos_yielding": 14.271214108899013,
      "deflection": 0.005953527590836906,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2879",
      "improvement_over_parent": null
    },
    "node_2881": {
      "node_id": "node_2881",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2880",
      "improvement_over_parent": null
    },
    "node_2882": {
      "node_id": "node_2882",
      "content": "INITIAL DESIGN (Trace 425)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 376.39 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.68e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.3857092674531,
      "fos_buckling": 1.1523308994477868,
      "fos_yielding": 9.629339879484698,
      "deflection": 0.008684352679278485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2883": {
      "node_id": "node_2883",
      "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 386.71 kg\n  Factor of Safety: 1.16\n  Max Deflection: 8.33e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 386.71341658008276,
      "fos_buckling": 1.1568476998395545,
      "fos_yielding": 10.067410577949717,
      "deflection": 0.008330087061496282,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.328)"
      },
      "parent_node_id": "node_2882",
      "improvement_over_parent": null
    },
    "node_2884": {
      "node_id": "node_2884",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0067)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 430.67 kg\n  Factor of Safety: 1.27\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": 430.6709209181796,
      "fos_buckling": 1.2672115621422695,
      "fos_yielding": 11.22233187341914,
      "deflection": 0.007499791543365302,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_2883",
      "improvement_over_parent": null
    },
    "node_2885": {
      "node_id": "node_2885",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.02 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0167902084154,
      "fos_buckling": 1.5369688997267386,
      "fos_yielding": 14.263254923329969,
      "deflection": 0.005956724066200967,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_2884",
      "improvement_over_parent": null
    },
    "node_2886": {
      "node_id": "node_2886",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2885",
      "improvement_over_parent": null
    },
    "node_2887": {
      "node_id": "node_2887",
      "content": "INITIAL DESIGN (Trace 426)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0030)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 242.88 kg\n  Factor of Safety: 0.24\n  Max Deflection: 2.80e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.87719713811515,
      "fos_buckling": 0.24204674035024087,
      "fos_yielding": 3.3867139734209752,
      "deflection": 0.027992642494306687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2888": {
      "node_id": "node_2888",
      "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0030)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 243.89 kg\n  Factor of Safety: 0.24\n  Max Deflection: 2.77e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.89011104816348,
      "fos_buckling": 0.24204674035024082,
      "fos_yielding": 3.386713973420978,
      "deflection": 0.027732402990087664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.193)"
      },
      "parent_node_id": "node_2887",
      "improvement_over_parent": null
    },
    "node_2889": {
      "node_id": "node_2889",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 316.35 kg\n  Factor of Safety: 0.31\n  Max Deflection: 2.14e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 316.3459997331888,
      "fos_buckling": 0.30963143723688463,
      "fos_yielding": 4.384912795638633,
      "deflection": 0.021433182452483185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_2888",
      "improvement_over_parent": null
    },
    "node_2890": {
      "node_id": "node_2890",
      "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 323.63 kg\n  Factor of Safety: 0.40\n  Max Deflection: 2.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 323.63363973071574,
      "fos_buckling": 0.3994695440323209,
      "fos_yielding": 4.3828488201703495,
      "deflection": 0.020052838909904454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.342)"
      },
      "parent_node_id": "node_2889",
      "improvement_over_parent": null
    },
    "node_2891": {
      "node_id": "node_2891",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 365.88 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.78e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 365.8752302590804,
      "fos_buckling": 0.44552664708057255,
      "fos_yielding": 4.9497053768783665,
      "deflection": 0.017774193106783184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2890",
      "improvement_over_parent": null
    },
    "node_2892": {
      "node_id": "node_2892",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 449.27 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.27046269244187,
      "fos_buckling": 0.5938890894424882,
      "fos_yielding": 7.086016674272563,
      "deflection": 0.011114571497363208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2891",
      "improvement_over_parent": null
    },
    "node_2893": {
      "node_id": "node_2893",
      "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 463.15 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.15298235948507,
      "fos_buckling": 0.5933691180350726,
      "fos_yielding": 7.079906219029941,
      "deflection": 0.011023812665172017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.451)"
      },
      "parent_node_id": "node_2892",
      "improvement_over_parent": null
    },
    "node_2894": {
      "node_id": "node_2894",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5482147928465,
      "fos_buckling": 1.5378327628657895,
      "fos_yielding": 14.275231162538418,
      "deflection": 0.0059514773547288975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_2893",
      "improvement_over_parent": null
    },
    "node_2895": {
      "node_id": "node_2895",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2894",
      "improvement_over_parent": null
    },
    "node_2896": {
      "node_id": "node_2896",
      "content": "INITIAL DESIGN (Trace 427)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 342.68 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.63e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 342.6811666661441,
      "fos_buckling": 0.796515460567339,
      "fos_yielding": 8.987047760794745,
      "deflection": 0.009630339371270263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2897": {
      "node_id": "node_2897",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0044)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 349.16 kg\n  Factor of Safety: 0.82\n  Max Deflection: 9.49e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 349.1613328954604,
      "fos_buckling": 0.819502843720897,
      "fos_yielding": 8.802144456909497,
      "deflection": 0.009490748652801409,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.186)"
      },
      "parent_node_id": "node_2896",
      "improvement_over_parent": null
    },
    "node_2898": {
      "node_id": "node_2898",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 370.22 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.22361059631885,
      "fos_buckling": 1.1144312858710796,
      "fos_yielding": 9.635892763185632,
      "deflection": 0.008692159203776953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.629)"
      },
      "parent_node_id": "node_2897",
      "improvement_over_parent": null
    },
    "node_2899": {
      "node_id": "node_2899",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0064)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0080)]\n\nPerformance:\n  Mass: 413.48 kg\n  Factor of Safety: 1.22\n  Max Deflection: 7.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 413.4848602052399,
      "fos_buckling": 1.2246423739359287,
      "fos_yielding": 10.771825123137038,
      "deflection": 0.007803170628604978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_2898",
      "improvement_over_parent": null
    },
    "node_2900": {
      "node_id": "node_2900",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n\nPerformance:\n  Mass: 461.35 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.35245462206507,
      "fos_buckling": 1.341844195745656,
      "fos_yielding": 12.031161480443668,
      "deflection": 0.007013820027529441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_2899",
      "improvement_over_parent": null
    },
    "node_2901": {
      "node_id": "node_2901",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2023907618349,
      "fos_buckling": 1.5374775676603891,
      "fos_yielding": 14.269812446895758,
      "deflection": 0.005954600982550525,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2900",
      "improvement_over_parent": null
    },
    "node_2902": {
      "node_id": "node_2902",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2901",
      "improvement_over_parent": null
    },
    "node_2903": {
      "node_id": "node_2903",
      "content": "INITIAL DESIGN (Trace 428)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 322.24 kg\n  Factor of Safety: 0.71\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": 322.24417361976015,
      "fos_buckling": 0.7140338626088366,
      "fos_yielding": 8.43367000630523,
      "deflection": 0.011047335201706927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2904": {
      "node_id": "node_2904",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 365.11 kg\n  Factor of Safety: 1.10\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": 365.1061446908924,
      "fos_buckling": 1.1011668239640278,
      "fos_yielding": 9.500472522461955,
      "deflection": 0.008811604909081384,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006143)"
      },
      "parent_node_id": "node_2903",
      "improvement_over_parent": null
    },
    "node_2905": {
      "node_id": "node_2905",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n\nPerformance:\n  Mass: 420.67 kg\n  Factor of Safety: 1.24\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": 420.6701415911889,
      "fos_buckling": 1.2425991352774064,
      "fos_yielding": 10.959340715984995,
      "deflection": 0.0076735266474843855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2904",
      "improvement_over_parent": null
    },
    "node_2906": {
      "node_id": "node_2906",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.379096878034,
      "fos_buckling": 1.5379209048305555,
      "fos_yielding": 14.27276202252689,
      "deflection": 0.0059529662270635655,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_2905",
      "improvement_over_parent": null
    },
    "node_2907": {
      "node_id": "node_2907",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2906",
      "improvement_over_parent": null
    },
    "node_2908": {
      "node_id": "node_2908",
      "content": "INITIAL DESIGN (Trace 429)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n\nPerformance:\n  Mass: 472.55 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 472.5540773117081,
      "fos_buckling": 1.2612396051049188,
      "fos_yielding": 12.611981645299933,
      "deflection": 0.006875018760936858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2909": {
      "node_id": "node_2909",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 526.07 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.20e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 526.072598594476,
      "fos_buckling": 1.3802162937245974,
      "fos_yielding": 14.054987267290908,
      "deflection": 0.0061950544301827525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2908",
      "improvement_over_parent": null
    },
    "node_2910": {
      "node_id": "node_2910",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 539.85 kg\n  Factor of Safety: 1.51\n  Max Deflection: 6.00e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 539.8464199976157,
      "fos_buckling": 1.5097166524540697,
      "fos_yielding": 14.543634227901716,
      "deflection": 0.006001680556118277,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.217)"
      },
      "parent_node_id": "node_2909",
      "improvement_over_parent": null
    },
    "node_2911": {
      "node_id": "node_2911",
      "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.71 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.714928159306,
      "fos_buckling": 1.538626825827323,
      "fos_yielding": 14.280195645499445,
      "deflection": 0.005949471522542418,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.185)"
      },
      "parent_node_id": "node_2910",
      "improvement_over_parent": null
    },
    "node_2912": {
      "node_id": "node_2912",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2911",
      "improvement_over_parent": null
    },
    "node_2913": {
      "node_id": "node_2913",
      "content": "INITIAL DESIGN (Trace 430)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 313.86 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 313.864605722534,
      "fos_buckling": 0.7529703788278698,
      "fos_yielding": 8.955471700333348,
      "deflection": 0.012696909291685838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2914": {
      "node_id": "node_2914",
      "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 320.82 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.82106427646085,
      "fos_buckling": 0.7526369211001901,
      "fos_yielding": 8.951505712656465,
      "deflection": 0.012702579179684542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.276)"
      },
      "parent_node_id": "node_2913",
      "improvement_over_parent": null
    },
    "node_2915": {
      "node_id": "node_2915",
      "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 330.82 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 330.8173898710831,
      "fos_buckling": 0.7521582642071322,
      "fos_yielding": 8.945812795138746,
      "deflection": 0.012702579179684547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.300)"
      },
      "parent_node_id": "node_2914",
      "improvement_over_parent": null
    },
    "node_2916": {
      "node_id": "node_2916",
      "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 332.65 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 332.64799504881796,
      "fos_buckling": 0.7521582642071322,
      "fos_yielding": 8.945812795138746,
      "deflection": 0.012702579179684547,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.389)"
      },
      "parent_node_id": "node_2915",
      "improvement_over_parent": null
    },
    "node_2917": {
      "node_id": "node_2917",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 378.12 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.118284798047,
      "fos_buckling": 0.7585850039646422,
      "fos_yielding": 9.022249382343384,
      "deflection": 0.012702579179684549,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006541)"
      },
      "parent_node_id": "node_2916",
      "improvement_over_parent": null
    },
    "node_2918": {
      "node_id": "node_2918",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 424.24 kg\n  Factor of Safety: 0.84\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 424.2363612706571,
      "fos_buckling": 0.8372802524612594,
      "fos_yielding": 10.107973312880171,
      "deflection": 0.01133815912392451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2917",
      "improvement_over_parent": null
    },
    "node_2919": {
      "node_id": "node_2919",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 533.21 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.2106418709448,
      "fos_buckling": 1.011487643491392,
      "fos_yielding": 12.660993134417161,
      "deflection": 0.009051876661195533,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_2918",
      "improvement_over_parent": null
    },
    "node_2920": {
      "node_id": "node_2920",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1801613804996,
      "fos_buckling": 1.5373494045356086,
      "fos_yielding": 14.269119796407349,
      "deflection": 0.005955026182543082,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2919",
      "improvement_over_parent": null
    },
    "node_2921": {
      "node_id": "node_2921",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2920",
      "improvement_over_parent": null
    },
    "node_2922": {
      "node_id": "node_2922",
      "content": "INITIAL DESIGN (Trace 431)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 380.19 kg\n  Factor of Safety: 0.52\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": 380.18629609200525,
      "fos_buckling": 0.5216173360658785,
      "fos_yielding": 6.074781078844962,
      "deflection": 0.013000226785839791,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2923": {
      "node_id": "node_2923",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 451.27 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.26963587617615,
      "fos_buckling": 1.292333000079992,
      "fos_yielding": 12.655933231328964,
      "deflection": 0.007100187558545594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009088)"
      },
      "parent_node_id": "node_2922",
      "improvement_over_parent": null
    },
    "node_2924": {
      "node_id": "node_2924",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 529.53 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 529.5304918727327,
      "fos_buckling": 1.4706475660006446,
      "fos_yielding": 14.861609563957469,
      "deflection": 0.006079857487234175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2923",
      "improvement_over_parent": null
    },
    "node_2925": {
      "node_id": "node_2925",
      "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0150)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 557.45 kg\n  Factor of Safety: 1.55\n  Max Deflection: 5.79e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 557.4499689688697,
      "fos_buckling": 1.5450635638469392,
      "fos_yielding": 15.588843689736574,
      "deflection": 0.005787455174718018,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.383)"
      },
      "parent_node_id": "node_2924",
      "improvement_over_parent": null
    },
    "node_2926": {
      "node_id": "node_2926",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2925",
      "improvement_over_parent": null
    },
    "node_2927": {
      "node_id": "node_2927",
      "content": "INITIAL DESIGN (Trace 432)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0020)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0034)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 257.80 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.8040874514826,
      "fos_buckling": 0.3795923661788078,
      "fos_yielding": 4.497966754522921,
      "deflection": 0.01577839540301843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2928": {
      "node_id": "node_2928",
      "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0055)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0048)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0020)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0060)]\n\nPerformance:\n  Mass: 268.77 kg\n  Factor of Safety: 0.52\n  Max Deflection: 1.37e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 268.7667011297829,
      "fos_buckling": 0.5170324928381638,
      "fos_yielding": 6.259034637033108,
      "deflection": 0.013712240590102778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.408)"
      },
      "parent_node_id": "node_2927",
      "improvement_over_parent": null
    },
    "node_2929": {
      "node_id": "node_2929",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 315.21 kg\n  Factor of Safety: 0.60\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": 315.2118901066721,
      "fos_buckling": 0.5974524519410987,
      "fos_yielding": 7.33081189763934,
      "deflection": 0.011721109539042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_2928",
      "improvement_over_parent": null
    },
    "node_2930": {
      "node_id": "node_2930",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 387.04 kg\n  Factor of Safety: 0.72\n  Max Deflection: 9.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.0377341731407,
      "fos_buckling": 0.7167151127234527,
      "fos_yielding": 8.983763053472568,
      "deflection": 0.009582538405942736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_2929",
      "improvement_over_parent": null
    },
    "node_2931": {
      "node_id": "node_2931",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 463.08 kg\n  Factor of Safety: 0.84\n  Max Deflection: 8.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.0812007191323,
      "fos_buckling": 0.8362696077858185,
      "fos_yielding": 10.728743561243204,
      "deflection": 0.00804100259442332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2930",
      "improvement_over_parent": null
    },
    "node_2932": {
      "node_id": "node_2932",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 466.05 kg\n  Factor of Safety: 0.84\n  Max Deflection: 8.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.04677285034404,
      "fos_buckling": 0.8362696077858185,
      "fos_yielding": 10.728743561243204,
      "deflection": 0.00804100259442332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.488)"
      },
      "parent_node_id": "node_2931",
      "improvement_over_parent": null
    },
    "node_2933": {
      "node_id": "node_2933",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 530.18 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.19e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.1794257429647,
      "fos_buckling": 1.3505298129066108,
      "fos_yielding": 13.709768045549563,
      "deflection": 0.006186193801940476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_2932",
      "improvement_over_parent": null
    },
    "node_2934": {
      "node_id": "node_2934",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.04 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0384758794357,
      "fos_buckling": 1.5370770029493248,
      "fos_yielding": 14.262242420102494,
      "deflection": 0.005956731556573821,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.258)"
      },
      "parent_node_id": "node_2933",
      "improvement_over_parent": null
    },
    "node_2935": {
      "node_id": "node_2935",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2934",
      "improvement_over_parent": null
    },
    "node_2936": {
      "node_id": "node_2936",
      "content": "INITIAL DESIGN (Trace 433)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0057)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 293.64 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 293.640769028597,
      "fos_buckling": 0.6087747632279962,
      "fos_yielding": 7.471278798061361,
      "deflection": 0.014140122441629505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2937": {
      "node_id": "node_2937",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 365.06 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 365.06370564848817,
      "fos_buckling": 0.7407877740400035,
      "fos_yielding": 9.300842524840226,
      "deflection": 0.011402264964933453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2936",
      "improvement_over_parent": null
    },
    "node_2938": {
      "node_id": "node_2938",
      "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0054)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 378.02 kg\n  Factor of Safety: 0.87\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 378.0219627100391,
      "fos_buckling": 0.8682861766940967,
      "fos_yielding": 10.563090815662381,
      "deflection": 0.010751975062755917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.245)"
      },
      "parent_node_id": "node_2937",
      "improvement_over_parent": null
    },
    "node_2939": {
      "node_id": "node_2939",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 450.19 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 450.1949667498227,
      "fos_buckling": 1.0002097938340733,
      "fos_yielding": 12.518491285268874,
      "deflection": 0.009057113623636643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2938",
      "improvement_over_parent": null
    },
    "node_2940": {
      "node_id": "node_2940",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 468.81 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 468.8103446733668,
      "fos_buckling": 0.9990349813696106,
      "fos_yielding": 12.50378749043616,
      "deflection": 0.009057113633099046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.449)"
      },
      "parent_node_id": "node_2939",
      "improvement_over_parent": null
    },
    "node_2941": {
      "node_id": "node_2941",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 481.78 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 481.77986418292164,
      "fos_buckling": 0.997402568724984,
      "fos_yielding": 12.483356433280266,
      "deflection": 0.007462925568439417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2940",
      "improvement_over_parent": null
    },
    "node_2942": {
      "node_id": "node_2942",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 536.03 kg\n  Factor of Safety: 1.50\n  Max Deflection: 6.03e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 536.03349731178,
      "fos_buckling": 1.5000826956310853,
      "fos_yielding": 14.582947122826171,
      "deflection": 0.006025278749613757,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007905)"
      },
      "parent_node_id": "node_2941",
      "improvement_over_parent": null
    },
    "node_2943": {
      "node_id": "node_2943",
      "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0075)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 538.34 kg\n  Factor of Safety: 1.51\n  Max Deflection: 5.98e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 538.344421682215,
      "fos_buckling": 1.5121072067446721,
      "fos_yielding": 16.896783969571242,
      "deflection": 0.005975427745684661,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.200)"
      },
      "parent_node_id": "node_2942",
      "improvement_over_parent": null
    },
    "node_2944": {
      "node_id": "node_2944",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2943",
      "improvement_over_parent": null
    },
    "node_2945": {
      "node_id": "node_2945",
      "content": "INITIAL DESIGN (Trace 434)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 359.75 kg\n  Factor of Safety: 0.86\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": 359.75281004859175,
      "fos_buckling": 0.8584643951144486,
      "fos_yielding": 10.422494145872099,
      "deflection": 0.011033074649671197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2946": {
      "node_id": "node_2946",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n\nPerformance:\n  Mass: 399.16 kg\n  Factor of Safety: 0.86\n  Max Deflection: 8.96e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 399.1624230312482,
      "fos_buckling": 0.8563222122497298,
      "fos_yielding": 10.396486208333881,
      "deflection": 0.00896137508356992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007065)"
      },
      "parent_node_id": "node_2945",
      "improvement_over_parent": null
    },
    "node_2947": {
      "node_id": "node_2947",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.39 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.39421221337795,
      "fos_buckling": 0.9984405674350533,
      "fos_yielding": 12.499310326197834,
      "deflection": 0.007453538748107089,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_2946",
      "improvement_over_parent": null
    },
    "node_2948": {
      "node_id": "node_2948",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 529.87 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 529.8689109791808,
      "fos_buckling": 1.4712072891648054,
      "fos_yielding": 14.876327039552704,
      "deflection": 0.006075985743437674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006849)"
      },
      "parent_node_id": "node_2947",
      "improvement_over_parent": null
    },
    "node_2949": {
      "node_id": "node_2949",
      "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0120)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n\nPerformance:\n  Mass: 545.90 kg\n  Factor of Safety: 1.47\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.8951140233296,
      "fos_buckling": 1.4672607005222136,
      "fos_yielding": 14.421870337445934,
      "deflection": 0.005991433964765342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.385)"
      },
      "parent_node_id": "node_2948",
      "improvement_over_parent": null
    },
    "node_2950": {
      "node_id": "node_2950",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2949",
      "improvement_over_parent": null
    },
    "node_2951": {
      "node_id": "node_2951",
      "content": "INITIAL DESIGN (Trace 435)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 288.76 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.75e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 288.75809584881614,
      "fos_buckling": 0.4237698409564531,
      "fos_yielding": 4.076626872237348,
      "deflection": 0.01747945565914856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2952": {
      "node_id": "node_2952",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 344.36 kg\n  Factor of Safety: 0.94\n  Max Deflection: 9.59e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.3592301667699,
      "fos_buckling": 0.9416062065990264,
      "fos_yielding": 7.671301813203169,
      "deflection": 0.009592607412949773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006987)"
      },
      "parent_node_id": "node_2951",
      "improvement_over_parent": null
    },
    "node_2953": {
      "node_id": "node_2953",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0045)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 345.93 kg\n  Factor of Safety: 0.92\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 345.93347217760027,
      "fos_buckling": 0.9221280497484019,
      "fos_yielding": 9.162395664866743,
      "deflection": 0.009472146971035324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.236)"
      },
      "parent_node_id": "node_2952",
      "improvement_over_parent": null
    },
    "node_2954": {
      "node_id": "node_2954",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 352.09 kg\n  Factor of Safety: 1.07\n  Max Deflection: 9.33e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 352.09177009079815,
      "fos_buckling": 1.0660091888462881,
      "fos_yielding": 8.936302410671658,
      "deflection": 0.009331409853418274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.255)"
      },
      "parent_node_id": "node_2953",
      "improvement_over_parent": null
    },
    "node_2955": {
      "node_id": "node_2955",
      "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n\nPerformance:\n  Mass: 364.17 kg\n  Factor of Safety: 1.10\n  Max Deflection: 8.83e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 364.17451790245906,
      "fos_buckling": 1.098759706282652,
      "fos_yielding": 9.47136299051105,
      "deflection": 0.008834070035592724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.439)"
      },
      "parent_node_id": "node_2954",
      "improvement_over_parent": null
    },
    "node_2956": {
      "node_id": "node_2956",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 436.73 kg\n  Factor of Safety: 1.28\n  Max Deflection: 7.40e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 436.7261355728853,
      "fos_buckling": 1.2822383041097318,
      "fos_yielding": 11.37599066975291,
      "deflection": 0.007398942827338051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_2955",
      "improvement_over_parent": null
    },
    "node_2957": {
      "node_id": "node_2957",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5106170257541,
      "fos_buckling": 1.5382346528177724,
      "fos_yielding": 14.269395639399077,
      "deflection": 0.005951853557096998,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 436)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 517.01 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.0123493531942,
      "fos_buckling": 1.0115287042811383,
      "fos_yielding": 12.661985128453683,
      "deflection": 0.009049990917709668,
      "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 34%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 519.27 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 519.2659810893728,
      "fos_buckling": 1.011153606402179,
      "fos_yielding": 12.65728977601831,
      "deflection": 0.009049990917709668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.335)"
      },
      "parent_node_id": "node_2959",
      "improvement_over_parent": null
    },
    "node_2961": {
      "node_id": "node_2961",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 532.24 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.2355005989276,
      "fos_buckling": 1.4828591720974147,
      "fos_yielding": 14.751524790502163,
      "deflection": 0.006055286034404805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2960",
      "improvement_over_parent": null
    },
    "node_2962": {
      "node_id": "node_2962",
      "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0124)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 549.59 kg\n  Factor of Safety: 1.48\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 549.5851509807987,
      "fos_buckling": 1.478908760493522,
      "fos_yielding": 14.33881529283818,
      "deflection": 0.005968874694975304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.307)"
      },
      "parent_node_id": "node_2961",
      "improvement_over_parent": null
    },
    "node_2963": {
      "node_id": "node_2963",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2962",
      "improvement_over_parent": null
    },
    "node_2964": {
      "node_id": "node_2964",
      "content": "INITIAL DESIGN (Trace 437)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n\nPerformance:\n  Mass: 248.50 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.49956037143872,
      "fos_buckling": 0.5283371994317572,
      "fos_yielding": 6.039243620730562,
      "deflection": 0.018974101389471035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2965": {
      "node_id": "node_2965",
      "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n\nPerformance:\n  Mass: 252.07 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.90e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.0661613828416,
      "fos_buckling": 0.5282935164792086,
      "fos_yielding": 6.038744295691937,
      "deflection": 0.018978461923160286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.196)"
      },
      "parent_node_id": "node_2964",
      "improvement_over_parent": null
    },
    "node_2966": {
      "node_id": "node_2966",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n\nPerformance:\n  Mass: 258.19 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.24e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.19499754376653,
      "fos_buckling": 0.8099032540054003,
      "fos_yielding": 6.702234218010126,
      "deflection": 0.012379442270816141,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.002825)"
      },
      "parent_node_id": "node_2965",
      "improvement_over_parent": null
    },
    "node_2967": {
      "node_id": "node_2967",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n\nPerformance:\n  Mass: 306.93 kg\n  Factor of Safety: 0.95\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 306.93065682037,
      "fos_buckling": 0.9458161224366647,
      "fos_yielding": 7.975624546347209,
      "deflection": 0.010444797549665735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_2966",
      "improvement_over_parent": null
    },
    "node_2968": {
      "node_id": "node_2968",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n\nPerformance:\n  Mass: 381.72 kg\n  Factor of Safety: 1.14\n  Max Deflection: 8.44e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 381.7163521587581,
      "fos_buckling": 1.1441451426428386,
      "fos_yielding": 9.934837136187749,
      "deflection": 0.008436722346853569,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2967",
      "improvement_over_parent": null
    },
    "node_2969": {
      "node_id": "node_2969",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n\nPerformance:\n  Mass: 491.10 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.60e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 491.09653018324514,
      "fos_buckling": 1.4122190284351728,
      "fos_yielding": 12.811684555076793,
      "deflection": 0.006601141706233251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_2968",
      "improvement_over_parent": null
    },
    "node_2970": {
      "node_id": "node_2970",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.95 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.9506766985257,
      "fos_buckling": 1.5391755470964088,
      "fos_yielding": 14.285947033549201,
      "deflection": 0.005946983390033802,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_2969",
      "improvement_over_parent": null
    },
    "node_2971": {
      "node_id": "node_2971",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2970",
      "improvement_over_parent": null
    },
    "node_2972": {
      "node_id": "node_2972",
      "content": "INITIAL DESIGN (Trace 438)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.87 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.8717694450979,
      "fos_buckling": 0.9986273960877067,
      "fos_yielding": 12.500490776596486,
      "deflection": 0.009022484470338456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2973": {
      "node_id": "node_2973",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 530.47 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.4745339056009,
      "fos_buckling": 1.0111260826777486,
      "fos_yielding": 12.656945243047627,
      "deflection": 0.009049992278978168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_2972",
      "improvement_over_parent": null
    },
    "node_2974": {
      "node_id": "node_2974",
      "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0079)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 534.30 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 534.3035565449613,
      "fos_buckling": 1.0107494273994624,
      "fos_yielding": 12.6522303955974,
      "deflection": 0.009049992278978168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.458)"
      },
      "parent_node_id": "node_2973",
      "improvement_over_parent": null
    },
    "node_2975": {
      "node_id": "node_2975",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0079)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 547.27 kg\n  Factor of Safety: 1.32\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 547.2730760545162,
      "fos_buckling": 1.3184329811883604,
      "fos_yielding": 14.165345452551074,
      "deflection": 0.005968310163853485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_2974",
      "improvement_over_parent": null
    },
    "node_2976": {
      "node_id": "node_2976",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2975",
      "improvement_over_parent": null
    },
    "node_2977": {
      "node_id": "node_2977",
      "content": "INITIAL DESIGN (Trace 439)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n\nPerformance:\n  Mass: 292.39 kg\n  Factor of Safety: 0.80\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 292.3902925894164,
      "fos_buckling": 0.7981540197731413,
      "fos_yielding": 8.06025895872377,
      "deflection": 0.011070558625797223,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2978": {
      "node_id": "node_2978",
      "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0034)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0052)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0059)]\n\nPerformance:\n  Mass: 301.44 kg\n  Factor of Safety: 0.94\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 301.43828292489445,
      "fos_buckling": 0.9438895709342531,
      "fos_yielding": 7.685867027501362,
      "deflection": 0.010814997162033714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.527)"
      },
      "parent_node_id": "node_2977",
      "improvement_over_parent": null
    },
    "node_2979": {
      "node_id": "node_2979",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0054)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0059)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0067)]\n\nPerformance:\n  Mass: 341.97 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.56e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 341.9693217782619,
      "fos_buckling": 1.0548225843927317,
      "fos_yielding": 8.726151977414915,
      "deflection": 0.009555381636436155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2978",
      "improvement_over_parent": null
    },
    "node_2980": {
      "node_id": "node_2980",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 444.61 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.39e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.61314240241666,
      "fos_buckling": 1.31932893009003,
      "fos_yielding": 11.368318377970551,
      "deflection": 0.007392523182505494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2979",
      "improvement_over_parent": null
    },
    "node_2981": {
      "node_id": "node_2981",
      "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 457.51 kg\n  Factor of Safety: 1.33\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 457.5113139807811,
      "fos_buckling": 1.3324263666659761,
      "fos_yielding": 11.926861756895933,
      "deflection": 0.007071409122101358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.357)"
      },
      "parent_node_id": "node_2980",
      "improvement_over_parent": null
    },
    "node_2982": {
      "node_id": "node_2982",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6513719385881,
      "fos_buckling": 1.5382529589954776,
      "fos_yielding": 14.277976171589286,
      "deflection": 0.0059501536366392575,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_2981",
      "improvement_over_parent": null
    },
    "node_2983": {
      "node_id": "node_2983",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2982",
      "improvement_over_parent": null
    },
    "node_2984": {
      "node_id": "node_2984",
      "content": "INITIAL DESIGN (Trace 440)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 356.93 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 356.93498827929955,
      "fos_buckling": 0.7568561228901015,
      "fos_yielding": 9.01215172000815,
      "deflection": 0.010335922857749312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2985": {
      "node_id": "node_2985",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n\nPerformance:\n  Mass: 391.00 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.24e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.0039369189216,
      "fos_buckling": 1.1679261306797326,
      "fos_yielding": 10.179972721606902,
      "deflection": 0.008240921548369508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006044)"
      },
      "parent_node_id": "node_2984",
      "improvement_over_parent": null
    },
    "node_2986": {
      "node_id": "node_2986",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 459.85 kg\n  Factor of Safety: 1.34\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 459.84691534358757,
      "fos_buckling": 1.3382825187434473,
      "fos_yielding": 11.990004901678937,
      "deflection": 0.00703642602768016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2985",
      "improvement_over_parent": null
    },
    "node_2987": {
      "node_id": "node_2987",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.6869804273751,
      "fos_buckling": 1.5363878687276264,
      "fos_yielding": 14.254426714370206,
      "deflection": 0.005960275287263667,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2986",
      "improvement_over_parent": null
    },
    "node_2988": {
      "node_id": "node_2988",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2987",
      "improvement_over_parent": null
    },
    "node_2989": {
      "node_id": "node_2989",
      "content": "INITIAL DESIGN (Trace 441)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0020)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 479.09 kg\n  Factor of Safety: 0.82\n  Max Deflection: 6.87e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.08647048579707,
      "fos_buckling": 0.8155300960112517,
      "fos_yielding": 8.30436139309511,
      "deflection": 0.006865975616148339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2990": {
      "node_id": "node_2990",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 541.03 kg\n  Factor of Safety: 0.91\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": 541.0273817817103,
      "fos_buckling": 0.9104602574250331,
      "fos_yielding": 9.35077053814073,
      "deflection": 0.006102195304265051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2989",
      "improvement_over_parent": null
    },
    "node_2991": {
      "node_id": "node_2991",
      "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 542.99 kg\n  Factor of Safety: 1.22\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.9898706416634,
      "fos_buckling": 1.2213832804959046,
      "fos_yielding": 12.976594056102963,
      "deflection": 0.006021163878313449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.493)"
      },
      "parent_node_id": "node_2990",
      "improvement_over_parent": null
    },
    "node_2992": {
      "node_id": "node_2992",
      "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.47 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4663599869154,
      "fos_buckling": 1.5381096334684992,
      "fos_yielding": 14.274613889663069,
      "deflection": 0.005952053015747572,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.618)"
      },
      "parent_node_id": "node_2991",
      "improvement_over_parent": null
    },
    "node_2993": {
      "node_id": "node_2993",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2992",
      "improvement_over_parent": null
    },
    "node_2994": {
      "node_id": "node_2994",
      "content": "INITIAL DESIGN (Trace 442)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 238.78 kg\n  Factor of Safety: 0.04\n  Max Deflection: 5.95e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.78296380649286,
      "fos_buckling": 0.03721902807188717,
      "fos_yielding": 0.3022033599062365,
      "deflection": 594711893044872.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2995": {
      "node_id": "node_2995",
      "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0041)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n\nPerformance:\n  Mass: 278.97 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 278.9696699713121,
      "fos_buckling": 0.40122790681779064,
      "fos_yielding": 4.509723557504195,
      "deflection": 0.01758537283072486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005738)"
      },
      "parent_node_id": "node_2994",
      "improvement_over_parent": null
    },
    "node_2996": {
      "node_id": "node_2996",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 343.46 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.43e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 343.45547550233,
      "fos_buckling": 0.47976831589605134,
      "fos_yielding": 5.515509715608586,
      "deflection": 0.014343638049825313,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2995",
      "improvement_over_parent": null
    },
    "node_2997": {
      "node_id": "node_2997",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 398.37 kg\n  Factor of Safety: 1.13\n  Max Deflection: 8.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.3655924608989,
      "fos_buckling": 1.125625732213369,
      "fos_yielding": 11.11958208457268,
      "deflection": 0.008052902256435955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006895)"
      },
      "parent_node_id": "node_2996",
      "improvement_over_parent": null
    },
    "node_2998": {
      "node_id": "node_2998",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 404.58 kg\n  Factor of Safety: 1.12\n  Max Deflection: 7.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 404.5822086550068,
      "fos_buckling": 1.1235504212253267,
      "fos_yielding": 10.876021419092863,
      "deflection": 0.007964348498804312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.183)"
      },
      "parent_node_id": "node_2997",
      "improvement_over_parent": null
    },
    "node_2999": {
      "node_id": "node_2999",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 525.21 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 525.207315128195,
      "fos_buckling": 1.4017285724037325,
      "fos_yielding": 14.145456009861183,
      "deflection": 0.006179682649086932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_2998",
      "improvement_over_parent": null
    },
    "node_3000": {
      "node_id": "node_3000",
      "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0133)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 547.65 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 547.6524604214916,
      "fos_buckling": 1.4624687162876586,
      "fos_yielding": 13.671112723713634,
      "deflection": 0.006060203586137456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.401)"
      },
      "parent_node_id": "node_2999",
      "improvement_over_parent": null
    },
    "node_3001": {
      "node_id": "node_3001",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3000",
      "improvement_over_parent": null
    },
    "node_3002": {
      "node_id": "node_3002",
      "content": "INITIAL DESIGN (Trace 443)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 339.96 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 339.96185552755014,
      "fos_buckling": 0.6065461962870966,
      "fos_yielding": 7.455028627422827,
      "deflection": 0.011061615054423515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3003": {
      "node_id": "node_3003",
      "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 355.35 kg\n  Factor of Safety: 0.78\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": 355.3506936802422,
      "fos_buckling": 0.781490634526071,
      "fos_yielding": 9.347131046259236,
      "deflection": 0.009967150496021255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.353)"
      },
      "parent_node_id": "node_3002",
      "improvement_over_parent": null
    },
    "node_3004": {
      "node_id": "node_3004",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 402.96 kg\n  Factor of Safety: 0.95\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": 402.9616090503876,
      "fos_buckling": 0.9455765583970654,
      "fos_yielding": 9.768623590349925,
      "deflection": 0.008044763052815616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006870)"
      },
      "parent_node_id": "node_3003",
      "improvement_over_parent": null
    },
    "node_3005": {
      "node_id": "node_3005",
      "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0063)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0069)]\n\nPerformance:\n  Mass: 405.56 kg\n  Factor of Safety: 1.20\n  Max Deflection: 7.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 405.56313290587246,
      "fos_buckling": 1.2048141682717954,
      "fos_yielding": 10.56270531919108,
      "deflection": 0.00795207786752561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.610)"
      },
      "parent_node_id": "node_3004",
      "improvement_over_parent": null
    },
    "node_3006": {
      "node_id": "node_3006",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 475.99 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.80e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 475.9909064344388,
      "fos_buckling": 1.376748588505406,
      "fos_yielding": 12.41568892692602,
      "deflection": 0.00680438528108853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_3005",
      "improvement_over_parent": null
    },
    "node_3007": {
      "node_id": "node_3007",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6078418484674,
      "fos_buckling": 1.5384300234596027,
      "fos_yielding": 14.279277601155123,
      "deflection": 0.005950551964834121,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_3006",
      "improvement_over_parent": null
    },
    "node_3008": {
      "node_id": "node_3008",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3007",
      "improvement_over_parent": null
    },
    "node_3009": {
      "node_id": "node_3009",
      "content": "INITIAL DESIGN (Trace 444)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\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_3010": {
      "node_id": "node_3010",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n\nPerformance:\n  Mass: 326.01 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 326.0137673209625,
      "fos_buckling": 0.7433869760464473,
      "fos_yielding": 8.827583498978399,
      "deflection": 0.010767982649046473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005901)"
      },
      "parent_node_id": "node_3009",
      "improvement_over_parent": null
    },
    "node_3011": {
      "node_id": "node_3011",
      "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n\nPerformance:\n  Mass: 342.52 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 342.52388603910396,
      "fos_buckling": 0.7426071472898185,
      "fos_yielding": 8.818323176043156,
      "deflection": 0.010425633180100796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.307)"
      },
      "parent_node_id": "node_3010",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0049)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 387.41 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.24e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.406151011392,
      "fos_buckling": 1.1514178665824661,
      "fos_yielding": 10.825816304447523,
      "deflection": 0.008243937557983734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006451)"
      },
      "parent_node_id": "node_3011",
      "improvement_over_parent": null
    },
    "node_3013": {
      "node_id": "node_3013",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0111)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 444.55 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.54790834114993,
      "fos_buckling": 1.2937487788858246,
      "fos_yielding": 12.432359016545808,
      "deflection": 0.007209278786571738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_3012",
      "improvement_over_parent": null
    },
    "node_3014": {
      "node_id": "node_3014",
      "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0107)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0111)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 460.12 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 460.1243688608756,
      "fos_buckling": 1.4330033118668064,
      "fos_yielding": 12.922885132701518,
      "deflection": 0.006963841329890626,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.255)"
      },
      "parent_node_id": "node_3013",
      "improvement_over_parent": null
    },
    "node_3015": {
      "node_id": "node_3015",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0136)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0073)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0141)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 571.89 kg\n  Factor of Safety: 1.70\n  Max Deflection: 5.64e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 571.8860721723755,
      "fos_buckling": 1.7049821832640824,
      "fos_yielding": 16.08521348146055,
      "deflection": 0.0056406921995996746,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_3014",
      "improvement_over_parent": null
    },
    "node_3016": {
      "node_id": "node_3016",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3015",
      "improvement_over_parent": null
    },
    "node_3017": {
      "node_id": "node_3017",
      "content": "INITIAL DESIGN (Trace 445)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\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_3018": {
      "node_id": "node_3018",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 470.00 kg\n  Factor of Safety: 0.70\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 470.0042163993278,
      "fos_buckling": 0.6960450364438973,
      "fos_yielding": 8.697728684905686,
      "deflection": 0.008758683774858238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3017",
      "improvement_over_parent": null
    },
    "node_3019": {
      "node_id": "node_3019",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 517.61 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.44e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.6069808598307,
      "fos_buckling": 1.188610645918971,
      "fos_yielding": 13.14841701122699,
      "deflection": 0.0064395077011277935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3018",
      "improvement_over_parent": null
    },
    "node_3020": {
      "node_id": "node_3020",
      "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0137)]\n\nPerformance:\n  Mass: 541.06 kg\n  Factor of Safety: 1.25\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": 541.0592922337311,
      "fos_buckling": 1.2494311025198674,
      "fos_yielding": 12.653417294744182,
      "deflection": 0.006283974950134373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.575)"
      },
      "parent_node_id": "node_3019",
      "improvement_over_parent": null
    },
    "node_3021": {
      "node_id": "node_3021",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3020",
      "improvement_over_parent": null
    },
    "node_3022": {
      "node_id": "node_3022",
      "content": "INITIAL DESIGN (Trace 446)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 347.33 kg\n  Factor of Safety: 0.03\n  Max Deflection: 7.34e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 347.3258446559969,
      "fos_buckling": 0.030450157432559934,
      "fos_yielding": 0.3296720515344266,
      "deflection": 734323597132810.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3023": {
      "node_id": "node_3023",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 390.25 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.95e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.24655163136003,
      "fos_buckling": 0.634807296240104,
      "fos_yielding": 10.58918549703122,
      "deflection": 19533375136718.11,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_3022",
      "improvement_over_parent": null
    },
    "node_3024": {
      "node_id": "node_3024",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 437.85 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 437.849316091863,
      "fos_buckling": 0.5434503354186582,
      "fos_yielding": 5.980529504065553,
      "deflection": 0.011348120809123596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3023",
      "improvement_over_parent": null
    },
    "node_3025": {
      "node_id": "node_3025",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 521.24 kg\n  Factor of Safety: 1.44\n  Max Deflection: 6.16e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 521.2445485252244,
      "fos_buckling": 1.442674815972934,
      "fos_yielding": 15.319998128263252,
      "deflection": 0.006158718695838662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3024",
      "improvement_over_parent": null
    },
    "node_3026": {
      "node_id": "node_3026",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0086)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 525.40 kg\n  Factor of Safety: 1.46\n  Max Deflection: 6.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 525.4031761699185,
      "fos_buckling": 1.4582998303821042,
      "fos_yielding": 16.117053853363046,
      "deflection": 0.006085916244298675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.366)"
      },
      "parent_node_id": "node_3025",
      "improvement_over_parent": null
    },
    "node_3027": {
      "node_id": "node_3027",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0086)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 534.38 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 534.3781803853035,
      "fos_buckling": 1.4302807315435506,
      "fos_yielding": 15.483680197462734,
      "deflection": 0.006023085736152718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.255)"
      },
      "parent_node_id": "node_3026",
      "improvement_over_parent": null
    },
    "node_3028": {
      "node_id": "node_3028",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0086)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0130)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 549.46 kg\n  Factor of Safety: 1.46\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 549.4615475522411,
      "fos_buckling": 1.4615697495684046,
      "fos_yielding": 16.084194708997217,
      "deflection": 0.005852388412496195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.203)"
      },
      "parent_node_id": "node_3027",
      "improvement_over_parent": null
    },
    "node_3029": {
      "node_id": "node_3029",
      "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0086)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0130)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0120)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 564.29 kg\n  Factor of Safety: 1.38\n  Max Deflection: 5.77e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 564.2865472233415,
      "fos_buckling": 1.3841060284346234,
      "fos_yielding": 15.2317266184616,
      "deflection": 0.005774391522368088,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.261)"
      },
      "parent_node_id": "node_3028",
      "improvement_over_parent": null
    },
    "node_3030": {
      "node_id": "node_3030",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3029",
      "improvement_over_parent": null
    },
    "node_3031": {
      "node_id": "node_3031",
      "content": "INITIAL DESIGN (Trace 447)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 426.08 kg\n  Factor of Safety: 0.89\n  Max Deflection: 8.94e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 426.08478958626154,
      "fos_buckling": 0.8917535819537507,
      "fos_yielding": 9.333493916976703,
      "deflection": 0.008942759746379148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3032": {
      "node_id": "node_3032",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0072)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 467.50 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 467.4976703873599,
      "fos_buckling": 1.373297246385299,
      "fos_yielding": 12.083741718395448,
      "deflection": 0.006975998416944993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007454)"
      },
      "parent_node_id": "node_3031",
      "improvement_over_parent": null
    },
    "node_3033": {
      "node_id": "node_3033",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n\nPerformance:\n  Mass: 475.24 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 475.2442505051571,
      "fos_buckling": 1.375027622956961,
      "fos_yielding": 12.395221794519953,
      "deflection": 0.006814883609363097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.182)"
      },
      "parent_node_id": "node_3032",
      "improvement_over_parent": null
    },
    "node_3034": {
      "node_id": "node_3034",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.19 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1898025675928,
      "fos_buckling": 1.5375524551636133,
      "fos_yielding": 14.267316277278265,
      "deflection": 0.005955055386869064,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_3033",
      "improvement_over_parent": null
    },
    "node_3035": {
      "node_id": "node_3035",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3034",
      "improvement_over_parent": null
    },
    "node_3036": {
      "node_id": "node_3036",
      "content": "INITIAL DESIGN (Trace 448)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 391.49 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 391.4926936985429,
      "fos_buckling": 0.5346558872089531,
      "fos_yielding": 6.25292935806787,
      "deflection": 0.012671057805218768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3037": {
      "node_id": "node_3037",
      "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0075)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0094)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0082)]\n\nPerformance:\n  Mass: 394.63 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.63010146945743,
      "fos_buckling": 0.5346558872089531,
      "fos_yielding": 6.252929358067873,
      "deflection": 0.012616528623576989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.637)"
      },
      "parent_node_id": "node_3036",
      "improvement_over_parent": null
    },
    "node_3038": {
      "node_id": "node_3038",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 449.36 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.3556447471733,
      "fos_buckling": 0.5935431355870963,
      "fos_yielding": 7.081065450576851,
      "deflection": 0.011118393137486433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_3037",
      "improvement_over_parent": null
    },
    "node_3039": {
      "node_id": "node_3039",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 532.75 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 532.7508771805348,
      "fos_buckling": 1.3672281141492053,
      "fos_yielding": 14.872342255338802,
      "deflection": 0.006072267141498242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3038",
      "improvement_over_parent": null
    },
    "node_3040": {
      "node_id": "node_3040",
      "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2683052688038,
      "fos_buckling": 1.5376526370324861,
      "fos_yielding": 14.26907815110056,
      "deflection": 0.005954187034515494,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.435)"
      },
      "parent_node_id": "node_3039",
      "improvement_over_parent": null
    },
    "node_3041": {
      "node_id": "node_3041",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3040",
      "improvement_over_parent": null
    },
    "node_3042": {
      "node_id": "node_3042",
      "content": "INITIAL DESIGN (Trace 449)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0047)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0025)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0045)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 222.32 kg\n  Factor of Safety: 0.21\n  Max Deflection: 2.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.32413564507118,
      "fos_buckling": 0.20706801581666087,
      "fos_yielding": 2.9854500243509787,
      "deflection": 0.02512190031908158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3043": {
      "node_id": "node_3043",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0031)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 277.40 kg\n  Factor of Safety: 0.26\n  Max Deflection: 2.02e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 277.39866004701514,
      "fos_buckling": 0.25534046772386876,
      "fos_yielding": 3.727614047920394,
      "deflection": 0.02017602177780471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_3042",
      "improvement_over_parent": null
    },
    "node_3044": {
      "node_id": "node_3044",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 342.29 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 342.29122906165424,
      "fos_buckling": 0.31069663674544323,
      "fos_yielding": 4.604491972117235,
      "deflection": 0.016389809138173377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_3043",
      "improvement_over_parent": null
    },
    "node_3045": {
      "node_id": "node_3045",
      "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 348.92 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 348.9192496975287,
      "fos_buckling": 0.3923966075620602,
      "fos_yielding": 5.509304169299508,
      "deflection": 0.01511431250335165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.309)"
      },
      "parent_node_id": "node_3044",
      "improvement_over_parent": null
    },
    "node_3046": {
      "node_id": "node_3046",
      "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 356.32 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.42e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 356.3197774199691,
      "fos_buckling": 0.4786047255089137,
      "fos_yielding": 5.5016294842426765,
      "deflection": 0.01423784912322809,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.271)"
      },
      "parent_node_id": "node_3045",
      "improvement_over_parent": null
    },
    "node_3047": {
      "node_id": "node_3047",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 420.54 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.68e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 420.53964083509345,
      "fos_buckling": 1.2422432526439786,
      "fos_yielding": 10.95612951887137,
      "deflection": 0.007675780105356751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008147)"
      },
      "parent_node_id": "node_3046",
      "improvement_over_parent": null
    },
    "node_3048": {
      "node_id": "node_3048",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.21 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.213971904315,
      "fos_buckling": 1.5375201664714453,
      "fos_yielding": 14.26867890193651,
      "deflection": 0.0059546562167174305,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_3047",
      "improvement_over_parent": null
    },
    "node_3049": {
      "node_id": "node_3049",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3048",
      "improvement_over_parent": null
    },
    "node_3050": {
      "node_id": "node_3050",
      "content": "INITIAL DESIGN (Trace 450)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_3051": {
      "node_id": "node_3051",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 449.91 kg\n  Factor of Safety: 0.51\n  Max Deflection: 3.16e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.90838585496044,
      "fos_buckling": 0.5085247924612849,
      "fos_yielding": 6.365733713771207,
      "deflection": 0.03164121951834925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3050",
      "improvement_over_parent": null
    },
    "node_3052": {
      "node_id": "node_3052",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.30 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.3036182883219,
      "fos_buckling": 1.0116338279021864,
      "fos_yielding": 12.66367276431,
      "deflection": 0.009050141920380537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3051",
      "improvement_over_parent": null
    },
    "node_3053": {
      "node_id": "node_3053",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2731377978768,
      "fos_buckling": 1.5376678398560952,
      "fos_yielding": 14.270103402657696,
      "deflection": 0.005954101059191969,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_3052",
      "improvement_over_parent": null
    },
    "node_3054": {
      "node_id": "node_3054",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3053",
      "improvement_over_parent": null
    },
    "node_3055": {
      "node_id": "node_3055",
      "content": "INITIAL DESIGN (Trace 451)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n\nPerformance:\n  Mass: 185.03 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.41e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.02839137551172,
      "fos_buckling": 0.233499742880938,
      "fos_yielding": 1.8089464768574308,
      "deflection": 24051789205243.08,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3056": {
      "node_id": "node_3056",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n\nPerformance:\n  Mass: 210.11 kg\n  Factor of Safety: 0.23\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": 210.10910179704436,
      "fos_buckling": 0.233499742880938,
      "fos_yielding": 1.8089464768574308,
      "deflection": 47812783276161.875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004375)"
      },
      "parent_node_id": "node_3055",
      "improvement_over_parent": null
    },
    "node_3057": {
      "node_id": "node_3057",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0050)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0032)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0055)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0048)]\n\nPerformance:\n  Mass: 243.90 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.9033156216683,
      "fos_buckling": 0.3438390805761892,
      "fos_yielding": 3.8064289030677565,
      "deflection": 0.020658789452614585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.004783)"
      },
      "parent_node_id": "node_3056",
      "improvement_over_parent": null
    },
    "node_3058": {
      "node_id": "node_3058",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n\nPerformance:\n  Mass: 309.27 kg\n  Factor of Safety: 0.42\n  Max Deflection: 1.64e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 309.27095628597027,
      "fos_buckling": 0.4240119253166256,
      "fos_yielding": 4.796533812293991,
      "deflection": 0.016356944308026082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_3057",
      "improvement_over_parent": null
    },
    "node_3059": {
      "node_id": "node_3059",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n\nPerformance:\n  Mass: 372.86 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.8607955240383,
      "fos_buckling": 0.49725889906084486,
      "fos_yielding": 5.747954813393023,
      "deflection": 0.013619466197749019,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_3058",
      "improvement_over_parent": null
    },
    "node_3060": {
      "node_id": "node_3060",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 440.02 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.0195072670137,
      "fos_buckling": 1.290070800381093,
      "fos_yielding": 11.468036207467858,
      "deflection": 0.007344745080434454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008548)"
      },
      "parent_node_id": "node_3059",
      "improvement_over_parent": null
    },
    "node_3061": {
      "node_id": "node_3061",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6160335080156,
      "fos_buckling": 1.538225883061435,
      "fos_yielding": 14.278840679590564,
      "deflection": 0.005950521535654992,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_3060",
      "improvement_over_parent": null
    },
    "node_3062": {
      "node_id": "node_3062",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3061",
      "improvement_over_parent": null
    },
    "node_3063": {
      "node_id": "node_3063",
      "content": "INITIAL DESIGN (Trace 452)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0018)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 266.45 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.33e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 266.45293315328615,
      "fos_buckling": 0.6110915391232522,
      "fos_yielding": 7.086542612058263,
      "deflection": 0.01328676352067202,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3064": {
      "node_id": "node_3064",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0053)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0026)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 268.15 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.32e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 268.1538244894002,
      "fos_buckling": 0.6109588118130109,
      "fos_yielding": 7.085003435552632,
      "deflection": 0.013199333349708298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.447)"
      },
      "parent_node_id": "node_3063",
      "improvement_over_parent": null
    },
    "node_3065": {
      "node_id": "node_3065",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 298.65 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 298.6527273495368,
      "fos_buckling": 0.6719125118116439,
      "fos_yielding": 7.87555717906933,
      "deflection": 0.011873804187347518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_3064",
      "improvement_over_parent": null
    },
    "node_3066": {
      "node_id": "node_3066",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 338.52 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 338.5193550018367,
      "fos_buckling": 0.749015709929699,
      "fos_yielding": 8.90431479571303,
      "deflection": 0.010501304212862059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3065",
      "improvement_over_parent": null
    },
    "node_3067": {
      "node_id": "node_3067",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n\nPerformance:\n  Mass: 383.80 kg\n  Factor of Safety: 1.04\n  Max Deflection: 8.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.800284717474,
      "fos_buckling": 1.0396139755810117,
      "fos_yielding": 8.086601179840427,
      "deflection": 0.008482527039094337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006512)"
      },
      "parent_node_id": "node_3066",
      "improvement_over_parent": null
    },
    "node_3068": {
      "node_id": "node_3068",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n\nPerformance:\n  Mass: 464.46 kg\n  Factor of Safety: 1.24\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 464.46345521319097,
      "fos_buckling": 1.2389587027680826,
      "fos_yielding": 9.830799289148588,
      "deflection": 0.007041558911831861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_3067",
      "improvement_over_parent": null
    },
    "node_3069": {
      "node_id": "node_3069",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 543.98 kg\n  Factor of Safety: 1.43\n  Max Deflection: 6.04e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.9844362482736,
      "fos_buckling": 1.4287471031706183,
      "fos_yielding": 11.567585341501502,
      "deflection": 0.006039260139686423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_3068",
      "improvement_over_parent": null
    },
    "node_3070": {
      "node_id": "node_3070",
      "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.77 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.7716477986974,
      "fos_buckling": 1.5387981680302893,
      "fos_yielding": 14.290273652248276,
      "deflection": 0.00594864813793877,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.300)"
      },
      "parent_node_id": "node_3069",
      "improvement_over_parent": null
    },
    "node_3071": {
      "node_id": "node_3071",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3070",
      "improvement_over_parent": null
    },
    "node_3072": {
      "node_id": "node_3072",
      "content": "INITIAL DESIGN (Trace 453)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 372.86 kg\n  Factor of Safety: 0.95\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 372.8590796067552,
      "fos_buckling": 0.9504421987325231,
      "fos_yielding": 7.322150160210466,
      "deflection": 0.008765646811761382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3073": {
      "node_id": "node_3073",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 479.92 kg\n  Factor of Safety: 1.20\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.9186896062955,
      "fos_buckling": 1.202424022410388,
      "fos_yielding": 9.491073555726658,
      "deflection": 0.0068507043128132085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_3072",
      "improvement_over_parent": null
    },
    "node_3074": {
      "node_id": "node_3074",
      "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 483.10 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 483.0985952593388,
      "fos_buckling": 1.3934591485679009,
      "fos_yielding": 12.592750327241296,
      "deflection": 0.006707377835099179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.416)"
      },
      "parent_node_id": "node_3073",
      "improvement_over_parent": null
    },
    "node_3075": {
      "node_id": "node_3075",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9761095099506,
      "fos_buckling": 1.5369800705070369,
      "fos_yielding": 14.251124762114223,
      "deflection": 0.005957410129682531,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_3074",
      "improvement_over_parent": null
    },
    "node_3076": {
      "node_id": "node_3076",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3075",
      "improvement_over_parent": null
    },
    "node_3077": {
      "node_id": "node_3077",
      "content": "INITIAL DESIGN (Trace 454)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0022)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0051)]\n\nPerformance:\n  Mass: 256.11 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.1102975414149,
      "fos_buckling": 0.5476683245167869,
      "fos_yielding": 6.6621995449296465,
      "deflection": 0.01562547527487762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3078": {
      "node_id": "node_3078",
      "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0051)]\n\nPerformance:\n  Mass: 256.98 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.56e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.98159251293475,
      "fos_buckling": 0.5476073423472004,
      "fos_yielding": 6.661457717505491,
      "deflection": 0.015618207562114798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.189)"
      },
      "parent_node_id": "node_3077",
      "improvement_over_parent": null
    },
    "node_3079": {
      "node_id": "node_3079",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 321.69 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.25e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 321.6948360843713,
      "fos_buckling": 0.6701733546940846,
      "fos_yielding": 8.326442775720025,
      "deflection": 0.012531852097081015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_3078",
      "improvement_over_parent": null
    },
    "node_3080": {
      "node_id": "node_3080",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 358.66 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 358.65562099612146,
      "fos_buckling": 0.6686006440648681,
      "fos_yielding": 8.306902928357824,
      "deflection": 0.010368946497859624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006594)"
      },
      "parent_node_id": "node_3079",
      "improvement_over_parent": null
    },
    "node_3081": {
      "node_id": "node_3081",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 408.45 kg\n  Factor of Safety: 1.01\n  Max Deflection: 8.11e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 408.4511130748539,
      "fos_buckling": 1.0062315174524896,
      "fos_yielding": 7.822282149326568,
      "deflection": 0.008113126520349557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007208)"
      },
      "parent_node_id": "node_3080",
      "improvement_over_parent": null
    },
    "node_3082": {
      "node_id": "node_3082",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0060)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 411.48 kg\n  Factor of Safety: 0.99\n  Max Deflection: 8.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.4831745858411,
      "fos_buckling": 0.9949173022297735,
      "fos_yielding": 7.734327257996632,
      "deflection": 0.00806103857822362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.449)"
      },
      "parent_node_id": "node_3081",
      "improvement_over_parent": null
    },
    "node_3083": {
      "node_id": "node_3083",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0078)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 530.18 kg\n  Factor of Safety: 1.26\n  Max Deflection: 6.29e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 530.180393658731,
      "fos_buckling": 1.2584567863052598,
      "fos_yielding": 10.055702433801226,
      "deflection": 0.006293520196741005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_3082",
      "improvement_over_parent": null
    },
    "node_3084": {
      "node_id": "node_3084",
      "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0078)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0120)]\n\nPerformance:\n  Mass: 545.28 kg\n  Factor of Safety: 1.23\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.2759785372671,
      "fos_buckling": 1.2284687250263682,
      "fos_yielding": 9.816082747159093,
      "deflection": 0.006205859882372531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.266)"
      },
      "parent_node_id": "node_3083",
      "improvement_over_parent": null
    },
    "node_3085": {
      "node_id": "node_3085",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3084",
      "improvement_over_parent": null
    },
    "node_3086": {
      "node_id": "node_3086",
      "content": "INITIAL DESIGN (Trace 455)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0027)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0044)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0038)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0028)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0019)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0042)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0048)]\n\nPerformance:\n  Mass: 220.89 kg\n  Factor of Safety: 0.52\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": 220.88653285855804,
      "fos_buckling": 0.5181094422030167,
      "fos_yielding": 3.74182709858627,
      "deflection": 0.018373627321235035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3087": {
      "node_id": "node_3087",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0035)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 276.89 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.47e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 276.88836372416233,
      "fos_buckling": 0.6343892921234761,
      "fos_yielding": 4.690779672813071,
      "deflection": 0.0146918995434115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_3086",
      "improvement_over_parent": null
    },
    "node_3088": {
      "node_id": "node_3088",
      "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 290.06 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 290.05540509586064,
      "fos_buckling": 0.63385679687954,
      "fos_yielding": 7.376895651601218,
      "deflection": 0.012676028266267765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.603)"
      },
      "parent_node_id": "node_3087",
      "improvement_over_parent": null
    },
    "node_3089": {
      "node_id": "node_3089",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0056)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0049)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0035)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 291.09 kg\n  Factor of Safety: 0.63\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 291.0873921466456,
      "fos_buckling": 0.6338567968795401,
      "fos_yielding": 7.376895651601219,
      "deflection": 0.012623441507915011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.236)"
      },
      "parent_node_id": "node_3088",
      "improvement_over_parent": null
    },
    "node_3090": {
      "node_id": "node_3090",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 349.13 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 349.12757059965577,
      "fos_buckling": 0.7426858464685181,
      "fos_yielding": 8.81562041936781,
      "deflection": 0.010562744509684209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_3089",
      "improvement_over_parent": null
    },
    "node_3091": {
      "node_id": "node_3091",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 451.67 kg\n  Factor of Safety: 0.92\n  Max Deflection: 8.22e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.6703053701632,
      "fos_buckling": 0.921094953931588,
      "fos_yielding": 11.332100407615169,
      "deflection": 0.008216397093269361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_3090",
      "improvement_over_parent": null
    },
    "node_3092": {
      "node_id": "node_3092",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 498.93 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.9314148396486,
      "fos_buckling": 0.997437891364451,
      "fos_yielding": 12.4811501232103,
      "deflection": 0.007459677720902251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_3091",
      "improvement_over_parent": null
    },
    "node_3093": {
      "node_id": "node_3093",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5341793001515,
      "fos_buckling": 1.5384044492527684,
      "fos_yielding": 14.277497450587077,
      "deflection": 0.0059513379035055596,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3092",
      "improvement_over_parent": null
    },
    "node_3094": {
      "node_id": "node_3094",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3093",
      "improvement_over_parent": null
    },
    "node_3095": {
      "node_id": "node_3095",
      "content": "INITIAL DESIGN (Trace 456)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 444.48 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 444.47562131797133,
      "fos_buckling": 0.5936533950594486,
      "fos_yielding": 7.082406802649706,
      "deflection": 0.011146437840311229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3096": {
      "node_id": "node_3096",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0079)]\n\nPerformance:\n  Mass: 506.84 kg\n  Factor of Safety: 1.29\n  Max Deflection: 6.43e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 506.8379655446217,
      "fos_buckling": 1.2922179678663364,
      "fos_yielding": 14.164795654266156,
      "deflection": 0.006428230944110799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007895)"
      },
      "parent_node_id": "node_3095",
      "improvement_over_parent": null
    },
    "node_3097": {
      "node_id": "node_3097",
      "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0070)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 527.86 kg\n  Factor of Safety: 1.46\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": 527.8648962313632,
      "fos_buckling": 1.4563631782769728,
      "fos_yielding": 15.01331496426563,
      "deflection": 0.006107878428480893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.370)"
      },
      "parent_node_id": "node_3096",
      "improvement_over_parent": null
    },
    "node_3098": {
      "node_id": "node_3098",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.83 kg\n  Factor of Safety: 1.38\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.8333148640293,
      "fos_buckling": 1.3793983309894133,
      "fos_yielding": 14.464493713244428,
      "deflection": 0.005995956966497415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.364)"
      },
      "parent_node_id": "node_3097",
      "improvement_over_parent": null
    },
    "node_3099": {
      "node_id": "node_3099",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2436613081967,
      "fos_buckling": 1.5376061935773588,
      "fos_yielding": 14.270374658443796,
      "deflection": 0.005954309129873362,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.366)"
      },
      "parent_node_id": "node_3098",
      "improvement_over_parent": null
    },
    "node_3100": {
      "node_id": "node_3100",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3099",
      "improvement_over_parent": null
    },
    "node_3101": {
      "node_id": "node_3101",
      "content": "INITIAL DESIGN (Trace 457)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 346.03 kg\n  Factor of Safety: 0.86\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": 346.03466489630915,
      "fos_buckling": 0.8591480192929865,
      "fos_yielding": 10.430661268599495,
      "deflection": 0.01101263818997627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3102": {
      "node_id": "node_3102",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0081)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0071)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n\nPerformance:\n  Mass: 399.12 kg\n  Factor of Safety: 0.86\n  Max Deflection: 8.96e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 399.1238905921419,
      "fos_buckling": 0.856259950624543,
      "fos_yielding": 10.395598083531828,
      "deflection": 0.008962178815554158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007722)"
      },
      "parent_node_id": "node_3101",
      "improvement_over_parent": null
    },
    "node_3103": {
      "node_id": "node_3103",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 482.35 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.45e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.34852257113687,
      "fos_buckling": 0.9983729397407681,
      "fos_yielding": 12.498269506749022,
      "deflection": 0.007454190820098835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_3102",
      "improvement_over_parent": null
    },
    "node_3104": {
      "node_id": "node_3104",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4811754637575,
      "fos_buckling": 1.5381221070419482,
      "fos_yielding": 14.27692722092729,
      "deflection": 0.005951767510020347,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3103",
      "improvement_over_parent": null
    },
    "node_3105": {
      "node_id": "node_3105",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3104",
      "improvement_over_parent": null
    },
    "node_3106": {
      "node_id": "node_3106",
      "content": "INITIAL DESIGN (Trace 458)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 389.77 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 389.76898704737846,
      "fos_buckling": 0.5959819488948118,
      "fos_yielding": 6.333914532405377,
      "deflection": 0.012595629987251429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3107": {
      "node_id": "node_3107",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 437.37 kg\n  Factor of Safety: 0.59\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": 437.3717515078814,
      "fos_buckling": 0.5941892449551115,
      "fos_yielding": 5.05211707335509,
      "deflection": 0.011805521512672364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3106",
      "improvement_over_parent": null
    },
    "node_3108": {
      "node_id": "node_3108",
      "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 453.83 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 453.82929835650424,
      "fos_buckling": 0.5935719655698425,
      "fos_yielding": 5.142529365624356,
      "deflection": 0.011574106748990612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.222)"
      },
      "parent_node_id": "node_3107",
      "improvement_over_parent": null
    },
    "node_3109": {
      "node_id": "node_3109",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 537.22 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 537.2245307898656,
      "fos_buckling": 1.3240049080260727,
      "fos_yielding": 10.439826542219395,
      "deflection": 0.006082699757263625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3108",
      "improvement_over_parent": null
    },
    "node_3110": {
      "node_id": "node_3110",
      "content": "MODIFICATION: Increase 5 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0089)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 542.45 kg\n  Factor of Safety: 1.31\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.450146872241,
      "fos_buckling": 1.3088771331083324,
      "fos_yielding": 10.32054349035639,
      "deflection": 0.006054768637246887,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.637)"
      },
      "parent_node_id": "node_3109",
      "improvement_over_parent": null
    },
    "node_3111": {
      "node_id": "node_3111",
      "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0089)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 552.88 kg\n  Factor of Safety: 1.29\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 552.8750574855133,
      "fos_buckling": 1.286942474912368,
      "fos_yielding": 10.14758791788035,
      "deflection": 0.0060187491987356324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.247)"
      },
      "parent_node_id": "node_3110",
      "improvement_over_parent": null
    },
    "node_3112": {
      "node_id": "node_3112",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3111",
      "improvement_over_parent": null
    },
    "node_3113": {
      "node_id": "node_3113",
      "content": "INITIAL DESIGN (Trace 459)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\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_3114": {
      "node_id": "node_3114",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n\nPerformance:\n  Mass: 336.20 kg\n  Factor of Safety: 0.74\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": 336.2032437986517,
      "fos_buckling": 0.7362756355198984,
      "fos_yielding": 8.73179186732793,
      "deflection": 0.012979509803596821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006376)"
      },
      "parent_node_id": "node_3113",
      "improvement_over_parent": null
    },
    "node_3115": {
      "node_id": "node_3115",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n\nPerformance:\n  Mass: 345.18 kg\n  Factor of Safety: 0.74\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 345.1803626410401,
      "fos_buckling": 0.735435783313774,
      "fos_yielding": 8.7218317188327,
      "deflection": 0.01068008824428689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004219)"
      },
      "parent_node_id": "node_3114",
      "improvement_over_parent": null
    },
    "node_3116": {
      "node_id": "node_3116",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n\nPerformance:\n  Mass: 403.91 kg\n  Factor of Safety: 0.84\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": 403.914247587144,
      "fos_buckling": 0.8401612800651719,
      "fos_yielding": 10.168423889858921,
      "deflection": 0.009160206379577271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_3115",
      "improvement_over_parent": null
    },
    "node_3117": {
      "node_id": "node_3117",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.82 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.82072584024024,
      "fos_buckling": 0.9972270829512869,
      "fos_yielding": 12.483619191302022,
      "deflection": 0.007460716642800824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_3116",
      "improvement_over_parent": null
    },
    "node_3118": {
      "node_id": "node_3118",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4234903007432,
      "fos_buckling": 1.538001654067148,
      "fos_yielding": 14.274486648913802,
      "deflection": 0.005952460253090793,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3117",
      "improvement_over_parent": null
    },
    "node_3119": {
      "node_id": "node_3119",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3118",
      "improvement_over_parent": null
    },
    "node_3120": {
      "node_id": "node_3120",
      "content": "INITIAL DESIGN (Trace 460)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n\nPerformance:\n  Mass: 327.10 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.51e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 327.1032762851629,
      "fos_buckling": 0.5445724837444409,
      "fos_yielding": 6.383769721250107,
      "deflection": 0.015073370213012876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3121": {
      "node_id": "node_3121",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 366.39 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.35e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 366.3935803349313,
      "fos_buckling": 0.596547302885805,
      "fos_yielding": 7.1160510366003376,
      "deflection": 0.013484960245938754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_3120",
      "improvement_over_parent": null
    },
    "node_3122": {
      "node_id": "node_3122",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 430.53 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.52623322755187,
      "fos_buckling": 0.5941294810314709,
      "fos_yielding": 7.0876451417456785,
      "deflection": 0.01156836221212137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3121",
      "improvement_over_parent": null
    },
    "node_3123": {
      "node_id": "node_3123",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 513.92 kg\n  Factor of Safety: 1.30\n  Max Deflection: 6.44e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 513.9214656609133,
      "fos_buckling": 1.3037874779637528,
      "fos_yielding": 13.124958148814006,
      "deflection": 0.006441827773686159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3122",
      "improvement_over_parent": null
    },
    "node_3124": {
      "node_id": "node_3124",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 523.53 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.31e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 523.533225213953,
      "fos_buckling": 1.2662148848117407,
      "fos_yielding": 13.42920477496276,
      "deflection": 0.006310055622938742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.202)"
      },
      "parent_node_id": "node_3123",
      "improvement_over_parent": null
    },
    "node_3125": {
      "node_id": "node_3125",
      "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.12 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.1221188441339,
      "fos_buckling": 1.5368800129102764,
      "fos_yielding": 14.264834511469266,
      "deflection": 0.005955789165426602,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.408)"
      },
      "parent_node_id": "node_3124",
      "improvement_over_parent": null
    },
    "node_3126": {
      "node_id": "node_3126",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3125",
      "improvement_over_parent": null
    },
    "node_3127": {
      "node_id": "node_3127",
      "content": "INITIAL DESIGN (Trace 461)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0076)]\n\nPerformance:\n  Mass: 351.18 kg\n  Factor of Safety: 0.76\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 351.1781081566338,
      "fos_buckling": 0.7600858769772629,
      "fos_yielding": 7.560734424839253,
      "deflection": 0.010855641656273902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3128": {
      "node_id": "node_3128",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 403.41 kg\n  Factor of Safety: 0.85\n  Max Deflection: 9.48e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 403.40795384751783,
      "fos_buckling": 0.8541693030874341,
      "fos_yielding": 8.671036701767205,
      "deflection": 0.00947702289619369,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_3127",
      "improvement_over_parent": null
    },
    "node_3129": {
      "node_id": "node_3129",
      "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 411.78 kg\n  Factor of Safety: 0.85\n  Max Deflection: 8.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.78007453840667,
      "fos_buckling": 0.853716859628846,
      "fos_yielding": 10.363988989103332,
      "deflection": 0.008989208037818172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.211)"
      },
      "parent_node_id": "node_3128",
      "improvement_over_parent": null
    },
    "node_3130": {
      "node_id": "node_3130",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0077)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n\nPerformance:\n  Mass: 451.10 kg\n  Factor of Safety: 1.32\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.09657032069214,
      "fos_buckling": 1.3171166320881165,
      "fos_yielding": 11.758958026092245,
      "deflection": 0.007169135131929227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007047)"
      },
      "parent_node_id": "node_3129",
      "improvement_over_parent": null
    },
    "node_3131": {
      "node_id": "node_3131",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.39472503749,
      "fos_buckling": 1.5378648155300338,
      "fos_yielding": 14.272317531895165,
      "deflection": 0.0059528124720481185,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_3130",
      "improvement_over_parent": null
    },
    "node_3132": {
      "node_id": "node_3132",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3131",
      "improvement_over_parent": null
    },
    "node_3133": {
      "node_id": "node_3133",
      "content": "INITIAL DESIGN (Trace 462)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_3134": {
      "node_id": "node_3134",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 383.57 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.41e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.57327931200234,
      "fos_buckling": 0.8605840972167998,
      "fos_yielding": 7.235785907429723,
      "deflection": 14054016794748.281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3133",
      "improvement_over_parent": null
    },
    "node_3135": {
      "node_id": "node_3135",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 447.71 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 447.70593220462297,
      "fos_buckling": 0.5936569687784031,
      "fos_yielding": 7.082044824382767,
      "deflection": 0.011021495032744723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3134",
      "improvement_over_parent": null
    },
    "node_3136": {
      "node_id": "node_3136",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0073)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 531.10 kg\n  Factor of Safety: 1.52\n  Max Deflection: 6.22e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 531.1011646379844,
      "fos_buckling": 1.5242819705307094,
      "fos_yielding": 13.605135290971424,
      "deflection": 0.006218851335257316,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3135",
      "improvement_over_parent": null
    },
    "node_3137": {
      "node_id": "node_3137",
      "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2953047029903,
      "fos_buckling": 1.5375901580177251,
      "fos_yielding": 14.270474250817545,
      "deflection": 0.005953810815152799,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.357)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 463)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0088)]\n\nPerformance:\n  Mass: 352.91 kg\n  Factor of Safety: 0.60\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": 352.91344347527337,
      "fos_buckling": 0.5971963974977634,
      "fos_yielding": 7.124033808604755,
      "deflection": 0.013238557708605804,
      "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 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 367.51 kg\n  Factor of Safety: 0.60\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 367.51460940419224,
      "fos_buckling": 0.5966431265536173,
      "fos_yielding": 7.1175338801570485,
      "deflection": 0.012724174024312968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.233)"
      },
      "parent_node_id": "node_3139",
      "improvement_over_parent": null
    },
    "node_3141": {
      "node_id": "node_3141",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 431.65 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 431.64726229681287,
      "fos_buckling": 0.594225087360251,
      "fos_yielding": 7.089124166530306,
      "deflection": 0.011433156659395401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3140",
      "improvement_over_parent": null
    },
    "node_3142": {
      "node_id": "node_3142",
      "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 442.59 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 442.5936079955429,
      "fos_buckling": 0.5938143262494916,
      "fos_yielding": 7.084297758066795,
      "deflection": 0.011321141120470215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.403)"
      },
      "parent_node_id": "node_3141",
      "improvement_over_parent": null
    },
    "node_3143": {
      "node_id": "node_3143",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 449.92 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 449.92278018828995,
      "fos_buckling": 0.5935396166637952,
      "fos_yielding": 7.081069887311718,
      "deflection": 0.011270497126958677,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.200)"
      },
      "parent_node_id": "node_3142",
      "improvement_over_parent": null
    },
    "node_3144": {
      "node_id": "node_3144",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 462.85 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 462.8489795017763,
      "fos_buckling": 0.5930557401092839,
      "fos_yielding": 7.0753841697922555,
      "deflection": 0.011030565113058475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.290)"
      },
      "parent_node_id": "node_3143",
      "improvement_over_parent": null
    },
    "node_3145": {
      "node_id": "node_3145",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2442119351377,
      "fos_buckling": 1.537671504654149,
      "fos_yielding": 14.270248237506241,
      "deflection": 0.005954372160313259,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3144",
      "improvement_over_parent": null
    },
    "node_3146": {
      "node_id": "node_3146",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3145",
      "improvement_over_parent": null
    },
    "node_3147": {
      "node_id": "node_3147",
      "content": "INITIAL DESIGN (Trace 464)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 350.73 kg\n  Factor of Safety: 0.81\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": 350.73278331882625,
      "fos_buckling": 0.8097697996944389,
      "fos_yielding": 9.73796698536667,
      "deflection": 0.01015677161865543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3148": {
      "node_id": "node_3148",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 400.32 kg\n  Factor of Safety: 0.95\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 400.3156404522784,
      "fos_buckling": 0.9510765419738021,
      "fos_yielding": 10.149597046920974,
      "deflection": 0.008264681854809903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007175)"
      },
      "parent_node_id": "node_3147",
      "improvement_over_parent": null
    },
    "node_3149": {
      "node_id": "node_3149",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0070)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 518.56 kg\n  Factor of Safety: 1.20\n  Max Deflection: 6.42e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 518.5642129294218,
      "fos_buckling": 1.1978310935429826,
      "fos_yielding": 13.188705139705807,
      "deflection": 0.006420630526648177,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_3148",
      "improvement_over_parent": null
    },
    "node_3150": {
      "node_id": "node_3150",
      "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6102463766042,
      "fos_buckling": 1.5384016820291446,
      "fos_yielding": 14.278641601084912,
      "deflection": 0.00595052679395652,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.555)"
      },
      "parent_node_id": "node_3149",
      "improvement_over_parent": null
    },
    "node_3151": {
      "node_id": "node_3151",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3150",
      "improvement_over_parent": null
    },
    "node_3152": {
      "node_id": "node_3152",
      "content": "INITIAL DESIGN (Trace 465)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0040)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 406.36 kg\n  Factor of Safety: 0.81\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": 406.359900154818,
      "fos_buckling": 0.807149737425646,
      "fos_yielding": 9.687785274250297,
      "deflection": 0.011829957225876937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3153": {
      "node_id": "node_3153",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 454.86 kg\n  Factor of Safety: 0.89\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 454.86468354018854,
      "fos_buckling": 0.8879297750756391,
      "fos_yielding": 10.827618757959184,
      "deflection": 0.010584606640644473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_3152",
      "improvement_over_parent": null
    },
    "node_3154": {
      "node_id": "node_3154",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n\nPerformance:\n  Mass: 465.92 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.95e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 465.9201071873657,
      "fos_buckling": 1.3527926599451316,
      "fos_yielding": 12.144026719815528,
      "deflection": 0.006947396797727121,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005274)"
      },
      "parent_node_id": "node_3153",
      "improvement_over_parent": null
    },
    "node_3155": {
      "node_id": "node_3155",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5083998181342,
      "fos_buckling": 1.538178911361417,
      "fos_yielding": 14.269306575103549,
      "deflection": 0.005951729627194189,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_3154",
      "improvement_over_parent": null
    },
    "node_3156": {
      "node_id": "node_3156",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3155",
      "improvement_over_parent": null
    },
    "node_3157": {
      "node_id": "node_3157",
      "content": "INITIAL DESIGN (Trace 466)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 421.57 kg\n  Factor of Safety: 1.01\n  Max Deflection: 3.55e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 421.57463709237834,
      "fos_buckling": 1.0147474008679251,
      "fos_yielding": 12.131199047486744,
      "deflection": 3554593809282.702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3158": {
      "node_id": "node_3158",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 485.71 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.70728998499897,
      "fos_buckling": 0.9986274669090988,
      "fos_yielding": 12.500491663115488,
      "deflection": 0.009022484470338458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3157",
      "improvement_over_parent": null
    },
    "node_3159": {
      "node_id": "node_3159",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 498.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.6768094945538,
      "fos_buckling": 0.9969974535352056,
      "fos_yielding": 12.480087689395244,
      "deflection": 0.00746283343663449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_3158",
      "improvement_over_parent": null
    },
    "node_3160": {
      "node_id": "node_3160",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2795739550568,
      "fos_buckling": 1.5376986580449532,
      "fos_yielding": 14.270214927327238,
      "deflection": 0.0059540283590262385,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3159",
      "improvement_over_parent": null
    },
    "node_3161": {
      "node_id": "node_3161",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3160",
      "improvement_over_parent": null
    },
    "node_3162": {
      "node_id": "node_3162",
      "content": "INITIAL DESIGN (Trace 467)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 410.89 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.16e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.89312694798986,
      "fos_buckling": 1.002535404024899,
      "fos_yielding": 12.549409940405855,
      "deflection": 0.00915760376463251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3163": {
      "node_id": "node_3163",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 418.01 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.16e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 418.0064364844688,
      "fos_buckling": 1.002084363628054,
      "fos_yielding": 12.543763964396458,
      "deflection": 0.009161714272913743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.193)"
      },
      "parent_node_id": "node_3162",
      "improvement_over_parent": null
    },
    "node_3164": {
      "node_id": "node_3164",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 482.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.13908937708936,
      "fos_buckling": 0.998036093651844,
      "fos_yielding": 12.493089046306848,
      "deflection": 0.007457276917050285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3163",
      "improvement_over_parent": null
    },
    "node_3165": {
      "node_id": "node_3165",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.27174226971,
      "fos_buckling": 1.5376821545766828,
      "fos_yielding": 14.27010815246014,
      "deflection": 0.005954087182694115,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3164",
      "improvement_over_parent": null
    },
    "node_3166": {
      "node_id": "node_3166",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3165",
      "improvement_over_parent": null
    },
    "node_3167": {
      "node_id": "node_3167",
      "content": "INITIAL DESIGN (Trace 468)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n\nPerformance:\n  Mass: 387.35 kg\n  Factor of Safety: 0.90\n  Max Deflection: 8.36e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 387.34805142707825,
      "fos_buckling": 0.8964669835194738,
      "fos_yielding": 9.217429786867736,
      "deflection": 0.008364940908612698,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3168": {
      "node_id": "node_3168",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0080)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0051)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0044)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 445.28 kg\n  Factor of Safety: 1.01\n  Max Deflection: 7.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.2829578937309,
      "fos_buckling": 1.0143440837746578,
      "fos_yielding": 10.547565597486566,
      "deflection": 0.007302114062943385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_3167",
      "improvement_over_parent": null
    },
    "node_3169": {
      "node_id": "node_3169",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 542.25 kg\n  Factor of Safety: 1.20\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 542.2498367113428,
      "fos_buckling": 1.2028016065933813,
      "fos_yielding": 12.752011452487578,
      "deflection": 0.006031338614054766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_3168",
      "improvement_over_parent": null
    },
    "node_3170": {
      "node_id": "node_3170",
      "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.84 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8353382904951,
      "fos_buckling": 1.5367147152953826,
      "fos_yielding": 14.258033623949025,
      "deflection": 0.005958711229288647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.650)"
      },
      "parent_node_id": "node_3169",
      "improvement_over_parent": null
    },
    "node_3171": {
      "node_id": "node_3171",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3170",
      "improvement_over_parent": null
    },
    "node_3172": {
      "node_id": "node_3172",
      "content": "INITIAL DESIGN (Trace 469)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0040)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0022)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0022)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0040)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 258.38 kg\n  Factor of Safety: 0.67\n  Max Deflection: 1.28e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.37585685427894,
      "fos_buckling": 0.6721297562138101,
      "fos_yielding": 5.070446470278061,
      "deflection": 0.01278516506343929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3173": {
      "node_id": "node_3173",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0054)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0029)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0034)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0053)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0060)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 338.20 kg\n  Factor of Safety: 0.87\n  Max Deflection: 9.81e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 338.2012139240332,
      "fos_buckling": 0.8678434826199284,
      "fos_yielding": 6.670189243521571,
      "deflection": 0.009808587046568618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_3172",
      "improvement_over_parent": null
    },
    "node_3174": {
      "node_id": "node_3174",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0078)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 430.82 kg\n  Factor of Safety: 1.09\n  Max Deflection: 7.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 430.81572974582775,
      "fos_buckling": 1.087694374845313,
      "fos_yielding": 8.548245856119816,
      "deflection": 0.007737150236945658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_3173",
      "improvement_over_parent": null
    },
    "node_3175": {
      "node_id": "node_3175",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 515.60 kg\n  Factor of Safety: 1.28\n  Max Deflection: 6.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 515.6037098696995,
      "fos_buckling": 1.2820731055504888,
      "fos_yielding": 10.28996823123555,
      "deflection": 0.006493016577198376,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_3174",
      "improvement_over_parent": null
    },
    "node_3176": {
      "node_id": "node_3176",
      "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 517.13 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 517.1268440541867,
      "fos_buckling": 1.2727785937086111,
      "fos_yielding": 10.215370120438507,
      "deflection": 0.006464383809045454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.206)"
      },
      "parent_node_id": "node_3175",
      "improvement_over_parent": null
    },
    "node_3177": {
      "node_id": "node_3177",
      "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 534.80 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 534.8001795882269,
      "fos_buckling": 1.3277810131132186,
      "fos_yielding": 10.656821661590282,
      "deflection": 0.006207018127588627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.295)"
      },
      "parent_node_id": "node_3176",
      "improvement_over_parent": null
    },
    "node_3178": {
      "node_id": "node_3178",
      "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.35 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.3498083668618,
      "fos_buckling": 1.361414339384922,
      "fos_yielding": 10.926764036442618,
      "deflection": 0.006067365099303711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.176)"
      },
      "parent_node_id": "node_3177",
      "improvement_over_parent": null
    },
    "node_3179": {
      "node_id": "node_3179",
      "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.79 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.7860712801856,
      "fos_buckling": 1.5386454782362688,
      "fos_yielding": 14.282730955524196,
      "deflection": 0.005948900299510036,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.395)"
      },
      "parent_node_id": "node_3178",
      "improvement_over_parent": null
    },
    "node_3180": {
      "node_id": "node_3180",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3179",
      "improvement_over_parent": null
    },
    "node_3181": {
      "node_id": "node_3181",
      "content": "INITIAL DESIGN (Trace 470)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0041)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n\nPerformance:\n  Mass: 237.42 kg\n  Factor of Safety: 0.12\n  Max Deflection: 7.93e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.41574634218034,
      "fos_buckling": 0.1151517107221689,
      "fos_yielding": 0.9044732384287156,
      "deflection": 79303152518003.58,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3182": {
      "node_id": "node_3182",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n\nPerformance:\n  Mass: 270.30 kg\n  Factor of Safety: 0.11\n  Max Deflection: 1.36e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 270.2982087655957,
      "fos_buckling": 0.11297987210659145,
      "fos_yielding": 1.212371753577004,
      "deflection": 136258145890669.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_3181",
      "improvement_over_parent": null
    },
    "node_3183": {
      "node_id": "node_3183",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0073)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n\nPerformance:\n  Mass: 314.77 kg\n  Factor of Safety: 0.36\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": 314.7682318655283,
      "fos_buckling": 0.36288643723864206,
      "fos_yielding": 4.979557813337085,
      "deflection": 0.01666906894829065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006388)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n\nPerformance:\n  Mass: 363.46 kg\n  Factor of Safety: 0.41\n  Max Deflection: 1.45e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 363.4608230999536,
      "fos_buckling": 0.41237523173396773,
      "fos_yielding": 5.72279480820028,
      "deflection": 0.014472229992911242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_3183",
      "improvement_over_parent": null
    },
    "node_3185": {
      "node_id": "node_3185",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 454.32 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 454.32278057050087,
      "fos_buckling": 0.5000328759403664,
      "fos_yielding": 7.090936939002632,
      "deflection": 0.01163150448685036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_3184",
      "improvement_over_parent": null
    },
    "node_3186": {
      "node_id": "node_3186",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 537.72 kg\n  Factor of Safety: 1.48\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 537.7180130038623,
      "fos_buckling": 1.4770296642977432,
      "fos_yielding": 14.629522634054227,
      "deflection": 0.006021097040278331,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3185",
      "improvement_over_parent": null
    },
    "node_3187": {
      "node_id": "node_3187",
      "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4862349286194,
      "fos_buckling": 1.5376164695713304,
      "fos_yielding": 14.278470831250688,
      "deflection": 0.00595171000871301,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.248)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 471)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0047)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 423.49 kg\n  Factor of Safety: 0.93\n  Max Deflection: 8.38e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 423.4933086574057,
      "fos_buckling": 0.92709424366924,
      "fos_yielding": 12.539412393706348,
      "deflection": 0.008377746440814847,
      "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 3 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0064)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 435.66 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 435.6599156960441,
      "fos_buckling": 1.0009667441194046,
      "fos_yielding": 12.529773969314864,
      "deflection": 0.008134099278736644,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.484)"
      },
      "parent_node_id": "node_3189",
      "improvement_over_parent": null
    },
    "node_3191": {
      "node_id": "node_3191",
      "content": "MODIFICATION: Increase 1 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0084)]\n\nPerformance:\n  Mass: 456.32 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 456.31870439616387,
      "fos_buckling": 0.9996620238011114,
      "fos_yielding": 12.51344190755814,
      "deflection": 0.007781344980920988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.550)"
      },
      "parent_node_id": "node_3190",
      "improvement_over_parent": null
    },
    "node_3192": {
      "node_id": "node_3192",
      "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0070)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 473.69 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 473.69292479279267,
      "fos_buckling": 0.9985673729441202,
      "fos_yielding": 12.49973942653768,
      "deflection": 0.007531233610127897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.289)"
      },
      "parent_node_id": "node_3191",
      "improvement_over_parent": null
    },
    "node_3193": {
      "node_id": "node_3193",
      "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 482.09 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.0851342903432,
      "fos_buckling": 0.9980394857319179,
      "fos_yielding": 12.493131507254594,
      "deflection": 0.007458030546046767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.235)"
      },
      "parent_node_id": "node_3192",
      "improvement_over_parent": null
    },
    "node_3194": {
      "node_id": "node_3194",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.22 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2177871829638,
      "fos_buckling": 1.5375949125750326,
      "fos_yielding": 14.26732873289787,
      "deflection": 0.005954888331099189,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3193",
      "improvement_over_parent": null
    },
    "node_3195": {
      "node_id": "node_3195",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3194",
      "improvement_over_parent": null
    },
    "node_3196": {
      "node_id": "node_3196",
      "content": "INITIAL DESIGN (Trace 472)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\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_3197": {
      "node_id": "node_3197",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n\nPerformance:\n  Mass: 355.60 kg\n  Factor of Safety: 0.75\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.5974850240482,
      "fos_buckling": 0.7513519311406072,
      "fos_yielding": 9.474956150734087,
      "deflection": 0.011375291285497519,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007214)"
      },
      "parent_node_id": "node_3196",
      "improvement_over_parent": null
    },
    "node_3198": {
      "node_id": "node_3198",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0082)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0052)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0072)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n\nPerformance:\n  Mass: 409.73 kg\n  Factor of Safety: 0.75\n  Max Deflection: 9.35e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 409.73042528345815,
      "fos_buckling": 0.7487782815945061,
      "fos_yielding": 9.442501031387225,
      "deflection": 0.009351212787143225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007886)"
      },
      "parent_node_id": "node_3197",
      "improvement_over_parent": null
    },
    "node_3199": {
      "node_id": "node_3199",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 485.65 kg\n  Factor of Safety: 0.87\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.6512375696566,
      "fos_buckling": 0.8651664968013231,
      "fos_yielding": 11.16564009960382,
      "deflection": 0.007921203261607678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 533.25 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.2540020301595,
      "fos_buckling": 1.385161348143386,
      "fos_yielding": 13.826930544888585,
      "deflection": 0.006136593086605508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3199",
      "improvement_over_parent": null
    },
    "node_3201": {
      "node_id": "node_3201",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0130)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 548.48 kg\n  Factor of Safety: 1.39\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 548.4794155619569,
      "fos_buckling": 1.386540401591934,
      "fos_yielding": 14.219813756172176,
      "deflection": 0.005974284495257912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.205)"
      },
      "parent_node_id": "node_3200",
      "improvement_over_parent": null
    },
    "node_3202": {
      "node_id": "node_3202",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3201",
      "improvement_over_parent": null
    },
    "node_3203": {
      "node_id": "node_3203",
      "content": "INITIAL DESIGN (Trace 473)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_3204": {
      "node_id": "node_3204",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 463.75 kg\n  Factor of Safety: 1.00\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": 463.7505362668786,
      "fos_buckling": 0.9991934927305837,
      "fos_yielding": 12.50757698902233,
      "deflection": 0.007771476566805285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3203",
      "improvement_over_parent": null
    },
    "node_3205": {
      "node_id": "node_3205",
      "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 482.15 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.14621019927563,
      "fos_buckling": 0.9980356459775361,
      "fos_yielding": 12.493083442466439,
      "deflection": 0.007457276951446059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.464)"
      },
      "parent_node_id": "node_3204",
      "improvement_over_parent": null
    },
    "node_3206": {
      "node_id": "node_3206",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2788630918963,
      "fos_buckling": 1.5377018738367698,
      "fos_yielding": 14.269851179937117,
      "deflection": 0.005954042660423153,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3205",
      "improvement_over_parent": null
    },
    "node_3207": {
      "node_id": "node_3207",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3206",
      "improvement_over_parent": null
    },
    "node_3208": {
      "node_id": "node_3208",
      "content": "INITIAL DESIGN (Trace 474)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0064)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 251.18 kg\n  Factor of Safety: 0.55\n  Max Deflection: 3.44e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.1794545760549,
      "fos_buckling": 0.5530801401175961,
      "fos_yielding": 6.3111446750225095,
      "deflection": 34415209995973.605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3209": {
      "node_id": "node_3209",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 280.27 kg\n  Factor of Safety: 0.35\n  Max Deflection: 4.22e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 280.2715567396196,
      "fos_buckling": 0.35370052848047295,
      "fos_yielding": 3.842599884495889,
      "deflection": 42159971814383.5,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_3208",
      "improvement_over_parent": null
    },
    "node_3210": {
      "node_id": "node_3210",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 344.48 kg\n  Factor of Safety: 0.81\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 344.47671033487984,
      "fos_buckling": 0.8073114495997259,
      "fos_yielding": 9.706382844350546,
      "deflection": 0.01187619862766017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008145)"
      },
      "parent_node_id": "node_3209",
      "improvement_over_parent": null
    },
    "node_3211": {
      "node_id": "node_3211",
      "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 381.12 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.67e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 381.12371172805797,
      "fos_buckling": 0.8054356885383329,
      "fos_yielding": 9.683830389538425,
      "deflection": 0.009669137785300387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006534)"
      },
      "parent_node_id": "node_3210",
      "improvement_over_parent": null
    },
    "node_3212": {
      "node_id": "node_3212",
      "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0033)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0059)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 384.06 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.0551126351109,
      "fos_buckling": 0.8054356885383329,
      "fos_yielding": 9.683830389538427,
      "deflection": 0.009618503532601437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.437)"
      },
      "parent_node_id": "node_3211",
      "improvement_over_parent": null
    },
    "node_3213": {
      "node_id": "node_3213",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0078)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 498.74 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 498.74309464431985,
      "fos_buckling": 0.9973952693258334,
      "fos_yielding": 12.489171005551139,
      "deflection": 0.007456227783695009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_3212",
      "improvement_over_parent": null
    },
    "node_3214": {
      "node_id": "node_3214",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0078)]\n  M5: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.35 kg\n  Factor of Safety: 1.32\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.3458591048228,
      "fos_buckling": 1.3194771216043617,
      "fos_yielding": 10.55347413615829,
      "deflection": 0.006050183291653853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3213",
      "improvement_over_parent": null
    },
    "node_3215": {
      "node_id": "node_3215",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3214",
      "improvement_over_parent": null
    },
    "node_3216": {
      "node_id": "node_3216",
      "content": "INITIAL DESIGN (Trace 475)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 250.78 kg\n  Factor of Safety: 0.46\n  Max Deflection: 1.92e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.7765661899887,
      "fos_buckling": 0.4606578779515211,
      "fos_yielding": 3.6178929537148625,
      "deflection": 19224247298641.766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3217": {
      "node_id": "node_3217",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0058)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0056)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n\nPerformance:\n  Mass: 301.54 kg\n  Factor of Safety: 0.66\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": 301.5403113371786,
      "fos_buckling": 0.6576604787550983,
      "fos_yielding": 7.6893088468592605,
      "deflection": 0.012227080604348694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006346)"
      },
      "parent_node_id": "node_3216",
      "improvement_over_parent": null
    },
    "node_3218": {
      "node_id": "node_3218",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0023)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 339.88 kg\n  Factor of Safety: 0.73\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": 339.88456993237276,
      "fos_buckling": 0.7298322015738163,
      "fos_yielding": 8.645828728708072,
      "deflection": 0.010873545900672958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_3217",
      "improvement_over_parent": null
    },
    "node_3219": {
      "node_id": "node_3219",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 383.04 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.67e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 383.038657466233,
      "fos_buckling": 0.8080407906495386,
      "fos_yielding": 9.716724056464646,
      "deflection": 0.009674323556360024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_3218",
      "improvement_over_parent": null
    },
    "node_3220": {
      "node_id": "node_3220",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 419.83 kg\n  Factor of Safety: 1.01\n  Max Deflection: 7.72e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 419.8269126458503,
      "fos_buckling": 1.0147880664342386,
      "fos_yielding": 10.556791187974774,
      "deflection": 0.007723162875043422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006561)"
      },
      "parent_node_id": "node_3219",
      "improvement_over_parent": null
    },
    "node_3221": {
      "node_id": "node_3221",
      "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0110)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n\nPerformance:\n  Mass: 443.74 kg\n  Factor of Safety: 1.02\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 443.74228868324843,
      "fos_buckling": 1.018379106142221,
      "fos_yielding": 10.59414860042258,
      "deflection": 0.007546961969037927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.538)"
      },
      "parent_node_id": "node_3220",
      "improvement_over_parent": null
    },
    "node_3222": {
      "node_id": "node_3222",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0030)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0124)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n\nPerformance:\n  Mass: 494.62 kg\n  Factor of Safety: 1.12\n  Max Deflection: 6.79e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 494.61538883550566,
      "fos_buckling": 1.1196921959333341,
      "fos_yielding": 11.7674798880976,
      "deflection": 0.006787716491056735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_3221",
      "improvement_over_parent": null
    },
    "node_3223": {
      "node_id": "node_3223",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0146)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 573.11 kg\n  Factor of Safety: 1.27\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 573.1087898292598,
      "fos_buckling": 1.2701754968618333,
      "fos_yielding": 13.566030012711717,
      "deflection": 0.005880394744737681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_3222",
      "improvement_over_parent": null
    },
    "node_3224": {
      "node_id": "node_3224",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3223",
      "improvement_over_parent": null
    },
    "node_3225": {
      "node_id": "node_3225",
      "content": "INITIAL DESIGN (Trace 476)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\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_3226": {
      "node_id": "node_3226",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 334.25 kg\n  Factor of Safety: 0.43\n  Max Deflection: 2.35e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 334.24887204379013,
      "fos_buckling": 0.4302920486083999,
      "fos_yielding": 3.6178929537148616,
      "deflection": 23485922282735.75,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3225",
      "improvement_over_parent": null
    },
    "node_3227": {
      "node_id": "node_3227",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 381.85 kg\n  Factor of Safety: 0.86\n  Max Deflection: 2.68e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 381.8516365042931,
      "fos_buckling": 0.8565209360150806,
      "fos_yielding": 3.6178929537148616,
      "deflection": 26823070338018.207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 465.25 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 465.24686893765454,
      "fos_buckling": 0.9990698834921462,
      "fos_yielding": 12.506396805114699,
      "deflection": 0.007685905708812008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3227",
      "improvement_over_parent": null
    },
    "node_3229": {
      "node_id": "node_3229",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 529.38 kg\n  Factor of Safety: 1.34\n  Max Deflection: 6.20e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 529.3795218302752,
      "fos_buckling": 1.3384197858281484,
      "fos_yielding": 13.675822674259477,
      "deflection": 0.006201229695145584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3228",
      "improvement_over_parent": null
    },
    "node_3230": {
      "node_id": "node_3230",
      "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M3: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0121)]\n\nPerformance:\n  Mass: 545.19 kg\n  Factor of Safety: 1.33\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 545.1920628972384,
      "fos_buckling": 1.334934489609472,
      "fos_yielding": 13.348682097717695,
      "deflection": 0.00612288994080541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.279)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 477)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 329.56 kg\n  Factor of Safety: 0.22\n  Max Deflection: 5.72e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 329.55841454282324,
      "fos_buckling": 0.21514602430419996,
      "fos_yielding": 1.8089464768574308,
      "deflection": 57182620302581.45,
      "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 4 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0062)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 377.16 kg\n  Factor of Safety: 0.60\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": 377.1611790033262,
      "fos_buckling": 0.5963125995721478,
      "fos_yielding": 7.113243974585046,
      "deflection": 0.013294677462994158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3232",
      "improvement_over_parent": null
    },
    "node_3234": {
      "node_id": "node_3234",
      "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 398.74 kg\n  Factor of Safety: 0.60\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": 398.7356385712993,
      "fos_buckling": 0.5954979185854433,
      "fos_yielding": 7.10367300102497,
      "deflection": 0.012199801495263179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.587)"
      },
      "parent_node_id": "node_3233",
      "improvement_over_parent": null
    },
    "node_3235": {
      "node_id": "node_3235",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 470.14 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.61e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 470.1443250471824,
      "fos_buckling": 0.9987907551791924,
      "fos_yielding": 12.499891450755111,
      "deflection": 0.007611016105403729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009133)"
      },
      "parent_node_id": "node_3234",
      "improvement_over_parent": null
    },
    "node_3236": {
      "node_id": "node_3236",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 534.28 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 534.276977939803,
      "fos_buckling": 1.3982308693517727,
      "fos_yielding": 13.865265092706009,
      "deflection": 0.006120118926803084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3235",
      "improvement_over_parent": null
    },
    "node_3237": {
      "node_id": "node_3237",
      "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0112)]\n\nPerformance:\n  Mass: 544.86 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 544.8633841039938,
      "fos_buckling": 1.395698898027102,
      "fos_yielding": 13.625571751304117,
      "deflection": 0.006064403435947215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.185)"
      },
      "parent_node_id": "node_3236",
      "improvement_over_parent": null
    },
    "node_3238": {
      "node_id": "node_3238",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3237",
      "improvement_over_parent": null
    },
    "node_3239": {
      "node_id": "node_3239",
      "content": "INITIAL DESIGN (Trace 478)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 334.33 kg\n  Factor of Safety: 0.08\n  Max Deflection: 1.03e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 334.3295256101119,
      "fos_buckling": 0.08418886843931432,
      "fos_yielding": 0.8684495572162588,
      "deflection": 102935822798039.23,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3240": {
      "node_id": "node_3240",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 386.06 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.39e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 386.0615420500956,
      "fos_buckling": 0.31238272999147665,
      "fos_yielding": 3.276465131098752,
      "deflection": 139004401246835.42,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3239",
      "improvement_over_parent": null
    },
    "node_3241": {
      "node_id": "node_3241",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 469.46 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.4567744834571,
      "fos_buckling": 1.000256085601827,
      "fos_yielding": 12.52254252494279,
      "deflection": 0.009045271590293233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3240",
      "improvement_over_parent": null
    },
    "node_3242": {
      "node_id": "node_3242",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 533.59 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.5894273760777,
      "fos_buckling": 1.0117108645758475,
      "fos_yielding": 12.671824215824287,
      "deflection": 0.009045294172546285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3241",
      "improvement_over_parent": null
    },
    "node_3243": {
      "node_id": "node_3243",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5589468856325,
      "fos_buckling": 1.5378178443135817,
      "fos_yielding": 14.270937509588862,
      "deflection": 0.005951119468066571,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_3242",
      "improvement_over_parent": null
    },
    "node_3244": {
      "node_id": "node_3244",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3243",
      "improvement_over_parent": null
    },
    "node_3245": {
      "node_id": "node_3245",
      "content": "INITIAL DESIGN (Trace 479)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0038)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0021)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0024)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0036)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n\nPerformance:\n  Mass: 179.58 kg\n  Factor of Safety: 0.18\n  Max Deflection: 3.06e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.58448237321664,
      "fos_buckling": 0.17769311399802964,
      "fos_yielding": 2.543189691586051,
      "deflection": 0.03056386653125011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3246": {
      "node_id": "node_3246",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0027)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 226.27 kg\n  Factor of Safety: 0.22\n  Max Deflection: 2.43e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.27397869671006,
      "fos_buckling": 0.22148041300101612,
      "fos_yielding": 3.204821694903809,
      "deflection": 0.024304614893612554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_3245",
      "improvement_over_parent": null
    },
    "node_3247": {
      "node_id": "node_3247",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0033)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 278.24 kg\n  Factor of Safety: 0.27\n  Max Deflection: 1.98e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 278.24412469855986,
      "fos_buckling": 0.2690609141668494,
      "fos_yielding": 3.942017895746379,
      "deflection": 0.019807139123966838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_3246",
      "improvement_over_parent": null
    },
    "node_3248": {
      "node_id": "node_3248",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0044)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 360.22 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.53e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 360.2185907645263,
      "fos_buckling": 0.3416425497581479,
      "fos_yielding": 5.107238293135809,
      "deflection": 0.01534969376054108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_3247",
      "improvement_over_parent": null
    },
    "node_3249": {
      "node_id": "node_3249",
      "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 373.54 kg\n  Factor of Safety: 0.50\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 373.542763863138,
      "fos_buckling": 0.4982093814238626,
      "fos_yielding": 5.75777099743656,
      "deflection": 0.013594269160614316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.570)"
      },
      "parent_node_id": "node_3248",
      "improvement_over_parent": null
    },
    "node_3250": {
      "node_id": "node_3250",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0086)]\n\nPerformance:\n  Mass: 440.85 kg\n  Factor of Safety: 1.29\n  Max Deflection: 7.33e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.8475060353149,
      "fos_buckling": 1.292229589813268,
      "fos_yielding": 11.48871478510018,
      "deflection": 0.007331366620453687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008568)"
      },
      "parent_node_id": "node_3249",
      "improvement_over_parent": null
    },
    "node_3251": {
      "node_id": "node_3251",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4422906769569,
      "fos_buckling": 1.537989368100754,
      "fos_yielding": 14.272893545464603,
      "deflection": 0.005952391143847367,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_3250",
      "improvement_over_parent": null
    },
    "node_3252": {
      "node_id": "node_3252",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3251",
      "improvement_over_parent": null
    },
    "node_3253": {
      "node_id": "node_3253",
      "content": "INITIAL DESIGN (Trace 480)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0050)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 273.32 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.53e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 273.3175202889894,
      "fos_buckling": 0.2276587451761559,
      "fos_yielding": 1.8089464768574308,
      "deflection": 45327891704762.51,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3254": {
      "node_id": "node_3254",
      "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 281.37 kg\n  Factor of Safety: 0.75\n  Max Deflection: 2.08e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 281.3652051427256,
      "fos_buckling": 0.7487446425240254,
      "fos_yielding": 8.829593917731742,
      "deflection": 20791802905462.242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.241)"
      },
      "parent_node_id": "node_3253",
      "improvement_over_parent": null
    },
    "node_3255": {
      "node_id": "node_3255",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n\nPerformance:\n  Mass: 337.87 kg\n  Factor of Safety: 0.72\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": 337.8660181469011,
      "fos_buckling": 0.7219449504366995,
      "fos_yielding": 8.540348912741852,
      "deflection": 0.010906765448649781,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007107)"
      },
      "parent_node_id": "node_3254",
      "improvement_over_parent": null
    },
    "node_3256": {
      "node_id": "node_3256",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0065)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0062)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0057)]\n\nPerformance:\n  Mass: 370.11 kg\n  Factor of Safety: 1.11\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 370.1139104501539,
      "fos_buckling": 1.1141314424841031,
      "fos_yielding": 9.630581186521852,
      "deflection": 0.00869524831811599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005701)"
      },
      "parent_node_id": "node_3255",
      "improvement_over_parent": null
    },
    "node_3257": {
      "node_id": "node_3257",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0092)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n\nPerformance:\n  Mass: 469.43 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 469.4267689529414,
      "fos_buckling": 1.3611066463557677,
      "fos_yielding": 12.240804550329141,
      "deflection": 0.006896983074798428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_3256",
      "improvement_over_parent": null
    },
    "node_3258": {
      "node_id": "node_3258",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 545.93 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.9250717541939,
      "fos_buckling": 1.5368416431957859,
      "fos_yielding": 14.258999878294006,
      "deflection": 0.005957903260920176,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_3257",
      "improvement_over_parent": null
    },
    "node_3259": {
      "node_id": "node_3259",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3258",
      "improvement_over_parent": null
    },
    "node_3260": {
      "node_id": "node_3260",
      "content": "INITIAL DESIGN (Trace 481)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\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_3261": {
      "node_id": "node_3261",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 394.62 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.82e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 394.6226211567715,
      "fos_buckling": 0.45497827151273706,
      "fos_yielding": 3.6178929537148625,
      "deflection": 28192972271492.58,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3260",
      "improvement_over_parent": null
    },
    "node_3262": {
      "node_id": "node_3262",
      "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0082)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 398.89 kg\n  Factor of Safety: 0.45\n  Max Deflection: 2.82e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 398.8867400924403,
      "fos_buckling": 0.45497827151273706,
      "fos_yielding": 3.6178929537148625,
      "deflection": 28192972271492.58,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.513)"
      },
      "parent_node_id": "node_3261",
      "improvement_over_parent": null
    },
    "node_3263": {
      "node_id": "node_3263",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0082)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 463.02 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 463.0193929850609,
      "fos_buckling": 0.593397620157011,
      "fos_yielding": 5.287116245612449,
      "deflection": 0.01127798709276894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3262",
      "improvement_over_parent": null
    },
    "node_3264": {
      "node_id": "node_3264",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0082)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.41 kg\n  Factor of Safety: 1.27\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 546.4146254184224,
      "fos_buckling": 1.2719620063814072,
      "fos_yielding": 10.114378352574766,
      "deflection": 0.006069661610085229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3263",
      "improvement_over_parent": null
    },
    "node_3265": {
      "node_id": "node_3265",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3264",
      "improvement_over_parent": null
    },
    "node_3266": {
      "node_id": "node_3266",
      "content": "INITIAL DESIGN (Trace 482)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 354.18 kg\n  Factor of Safety: 0.88\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": 354.1822549819588,
      "fos_buckling": 0.8789237469425758,
      "fos_yielding": 10.713819589414465,
      "deflection": 0.01072224873892673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3267": {
      "node_id": "node_3267",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 355.65 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 355.64873045414123,
      "fos_buckling": 0.8789237469425758,
      "fos_yielding": 10.713819589414465,
      "deflection": 0.01072224873892673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.235)"
      },
      "parent_node_id": "node_3266",
      "improvement_over_parent": null
    },
    "node_3268": {
      "node_id": "node_3268",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n\nPerformance:\n  Mass: 410.21 kg\n  Factor of Safety: 0.88\n  Max Deflection: 8.73e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.2134082546566,
      "fos_buckling": 0.8758891903106308,
      "fos_yielding": 10.676829244800821,
      "deflection": 0.008726063676823567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007954)"
      },
      "parent_node_id": "node_3267",
      "improvement_over_parent": null
    },
    "node_3269": {
      "node_id": "node_3269",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 482.29 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.2889941727182,
      "fos_buckling": 0.9982601434729066,
      "fos_yielding": 12.49653516471179,
      "deflection": 0.007455213514838073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_3268",
      "improvement_over_parent": null
    },
    "node_3270": {
      "node_id": "node_3270",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4216470653388,
      "fos_buckling": 1.5380360714580368,
      "fos_yielding": 14.274090375231891,
      "deflection": 0.005952422684151502,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 483)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0074)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0071)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0081)]\n\nPerformance:\n  Mass: 373.20 kg\n  Factor of Safety: 0.80\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": 373.19793487593137,
      "fos_buckling": 0.8048357098225185,
      "fos_yielding": 9.670709726463745,
      "deflection": 0.01170520294940802,
      "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 all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 486.08 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 486.07565526849953,
      "fos_buckling": 0.9992239787075557,
      "fos_yielding": 12.509664225286274,
      "deflection": 0.009015761400883398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_3272",
      "improvement_over_parent": null
    },
    "node_3274": {
      "node_id": "node_3274",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 533.68 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.6784197290025,
      "fos_buckling": 1.0122782613036758,
      "fos_yielding": 12.673095743603795,
      "deflection": 0.009043248426810205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3273",
      "improvement_over_parent": null
    },
    "node_3275": {
      "node_id": "node_3275",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6479392385573,
      "fos_buckling": 1.5384235827905568,
      "fos_yielding": 14.272728014293795,
      "deflection": 0.0059501696031869465,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 484)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 376.07 kg\n  Factor of Safety: 0.60\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": 376.0738064782086,
      "fos_buckling": 0.59635726002152,
      "fos_yielding": 7.114175396101127,
      "deflection": 0.01240948869584074,
      "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 440.21 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 440.2064593708292,
      "fos_buckling": 0.5939415326674828,
      "fos_yielding": 6.002191447113826,
      "deflection": 0.011537346711848704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3277",
      "improvement_over_parent": null
    },
    "node_3279": {
      "node_id": "node_3279",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 457.56 kg\n  Factor of Safety: 0.59\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 457.5556772667454,
      "fos_buckling": 0.5932913877874075,
      "fos_yielding": 5.848653427190075,
      "deflection": 0.011439323667533453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.629)"
      },
      "parent_node_id": "node_3278",
      "improvement_over_parent": null
    },
    "node_3280": {
      "node_id": "node_3280",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 540.95 kg\n  Factor of Safety: 1.40\n  Max Deflection: 6.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 540.9509097001069,
      "fos_buckling": 1.4046822315038783,
      "fos_yielding": 11.313966109759356,
      "deflection": 0.0060941807873161795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)"
      },
      "parent_node_id": "node_3279",
      "improvement_over_parent": null
    },
    "node_3281": {
      "node_id": "node_3281",
      "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0046)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 543.11 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.1057956369402,
      "fos_buckling": 1.3888815960397194,
      "fos_yielding": 11.186700419238898,
      "deflection": 0.006060489027901816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.316)"
      },
      "parent_node_id": "node_3280",
      "improvement_over_parent": null
    },
    "node_3282": {
      "node_id": "node_3282",
      "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2620083660751,
      "fos_buckling": 1.5376575929969465,
      "fos_yielding": 14.269696939319212,
      "deflection": 0.005954160703123626,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.353)"
      },
      "parent_node_id": "node_3281",
      "improvement_over_parent": null
    },
    "node_3283": {
      "node_id": "node_3283",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3282",
      "improvement_over_parent": null
    },
    "node_3284": {
      "node_id": "node_3284",
      "content": "INITIAL DESIGN (Trace 485)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0032)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 260.82 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.82337281174625,
      "fos_buckling": 0.5636839864149246,
      "fos_yielding": 6.480732093015086,
      "deflection": 0.017677182639630716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3285": {
      "node_id": "node_3285",
      "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n\nPerformance:\n  Mass: 270.79 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 270.78848976502104,
      "fos_buckling": 0.5639053261150474,
      "fos_yielding": 6.483276858047649,
      "deflection": 0.01767718263963072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.460)"
      },
      "parent_node_id": "node_3284",
      "improvement_over_parent": null
    },
    "node_3286": {
      "node_id": "node_3286",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0048)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0042)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0026)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0052)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0030)]\n\nPerformance:\n  Mass: 277.37 kg\n  Factor of Safety: 0.86\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 277.37249699339327,
      "fos_buckling": 0.8640055484531095,
      "fos_yielding": 7.202736639905735,
      "deflection": 0.011537134547689846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003044)"
      },
      "parent_node_id": "node_3285",
      "improvement_over_parent": null
    },
    "node_3287": {
      "node_id": "node_3287",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0060)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0038)]\n\nPerformance:\n  Mass: 342.28 kg\n  Factor of Safety: 1.04\n  Max Deflection: 9.39e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 342.28481330496714,
      "fos_buckling": 1.0410973313838043,
      "fos_yielding": 8.900720853941563,
      "deflection": 0.009386222946038848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_3286",
      "improvement_over_parent": null
    },
    "node_3288": {
      "node_id": "node_3288",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0069)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0060)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0038)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0066)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0075)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0044)]\n\nPerformance:\n  Mass: 390.17 kg\n  Factor of Safety: 1.17\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.17482151755286,
      "fos_buckling": 1.1657891572214358,
      "fos_yielding": 10.156463831183231,
      "deflection": 0.008258130905658531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_3287",
      "improvement_over_parent": null
    },
    "node_3289": {
      "node_id": "node_3289",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n\nPerformance:\n  Mass: 490.47 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.61e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 490.4744830091879,
      "fos_buckling": 1.4107522337192673,
      "fos_yielding": 12.79483808538806,
      "deflection": 0.006609322005134849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2660986084497,
      "fos_buckling": 1.5376439957231176,
      "fos_yielding": 14.267362147359405,
      "deflection": 0.005954241290373167,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 486)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0061)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 453.31 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.95e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 453.30539396069423,
      "fos_buckling": 1.000671109860953,
      "fos_yielding": 8.629149909971785,
      "deflection": 0.009954354246728695,
      "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 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 466.43 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.96e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.4313277691309,
      "fos_buckling": 0.9998422277331354,
      "fos_yielding": 8.622002158759464,
      "deflection": 0.009962718051416406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.418)"
      },
      "parent_node_id": "node_3292",
      "improvement_over_parent": null
    },
    "node_3294": {
      "node_id": "node_3294",
      "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 485.67 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 485.67220706176613,
      "fos_buckling": 0.9986296751348841,
      "fos_yielding": 12.498148267817736,
      "deflection": 0.00902286579506451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.495)"
      },
      "parent_node_id": "node_3293",
      "improvement_over_parent": null
    },
    "node_3295": {
      "node_id": "node_3295",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 533.27 kg\n  Factor of Safety: 1.01\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.2749715222691,
      "fos_buckling": 1.011646336077521,
      "fos_yielding": 12.661513247871381,
      "deflection": 0.009050368501222273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3294",
      "improvement_over_parent": null
    },
    "node_3296": {
      "node_id": "node_3296",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 546.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2444910318239,
      "fos_buckling": 1.5376074379024631,
      "fos_yielding": 14.270571796850607,
      "deflection": 0.005954348643359047,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 487)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\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_3299": {
      "node_id": "node_3299",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 471.71 kg\n  Factor of Safety: 1.00\n  Max Deflection: 9.63e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.71248364921973,
      "fos_buckling": 0.9995091182849448,
      "fos_yielding": 9.682127657218969,
      "deflection": 0.009631119196905303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3298",
      "improvement_over_parent": null
    },
    "node_3300": {
      "node_id": "node_3300",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n\nPerformance:\n  Mass: 484.68 kg\n  Factor of Safety: 1.00\n  Max Deflection: 8.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 484.6820031587746,
      "fos_buckling": 0.9978762278361949,
      "fos_yielding": 9.666310038864285,
      "deflection": 0.00806636343328788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)"
      },
      "parent_node_id": "node_3299",
      "improvement_over_parent": null
    },
    "node_3301": {
      "node_id": "node_3301",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 532.28 kg\n  Factor of Safety: 1.53\n  Max Deflection: 6.19e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 532.2847676192775,
      "fos_buckling": 1.5344720981005011,
      "fos_yielding": 13.666102711204122,
      "deflection": 0.006193387699117537,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "parent_node_id": "node_3300",
      "improvement_over_parent": null
    },
    "node_3302": {
      "node_id": "node_3302",
      "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2898300364192,
      "fos_buckling": 1.53766408553899,
      "fos_yielding": 14.270593472974342,
      "deflection": 0.005953886353392846,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.321)"
      },
      "parent_node_id": "node_3301",
      "improvement_over_parent": null
    },
    "node_3303": {
      "node_id": "node_3303",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3302",
      "improvement_over_parent": null
    },
    "node_3304": {
      "node_id": "node_3304",
      "content": "INITIAL DESIGN (Trace 488)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0045)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0039)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0029)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0025)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0041)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0049)]\n\nPerformance:\n  Mass: 254.11 kg\n  Factor of Safety: 0.72\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.10863920624405,
      "fos_buckling": 0.7215001661699683,
      "fos_yielding": 6.548668248705128,
      "deflection": 0.012665152593522357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3305": {
      "node_id": "node_3305",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0052)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0057)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 329.87 kg\n  Factor of Safety: 0.92\n  Max Deflection: 9.80e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 329.8661329217146,
      "fos_buckling": 0.9152772873147608,
      "fos_yielding": 8.515520626839633,
      "deflection": 0.009800389790495623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_3304",
      "improvement_over_parent": null
    },
    "node_3306": {
      "node_id": "node_3306",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0078)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0071)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0075)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 428.60 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.59e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 428.5973193288347,
      "fos_buckling": 1.1533748918466564,
      "fos_yielding": 11.08902500926502,
      "deflection": 0.0075867780837777935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_3305",
      "improvement_over_parent": null
    },
    "node_3307": {
      "node_id": "node_3307",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0090)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 533.07 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 533.0708062797129,
      "fos_buckling": 1.3877062296538618,
      "fos_yielding": 13.824959691425706,
      "deflection": 0.006137240143473222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_3306",
      "improvement_over_parent": null
    },
    "node_3308": {
      "node_id": "node_3308",
      "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 545.85 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 545.8547092087821,
      "fos_buckling": 1.5367515057470562,
      "fos_yielding": 14.258749042215227,
      "deflection": 0.00595850305219811,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.199)"
      },
      "parent_node_id": "node_3307",
      "improvement_over_parent": null
    },
    "node_3309": {
      "node_id": "node_3309",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3308",
      "improvement_over_parent": null
    },
    "node_3310": {
      "node_id": "node_3310",
      "content": "INITIAL DESIGN (Trace 489)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0039)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 188.21 kg\n  Factor of Safety: 0.66\n  Max Deflection: 6.46e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.21093279096038,
      "fos_buckling": 0.6624614736359901,
      "fos_yielding": 2.6119158508005524,
      "deflection": 64627720371569.35,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3311": {
      "node_id": "node_3311",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 198.57 kg\n  Factor of Safety: 0.23\n  Max Deflection: 4.55e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.56559209567914,
      "fos_buckling": 0.2307298606370732,
      "fos_yielding": 1.8089464768574313,
      "deflection": 45501259789205.086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.389)"
      },
      "parent_node_id": "node_3310",
      "improvement_over_parent": null
    },
    "node_3312": {
      "node_id": "node_3312",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 228.48 kg\n  Factor of Safety: 0.23\n  Max Deflection: 3.52e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.47757051259762,
      "fos_buckling": 0.22723305742358985,
      "fos_yielding": 1.8089464768574308,
      "deflection": 35218553076123.84,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_3311",
      "improvement_over_parent": null
    },
    "node_3313": {
      "node_id": "node_3313",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 285.91 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.76e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 285.9060911507785,
      "fos_buckling": 0.4360410502660535,
      "fos_yielding": 4.948096506917912,
      "deflection": 0.017590556107300693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007231)"
      },
      "parent_node_id": "node_3312",
      "improvement_over_parent": null
    },
    "node_3314": {
      "node_id": "node_3314",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n\nPerformance:\n  Mass: 318.69 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.59e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 318.68630011640005,
      "fos_buckling": 0.4351314186577996,
      "fos_yielding": 4.937882835754056,
      "deflection": 0.015883144573127315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005801)"
      },
      "parent_node_id": "node_3313",
      "improvement_over_parent": null
    },
    "node_3315": {
      "node_id": "node_3315",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0042)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 376.11 kg\n  Factor of Safety: 1.13\n  Max Deflection: 8.56e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 376.11482075458093,
      "fos_buckling": 1.129824427657179,
      "fos_yielding": 9.789061750455833,
      "deflection": 0.008559345777327114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007231)"
      },
      "parent_node_id": "node_3314",
      "improvement_over_parent": null
    },
    "node_3316": {
      "node_id": "node_3316",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0077)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 489.82 kg\n  Factor of Safety: 1.41\n  Max Deflection: 6.62e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 489.8176226650011,
      "fos_buckling": 1.4093572313136924,
      "fos_yielding": 12.77947891085149,
      "deflection": 0.006617779901578391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_3315",
      "improvement_over_parent": null
    },
    "node_3317": {
      "node_id": "node_3317",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.4248540492338,
      "fos_buckling": 1.5381393886042463,
      "fos_yielding": 14.273712269865,
      "deflection": 0.005952441103885611,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_3316",
      "improvement_over_parent": null
    },
    "node_3318": {
      "node_id": "node_3318",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3317",
      "improvement_over_parent": null
    },
    "node_3319": {
      "node_id": "node_3319",
      "content": "INITIAL DESIGN (Trace 490)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0066)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0072)]\n\nPerformance:\n  Mass: 242.70 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.66e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.7044465068264,
      "fos_buckling": 1.1325731346976806,
      "fos_yielding": 13.371289507775428,
      "deflection": 56604186250664.11,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3320": {
      "node_id": "node_3320",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (7 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n\nPerformance:\n  Mass: 317.00 kg\n  Factor of Safety: 1.11\n  Max Deflection: 2.51e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 316.9960493007735,
      "fos_buckling": 1.1059462805916105,
      "fos_yielding": 3.530407007127482,
      "deflection": 251209257679337.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_3319",
      "improvement_over_parent": null
    },
    "node_3321": {
      "node_id": "node_3321",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 353.43 kg\n  Factor of Safety: 0.06\n  Max Deflection: 3.35e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 353.4283939854847,
      "fos_buckling": 0.05579791246272466,
      "fos_yielding": 0.8684495572162587,
      "deflection": 335135555302312.2,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006493)"
      },
      "parent_node_id": "node_3320",
      "improvement_over_parent": null
    },
    "node_3322": {
      "node_id": "node_3322",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n\nPerformance:\n  Mass: 365.01 kg\n  Factor of Safety: 0.48\n  Max Deflection: 1.41e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 365.00884459780156,
      "fos_buckling": 0.4760422173765677,
      "fos_yielding": 6.376656984806315,
      "deflection": 0.014121540962695049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005546)"
      },
      "parent_node_id": "node_3321",
      "improvement_over_parent": null
    },
    "node_3323": {
      "node_id": "node_3323",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 426.97 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.60e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 426.97207837807025,
      "fos_buckling": 0.9121539108494234,
      "fos_yielding": 11.203242678404708,
      "deflection": 0.008604199599485166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007841)"
      },
      "parent_node_id": "node_3322",
      "improvement_over_parent": null
    },
    "node_3324": {
      "node_id": "node_3324",
      "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0088)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0057)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0084)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0096)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 428.38 kg\n  Factor of Safety: 0.91\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 428.38455280017604,
      "fos_buckling": 0.9121539108494238,
      "fos_yielding": 11.20324267840471,
      "deflection": 0.008580261828913265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.181)"
      },
      "parent_node_id": "node_3323",
      "improvement_over_parent": null
    },
    "node_3325": {
      "node_id": "node_3325",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0064)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 479.64 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.69e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.6405761705168,
      "fos_buckling": 0.998466344396047,
      "fos_yielding": 12.498955271539401,
      "deflection": 0.007687485312463151,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_3324",
      "improvement_over_parent": null
    },
    "node_3326": {
      "node_id": "node_3326",
      "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0064)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n\nPerformance:\n  Mass: 495.96 kg\n  Factor of Safety: 1.15\n  Max Deflection: 7.29e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 495.95614956460366,
      "fos_buckling": 1.1504617213386528,
      "fos_yielding": 12.486119348469673,
      "deflection": 0.007286016417620864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.220)"
      },
      "parent_node_id": "node_3325",
      "improvement_over_parent": null
    },
    "node_3327": {
      "node_id": "node_3327",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0064)]\n  M3: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M5: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M6: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0132)]\n  M7: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M8: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M9: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0089)]\n  M10: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 543.56 kg\n  Factor of Safety: 1.36\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.5589140251067,
      "fos_buckling": 1.357562832527052,
      "fos_yielding": 14.38551052477493,
      "deflection": 0.006018231036058585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 9,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 491)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0063)]\n\nPerformance:\n  Mass: 337.23 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.21e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 337.22900289256904,
      "fos_buckling": 0.3370481687090681,
      "fos_yielding": 2.9378541561588007,
      "deflection": 22109545134659.15,
      "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 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (8 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n\nPerformance:\n  Mass: 348.99 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.35e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 348.9857944471682,
      "fos_buckling": 0.22073338584627303,
      "fos_yielding": 2.4391804263423613,
      "deflection": 43493942670279.82,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.290)"
      },
      "parent_node_id": "node_3329",
      "improvement_over_parent": null
    },
    "node_3331": {
      "node_id": "node_3331",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n\nPerformance:\n  Mass: 390.28 kg\n  Factor of Safety: 0.45\n  Max Deflection: 3.64e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 390.2807138643922,
      "fos_buckling": 0.45239833457769113,
      "fos_yielding": 5.530851021918965,
      "deflection": 0.03641909217367605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007431)"
      },
      "parent_node_id": "node_3330",
      "improvement_over_parent": null
    },
    "node_3332": {
      "node_id": "node_3332",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n\nPerformance:\n  Mass: 401.53 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 401.5316092183612,
      "fos_buckling": 0.5288113810739622,
      "fos_yielding": 6.173642525321003,
      "deflection": 0.012669949607342369,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005375)"
      },
      "parent_node_id": "node_3331",
      "improvement_over_parent": null
    },
    "node_3333": {
      "node_id": "node_3333",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0085)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0081)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0074)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0054)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0093)]\n\nPerformance:\n  Mass: 473.88 kg\n  Factor of Safety: 1.37\n  Max Deflection: 6.83e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 473.87871212272415,
      "fos_buckling": 1.3716823443971375,
      "fos_yielding": 12.36085209220428,
      "deflection": 0.0068336995740745235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009263)"
      },
      "parent_node_id": "node_3332",
      "improvement_over_parent": null
    },
    "node_3334": {
      "node_id": "node_3334",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M6: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M9: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.35 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.3452945353301,
      "fos_buckling": 1.5377744528588764,
      "fos_yielding": 14.273263270377843,
      "deflection": 0.0059531937389200075,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 492)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0020)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 263.74 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 263.7354224492201,
      "fos_buckling": 0.3871685316816228,
      "fos_yielding": 4.33502597070051,
      "deflection": 0.018209596433203534,
      "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: Increase 4 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n\nPerformance:\n  Mass: 265.84 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.81e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 265.84095270593303,
      "fos_buckling": 0.38716853168162263,
      "fos_yielding": 4.335025970700508,
      "deflection": 0.01812018514512704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.600)"
      },
      "parent_node_id": "node_3336",
      "improvement_over_parent": null
    },
    "node_3338": {
      "node_id": "node_3338",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0037)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0051)]\n\nPerformance:\n  Mass: 307.43 kg\n  Factor of Safety: 0.90\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 307.4288353652696,
      "fos_buckling": 0.9031773402486832,
      "fos_yielding": 7.751105292654143,
      "deflection": 0.010722625137676007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005149)"
      },
      "parent_node_id": "node_3337",
      "improvement_over_parent": null
    },
    "node_3339": {
      "node_id": "node_3339",
      "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0057)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0050)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0036)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0031)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0063)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0055)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0051)]\n\nPerformance:\n  Mass: 320.07 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 320.0728511668456,
      "fos_buckling": 0.8834111874652382,
      "fos_yielding": 8.253713451441904,
      "deflection": 0.010102910687580709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.541)"
      },
      "parent_node_id": "node_3338",
      "improvement_over_parent": null
    },
    "node_3340": {
      "node_id": "node_3340",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0061)]\n\nPerformance:\n  Mass: 374.62 kg\n  Factor of Safety: 1.02\n  Max Deflection: 8.66e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 374.6183045048584,
      "fos_buckling": 1.0170172945918987,
      "fos_yielding": 9.672263953416458,
      "deflection": 0.008659645249730024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_3339",
      "improvement_over_parent": null
    },
    "node_3341": {
      "node_id": "node_3341",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0068)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 384.61 kg\n  Factor of Safety: 1.15\n  Max Deflection: 8.37e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.60922469113154,
      "fos_buckling": 1.1514816268601349,
      "fos_yielding": 10.012220305936964,
      "deflection": 0.008374513197050163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.218)"
      },
      "parent_node_id": "node_3340",
      "improvement_over_parent": null
    },
    "node_3342": {
      "node_id": "node_3342",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0079)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0069)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0050)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0043)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0076)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0087)]\n\nPerformance:\n  Mass: 445.37 kg\n  Factor of Safety: 1.30\n  Max Deflection: 7.26e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 445.3657909989891,
      "fos_buckling": 1.303196782619807,
      "fos_yielding": 11.608949036770392,
      "deflection": 0.007258712322743196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_3341",
      "improvement_over_parent": null
    },
    "node_3343": {
      "node_id": "node_3343",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.76 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.7557824787493,
      "fos_buckling": 1.5386407930769703,
      "fos_yielding": 14.282837798222072,
      "deflection": 0.005948882695094295,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 493)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0059)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0051)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0032)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0037)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0021)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0038)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0040)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0064)]\n\nPerformance:\n  Mass: 258.72 kg\n  Factor of Safety: 0.39\n  Max Deflection: 2.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.71638923301145,
      "fos_buckling": 0.39452319894785964,
      "fos_yielding": 4.315428625922501,
      "deflection": 0.020440977108843583,
      "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 all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0043)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 295.86 kg\n  Factor of Safety: 0.44\n  Max Deflection: 1.79e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 295.86339255898247,
      "fos_buckling": 0.4431893639609435,
      "fos_yielding": 4.933963354947472,
      "deflection": 0.01790612749796099,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_3345",
      "improvement_over_parent": null
    },
    "node_3347": {
      "node_id": "node_3347",
      "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 310.17 kg\n  Factor of Safety: 0.44\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": 310.1671584352034,
      "fos_buckling": 0.44278577165375244,
      "fos_yielding": 5.035241259774502,
      "deflection": 0.01578738976727786,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.495)"
      },
      "parent_node_id": "node_3346",
      "improvement_over_parent": null
    },
    "node_3348": {
      "node_id": "node_3348",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0067)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0037)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0043)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0024)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0065)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0046)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0074)]\n\nPerformance:\n  Mass: 368.71 kg\n  Factor of Safety: 1.04\n  Max Deflection: 8.66e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 368.7077889993574,
      "fos_buckling": 1.0381339148917526,
      "fos_yielding": 10.60972837779317,
      "deflection": 0.00866271110358799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007380)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 410.06 kg\n  Factor of Safety: 1.14\n  Max Deflection: 7.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 410.0585194072034,
      "fos_buckling": 1.1392629530903804,
      "fos_yielding": 11.803962222496766,
      "deflection": 0.00780913777497379,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_3348",
      "improvement_over_parent": null
    },
    "node_3350": {
      "node_id": "node_3350",
      "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0076)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0066)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0048)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0051)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0116)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0083)]\n\nPerformance:\n  Mass: 434.07 kg\n  Factor of Safety: 1.26\n  Max Deflection: 7.39e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 434.0711775352837,
      "fos_buckling": 1.2648886399460726,
      "fos_yielding": 12.424580126780809,
      "deflection": 0.007389514707781353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.408)"
      },
      "parent_node_id": "node_3349",
      "improvement_over_parent": null
    },
    "node_3351": {
      "node_id": "node_3351",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0152)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 555.51 kg\n  Factor of Safety: 1.55\n  Max Deflection: 5.82e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 555.5143288925481,
      "fos_buckling": 1.547433944235813,
      "fos_yielding": 15.926356971790863,
      "deflection": 0.005815703393182139,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_3350",
      "improvement_over_parent": null
    },
    "node_3352": {
      "node_id": "node_3352",
      "content": "MODIFICATION: Increase 6 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0067)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0152)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 558.59 kg\n  Factor of Safety: 1.55\n  Max Deflection: 5.78e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 558.5922077665829,
      "fos_buckling": 1.5459343538146184,
      "fos_yielding": 15.67143834609181,
      "deflection": 0.0057773541957279176,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.515)"
      },
      "parent_node_id": "node_3351",
      "improvement_over_parent": null
    },
    "node_3353": {
      "node_id": "node_3353",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3352",
      "improvement_over_parent": null
    },
    "node_3354": {
      "node_id": "node_3354",
      "content": "INITIAL DESIGN (Trace 494)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n\nPerformance:\n  Mass: 335.02 kg\n  Factor of Safety: 0.81\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": 335.0188306364281,
      "fos_buckling": 0.808652431582501,
      "fos_yielding": 9.720960280119709,
      "deflection": 0.011826626833402852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3355": {
      "node_id": "node_3355",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n\nPerformance:\n  Mass: 384.47 kg\n  Factor of Safety: 0.81\n  Max Deflection: 9.61e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 384.4663011489429,
      "fos_buckling": 0.806118280537021,
      "fos_yielding": 9.690496782212803,
      "deflection": 0.009612122752901582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007154)"
      },
      "parent_node_id": "node_3354",
      "improvement_over_parent": null
    },
    "node_3356": {
      "node_id": "node_3356",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0075)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0047)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0041)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0082)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0072)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0065)]\n\nPerformance:\n  Mass: 421.17 kg\n  Factor of Safety: 1.24\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": 421.1656285287078,
      "fos_buckling": 1.243827590022266,
      "fos_yielding": 10.972035570907797,
      "deflection": 0.007664773365770142,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006544)"
      },
      "parent_node_id": "node_3355",
      "improvement_over_parent": null
    },
    "node_3357": {
      "node_id": "node_3357",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0086)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0047)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n\nPerformance:\n  Mass: 482.93 kg\n  Factor of Safety: 1.39\n  Max Deflection: 6.71e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 482.92646835176475,
      "fos_buckling": 1.3930966450379894,
      "fos_yielding": 12.597676580628137,
      "deflection": 0.006709513628066817,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_3356",
      "improvement_over_parent": null
    },
    "node_3358": {
      "node_id": "node_3358",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n\nPerformance:\n  Mass: 546.22 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2182623583229,
      "fos_buckling": 1.5375628400595887,
      "fos_yielding": 14.268091146295964,
      "deflection": 0.005954695364527328,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_3357",
      "improvement_over_parent": null
    },
    "node_3359": {
      "node_id": "node_3359",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3358",
      "improvement_over_parent": null
    },
    "node_3360": {
      "node_id": "node_3360",
      "content": "INITIAL DESIGN (Trace 495)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0039)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 301.73 kg\n  Factor of Safety: 0.71\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": 301.7252920045232,
      "fos_buckling": 0.7078912880781888,
      "fos_yielding": 8.35041175152392,
      "deflection": 0.011860410176403583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3361": {
      "node_id": "node_3361",
      "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0063)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0056)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0035)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0069)]\n\nPerformance:\n  Mass: 316.79 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 316.78937094294565,
      "fos_buckling": 0.7072125024602965,
      "fos_yielding": 8.34240467544335,
      "deflection": 0.011207343934307942,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.618)"
      },
      "parent_node_id": "node_3360",
      "improvement_over_parent": null
    },
    "node_3362": {
      "node_id": "node_3362",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0084)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0041)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 410.37 kg\n  Factor of Safety: 0.88\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": 410.37481990341,
      "fos_buckling": 0.8805263713469836,
      "fos_yielding": 10.743098277050116,
      "deflection": 0.008701659110306232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_3361",
      "improvement_over_parent": null
    },
    "node_3363": {
      "node_id": "node_3363",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 479.52 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 479.52264815878743,
      "fos_buckling": 0.9984628768606206,
      "fos_yielding": 12.498698119747463,
      "deflection": 0.007478597242438297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_3362",
      "improvement_over_parent": null
    },
    "node_3364": {
      "node_id": "node_3364",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 543.66 kg\n  Factor of Safety: 1.44\n  Max Deflection: 6.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 543.6553010514081,
      "fos_buckling": 1.4426375259394204,
      "fos_yielding": 11.702146972054203,
      "deflection": 0.006038691911504594,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)"
      },
      "parent_node_id": "node_3363",
      "improvement_over_parent": null
    },
    "node_3365": {
      "node_id": "node_3365",
      "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.283383763991,
      "fos_buckling": 1.5377987171758791,
      "fos_yielding": 14.268996604767858,
      "deflection": 0.005954131002635644,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.279)"
      },
      "parent_node_id": "node_3364",
      "improvement_over_parent": null
    },
    "node_3366": {
      "node_id": "node_3366",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3365",
      "improvement_over_parent": null
    },
    "node_3367": {
      "node_id": "node_3367",
      "content": "INITIAL DESIGN (Trace 496)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (9 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n\nPerformance:\n  Mass: 312.21 kg\n  Factor of Safety: 0.42\n  Max Deflection: 2.10e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 312.2074423191452,
      "fos_buckling": 0.41615111680232014,
      "fos_yielding": 4.403107475891759,
      "deflection": 0.02097317252463144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3368": {
      "node_id": "node_3368",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n\nPerformance:\n  Mass: 386.40 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.36e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 386.40327818562497,
      "fos_buckling": 0.5406820824459687,
      "fos_yielding": 6.346055759755048,
      "deflection": 0.01364297146686277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009520)"
      },
      "parent_node_id": "node_3367",
      "improvement_over_parent": null
    },
    "node_3369": {
      "node_id": "node_3369",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0083)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 433.16 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 433.1577245442524,
      "fos_buckling": 0.9983283622120742,
      "fos_yielding": 12.275851608076726,
      "deflection": 0.007584694024657783,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005820)"
      },
      "parent_node_id": "node_3368",
      "improvement_over_parent": null
    },
    "node_3370": {
      "node_id": "node_3370",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0061)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0113)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 451.44 kg\n  Factor of Safety: 1.00\n  Max Deflection: 7.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 451.4375711003952,
      "fos_buckling": 0.9956908167934835,
      "fos_yielding": 12.155127280733902,
      "deflection": 0.007493514693139807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.359)"
      },
      "parent_node_id": "node_3369",
      "improvement_over_parent": null
    },
    "node_3371": {
      "node_id": "node_3371",
      "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0087)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0076)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0055)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0055)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0048)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0101)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0113)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0095)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0058)]\n\nPerformance:\n  Mass: 476.19 kg\n  Factor of Safety: 1.08\n  Max Deflection: 7.20e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 476.1940001510934,
      "fos_buckling": 1.077660407989969,
      "fos_yielding": 11.465177893996792,
      "deflection": 0.007198158484083517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.637)"
      },
      "parent_node_id": "node_3370",
      "improvement_over_parent": null
    },
    "node_3372": {
      "node_id": "node_3372",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0114)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0129)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 534.93 kg\n  Factor of Safety: 1.20\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": 534.9264111195763,
      "fos_buckling": 1.1954605457126106,
      "fos_yielding": 12.917156703330795,
      "deflection": 0.006423501666866391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_3371",
      "improvement_over_parent": null
    },
    "node_3373": {
      "node_id": "node_3373",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0114)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0129)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 547.44 kg\n  Factor of Safety: 1.19\n  Max Deflection: 6.31e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 547.4374252553674,
      "fos_buckling": 1.191132812385135,
      "fos_yielding": 12.451152839860036,
      "deflection": 0.00630538970299526,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.391)"
      },
      "parent_node_id": "node_3372",
      "improvement_over_parent": null
    },
    "node_3374": {
      "node_id": "node_3374",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3373",
      "improvement_over_parent": null
    },
    "node_3375": {
      "node_id": "node_3375",
      "content": "INITIAL DESIGN (Trace 497)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0077)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0068)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0049)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0042)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0053)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0085)]\n\nPerformance:\n  Mass: 411.06 kg\n  Factor of Safety: 1.22\n  Max Deflection: 7.70e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 411.0565885388097,
      "fos_buckling": 1.2236195741891782,
      "fos_yielding": 12.237816164210738,
      "deflection": 0.007704654538189643,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3376": {
      "node_id": "node_3376",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0074)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 516.03 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 516.0315794899559,
      "fos_buckling": 1.4724410152750387,
      "fos_yielding": 15.359716270518934,
      "deflection": 0.006177779589161901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_3375",
      "improvement_over_parent": null
    },
    "node_3377": {
      "node_id": "node_3377",
      "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 529.05 kg\n  Factor of Safety: 1.47\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 529.0524879052501,
      "fos_buckling": 1.4687625720001247,
      "fos_yielding": 14.877582893937989,
      "deflection": 0.006084343197367236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.280)"
      },
      "parent_node_id": "node_3376",
      "improvement_over_parent": null
    },
    "node_3378": {
      "node_id": "node_3378",
      "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.02 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.0229395923495,
      "fos_buckling": 1.537086490285759,
      "fos_yielding": 14.26522381386999,
      "deflection": 0.005956564155562572,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.395)"
      },
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "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 498)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0059)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 461.87 kg\n  Factor of Safety: 1.08\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 461.87243486384824,
      "fos_buckling": 1.0834002977583799,
      "fos_yielding": 12.408773290237088,
      "deflection": 0.007148727079952674,
      "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 32%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0065)]\n\nPerformance:\n  Mass: 471.76 kg\n  Factor of Safety: 1.13\n  Max Deflection: 7.01e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 471.76318517952876,
      "fos_buckling": 1.125103818802291,
      "fos_yielding": 12.029785438096326,
      "deflection": 0.007014207538666657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.323)"
      },
      "parent_node_id": "node_3380",
      "improvement_over_parent": null
    },
    "node_3382": {
      "node_id": "node_3382",
      "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0089)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0078)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0056)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0049)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0085)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0097)]\n\nPerformance:\n  Mass: 495.27 kg\n  Factor of Safety: 1.42\n  Max Deflection: 6.55e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 495.26969509566095,
      "fos_buckling": 1.4215968449269543,
      "fos_yielding": 12.923661762520243,
      "deflection": 0.00654717786753156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.490)"
      },
      "parent_node_id": "node_3381",
      "improvement_over_parent": null
    },
    "node_3383": {
      "node_id": "node_3383",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.6409380103753,
      "fos_buckling": 1.53813946010949,
      "fos_yielding": 14.279892637868215,
      "deflection": 0.005950253421909707,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_3382",
      "improvement_over_parent": null
    },
    "node_3384": {
      "node_id": "node_3384",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3383",
      "improvement_over_parent": null
    },
    "node_3385": {
      "node_id": "node_3385",
      "content": "INITIAL DESIGN (Trace 499)\n\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0031)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 223.86 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.8562502818683,
      "fos_buckling": 0.33992115487540614,
      "fos_yielding": 3.7528775519604727,
      "deflection": 0.021876993754818812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3386": {
      "node_id": "node_3386",
      "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 235.40 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.09e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.39609907939,
      "fos_buckling": 0.3396702071302693,
      "fos_yielding": 3.7561281666606563,
      "deflection": 0.020939998114311673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.585)"
      },
      "parent_node_id": "node_3385",
      "improvement_over_parent": null
    },
    "node_3387": {
      "node_id": "node_3387",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0041)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0049)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0043)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0031)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0027)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0047)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0054)]\n\nPerformance:\n  Mass: 278.73 kg\n  Factor of Safety: 0.88\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 278.7306519460224,
      "fos_buckling": 0.8808144087767219,
      "fos_yielding": 7.1714332443457804,
      "deflection": 0.011579436005854178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005375)"
      },
      "parent_node_id": "node_3386",
      "improvement_over_parent": null
    },
    "node_3388": {
      "node_id": "node_3388",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0051)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 341.06 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.50e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 341.0574158533401,
      "fos_buckling": 1.0528348385714554,
      "fos_yielding": 8.785824734772117,
      "deflection": 0.009498375681015046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_3387",
      "improvement_over_parent": null
    },
    "node_3389": {
      "node_id": "node_3389",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0061)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0053)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0039)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0033)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0058)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0066)]\n\nPerformance:\n  Mass: 347.27 kg\n  Factor of Safety: 1.05\n  Max Deflection: 9.25e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 347.26877339902774,
      "fos_buckling": 1.054257292742055,
      "fos_yielding": 9.032709924847682,
      "deflection": 0.009254246592639117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.198)"
      },
      "parent_node_id": "node_3388",
      "improvement_over_parent": null
    },
    "node_3390": {
      "node_id": "node_3390",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0071)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0062)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0045)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0039)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0068)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0078)]\n\nPerformance:\n  Mass: 401.61 kg\n  Factor of Safety: 1.19\n  Max Deflection: 8.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 401.61202981084045,
      "fos_buckling": 1.1947669781388424,
      "fos_yielding": 10.458374058729078,
      "deflection": 0.008028456617671174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_3389",
      "improvement_over_parent": null
    },
    "node_3391": {
      "node_id": "node_3391",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0046)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0080)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n\nPerformance:\n  Mass: 466.65 kg\n  Factor of Safety: 1.35\n  Max Deflection: 6.94e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 466.64850122325305,
      "fos_buckling": 1.3544656048157366,
      "fos_yielding": 12.168936682775676,
      "deflection": 0.006936756788152893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_3390",
      "improvement_over_parent": null
    },
    "node_3392": {
      "node_id": "node_3392",
      "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=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M10: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.5120909800596,
      "fos_buckling": 1.5381147769492487,
      "fos_yielding": 14.27601469981557,
      "deflection": 0.005951607493953932,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_3391",
      "improvement_over_parent": null
    },
    "node_3393": {
      "node_id": "node_3393",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(6.77, 0.00) [free]\n  J2: pos=(13.55, 0.00) [roller]\n  J3: pos=(0.00, 3.53) [free]\n  J4: pos=(6.77, 3.53) [free]\n  J5: pos=(13.55, 3.53) [free]\n\nMembers (11 total):\n  M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0099)]\n  M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0087)]\n  M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0063)]\n  M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0054)]\n  M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n  M8: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M9: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0095)]\n  M10: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0108)]\n\nPerformance:\n  Mass: 546.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 5.95e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 546.2779843605078,
      "fos_buckling": 1.5377008067779117,
      "fos_yielding": 14.26991215199361,
      "deflection": 0.005954046863532335,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3392",
      "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, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "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 5 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.256)",
      "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": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "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": "Increase 6 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.211)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_6",
      "to_node": "node_7",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_7",
      "to_node": "node_8",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.282)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_8",
      "to_node": "node_9",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_9",
      "to_node": "node_10",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.558)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_10",
      "to_node": "node_11",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.538)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_11",
      "to_node": "node_12",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.282)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_12",
      "to_node": "node_13",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.250)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_13",
      "to_node": "node_14",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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",
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      "reasoning": "Increase 5 thickness by 66%",
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      "reasoning": "Optimal solution",
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      "reasoning": "Increase all_members thickness by 20%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
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      "reasoning": "Add member connecting joints 1 and 4",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.393)",
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      "reasoning": "Increase 8 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.309)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(0, thickness, 1.218)",
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      "to_node": "node_64",
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      "to_node": "node_66",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.220)",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.186)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
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    {
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
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      "reasoning": "Add member connecting joints 4 and 5",
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      "reasoning": "Increase all_members thickness by 28%",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006698)",
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.346)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.182)",
      "action_type": null,
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      "to_node": "node_388",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
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    {
      "from_node": "node_388",
      "to_node": "node_389",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_391",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.473)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.623)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.362)",
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      "from_node": "node_393",
      "to_node": "node_394",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.292)",
      "action_type": null,
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      "to_node": "node_396",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.236)",
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    {
      "from_node": "node_397",
      "to_node": "node_398",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_399",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
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    {
      "from_node": "node_400",
      "to_node": "node_401",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.340)",
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      "to_node": "node_403",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.420)",
      "action_type": null,
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    {
      "from_node": "node_403",
      "to_node": "node_404",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_404",
      "to_node": "node_405",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_406",
      "to_node": "node_407",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.001720)",
      "action_type": null,
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    {
      "from_node": "node_407",
      "to_node": "node_408",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.271)",
      "action_type": null,
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    {
      "from_node": "node_408",
      "to_node": "node_409",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
      "action_type": null,
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      "from_node": "node_409",
      "to_node": "node_410",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.208)",
      "action_type": null,
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    {
      "from_node": "node_410",
      "to_node": "node_411",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)",
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    {
      "from_node": "node_411",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
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    {
      "from_node": "node_412",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.550)",
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    {
      "from_node": "node_413",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_415",
      "to_node": "node_416",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005093)",
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    {
      "from_node": "node_416",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
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    {
      "from_node": "node_417",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
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    {
      "from_node": "node_418",
      "to_node": "node_419",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "reasoning": "Increase 2 thickness by 34%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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    {
      "from_node": "node_422",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)",
      "action_type": null,
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    {
      "from_node": "node_423",
      "to_node": "node_424",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
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    {
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      "to_node": "node_425",
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      "metadata": null,
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    {
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      "metadata": null,
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    {
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      "to_node": "node_427",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "edge_type": "modification",
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      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
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    {
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      "to_node": "node_432",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.385)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "action_type": null,
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      "to_node": "node_436",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "reasoning": "Add member connecting joints 0 and 4",
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      "to_node": "node_439",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.359)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "reasoning": "Increase all_members thickness by 12%",
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      "reasoning": "Optimal solution",
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    {
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      "reasoning": "Increase 7 thickness by 47%",
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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    {
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      "to_node": "node_505",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
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      "edge_type": "modification",
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      "metadata": null,
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      "reasoning": "Add member connecting joints 1 and 3",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
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      "reasoning": "Increase 8 thickness by 23%",
      "metadata": null,
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      "reasoning": "Increase 0 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.357)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_521",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.582)",
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      "from_node": "node_522",
      "to_node": "node_523",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006836)",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.387)",
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      "from_node": "node_524",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
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      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.397)",
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      "from_node": "node_530",
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      "reasoning": "Add member connecting joints 4 and 5",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.664)",
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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    {
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      "to_node": "node_544",
      "edge_type": "modification",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
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      "reasoning": "Add member connecting joints 1 and 3",
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      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007873)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.460)",
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    {
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      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005209)",
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    {
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      "reasoning": "Increase all_members thickness by 20%",
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    {
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      "to_node": "node_552",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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    {
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      "reasoning": "Increase all_members thickness by 20%",
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    {
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.524)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_566",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 36%",
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      "grammar_action": "SCALE_PARAM(10, thickness, 1.359)",
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    {
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      "to_node": "node_567",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.203)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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      "reasoning": "Optimal solution",
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      "to_node": "node_572",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.529)",
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      "to_node": "node_574",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.376)",
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      "from_node": "node_574",
      "to_node": "node_575",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_577",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.506)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.238)",
      "action_type": null,
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    {
      "from_node": "node_578",
      "to_node": "node_579",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.513)",
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    {
      "from_node": "node_579",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.661)",
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    {
      "from_node": "node_580",
      "to_node": "node_581",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_582",
      "to_node": "node_583",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006522)",
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      "from_node": "node_583",
      "to_node": "node_584",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004717)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.195)",
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      "to_node": "node_587",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
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    {
      "from_node": "node_587",
      "to_node": "node_588",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "to_node": "node_589",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.335)",
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    {
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      "to_node": "node_590",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_591",
      "to_node": "node_592",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007573)",
      "action_type": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.267)",
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      "from_node": "node_593",
      "to_node": "node_594",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009593)",
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      "from_node": "node_594",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)",
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    {
      "from_node": "node_595",
      "to_node": "node_596",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
      "from_node": "node_596",
      "to_node": "node_597",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_598",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.004583)",
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    {
      "from_node": "node_599",
      "to_node": "node_600",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005713)",
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    {
      "from_node": "node_600",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
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    {
      "from_node": "node_602",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
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    {
      "from_node": "node_603",
      "to_node": "node_604",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.351)",
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    {
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      "to_node": "node_607",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.618)",
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    {
      "from_node": "node_608",
      "to_node": "node_609",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.332)",
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    {
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      "to_node": "node_611",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "reasoning": "Increase 2 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.639)",
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    {
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      "to_node": "node_614",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
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    {
      "from_node": "node_614",
      "to_node": "node_615",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
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      "to_node": "node_616",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_618",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.447)",
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      "to_node": "node_619",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.553)",
      "action_type": null,
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    {
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      "to_node": "node_620",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.229)",
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    {
      "from_node": "node_620",
      "to_node": "node_621",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007207)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.312)",
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    {
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      "to_node": "node_623",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.242)",
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    {
      "from_node": "node_624",
      "to_node": "node_625",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_627",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005298)",
      "action_type": null,
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    {
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      "to_node": "node_628",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
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      "to_node": "node_629",
      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 12%",
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      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005421)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 20%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.504)",
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    {
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      "reasoning": "Increase all_members thickness by 20%",
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    {
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    {
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      "reasoning": "Increase 10 thickness by 39%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.631)",
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    {
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      "edge_type": "modification",
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    {
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      "reasoning": "Increase 7 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.414)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "metadata": null,
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    {
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    {
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      "reasoning": "Increase 0 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.431)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.456)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006027)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
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      "reasoning": "Increase all_members thickness by 17%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.233)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "grammar_action": "SCALE_PARAM(8, thickness, 1.205)",
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 43%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "SCALE_PARAM(5, thickness, 1.397)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.370)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.515)",
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      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase all_members thickness by 27%",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
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      "reasoning": "Add member connecting joints 1 and 4",
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      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008223)",
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      "to_node": "node_721",
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      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005441)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
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      "reasoning": "Increase 2 thickness by 46%",
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      "grammar_action": "SCALE_PARAM(2, thickness, 1.456)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
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      "grammar_action": "SCALE_PARAM(5, thickness, 1.497)",
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    {
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      "to_node": "node_731",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "SCALE_PARAM(2, thickness, 1.637)",
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      "to_node": "node_734",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.585)",
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    {
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006035)",
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      "to_node": "node_738",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
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      "to_node": "node_739",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.437)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.543)",
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      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007960)",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
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      "grammar_action": "SCALE_PARAM(3, thickness, 1.189)",
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      "to_node": "node_748",
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      "reasoning": "Add member connecting joints 1 and 4",
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      "to_node": "node_749",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006951)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "metadata": null,
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    {
      "from_node": "node_763",
      "to_node": "node_764",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase 3 thickness by 66%",
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      "reasoning": "Increase 5 thickness by 58%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
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      "to_node": "node_769",
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      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
      "from_node": "node_781",
      "to_node": "node_782",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.305)",
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      "reasoning": "Increase 2 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.319)",
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      "to_node": "node_786",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.582)",
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    {
      "from_node": "node_786",
      "to_node": "node_787",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
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      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(5, thickness, 1.203)",
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    {
      "from_node": "node_788",
      "to_node": "node_789",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.575)",
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    {
      "from_node": "node_791",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
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    {
      "from_node": "node_793",
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      "edge_type": "modification",
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      "metadata": null,
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    {
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      "to_node": "node_795",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.401)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)",
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    {
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      "to_node": "node_800",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
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      "to_node": "node_809",
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      "grammar_action": "SCALE_PARAM(9, thickness, 1.623)",
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      "to_node": "node_810",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
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      "to_node": "node_811",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 20%",
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      "grammar_action": "SCALE_PARAM(9, thickness, 1.202)",
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    {
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      "to_node": "node_812",
      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 17%",
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      "reasoning": "Increase all_members thickness by 18%",
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      "reasoning": "Increase all_members thickness by 13%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
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      "reasoning": "Increase 0 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.495)",
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      "to_node": "node_895",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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    {
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      "edge_type": "modification",
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      "to_node": "node_899",
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      "reasoning": "Add member connecting joints 4 and 5",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.538)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.437)",
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      "reasoning": "Increase 9 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.600)",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.499)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
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      "grammar_action": "SCALE_PARAM(9, thickness, 1.193)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.626)",
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      "to_node": "node_913",
      "edge_type": "modification",
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      "to_node": "node_921",
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      "edge_type": "modification",
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      "to_node": "node_926",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 0 and 4",
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      "to_node": "node_931",
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    {
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      "to_node": "node_932",
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      "reasoning": "Add member connecting joints 1 and 4",
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      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005618)",
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      "reasoning": "Increase all_members thickness by 12%",
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      "from_node": "node_996",
      "to_node": "node_997",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_999",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.460)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.401)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)",
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    {
      "from_node": "node_1002",
      "to_node": "node_1003",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009226)",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.244)",
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    {
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      "to_node": "node_1007",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009226)",
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    {
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      "to_node": "node_1008",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
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    {
      "from_node": "node_1008",
      "to_node": "node_1009",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.312)",
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    {
      "from_node": "node_1009",
      "to_node": "node_1010",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
      "from_node": "node_1010",
      "to_node": "node_1011",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_1012",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.333)",
      "action_type": null,
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    {
      "from_node": "node_1013",
      "to_node": "node_1014",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007980)",
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    {
      "from_node": "node_1014",
      "to_node": "node_1015",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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    {
      "from_node": "node_1015",
      "to_node": "node_1016",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
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    {
      "from_node": "node_1016",
      "to_node": "node_1017",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
      "from_node": "node_1017",
      "to_node": "node_1018",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1019",
      "to_node": "node_1020",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)",
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      "to_node": "node_1021",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.335)",
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      "to_node": "node_1022",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.258)",
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    {
      "from_node": "node_1022",
      "to_node": "node_1023",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007511)",
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    {
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      "to_node": "node_1024",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
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    {
      "from_node": "node_1024",
      "to_node": "node_1025",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1027",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.181)",
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      "to_node": "node_1028",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.524)",
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    {
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      "to_node": "node_1029",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.292)",
      "action_type": null,
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    {
      "from_node": "node_1030",
      "to_node": "node_1031",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1033",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
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    {
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      "to_node": "node_1034",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.639)",
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    {
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      "to_node": "node_1035",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
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    {
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      "to_node": "node_1036",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.314)",
      "action_type": null,
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    {
      "from_node": "node_1036",
      "to_node": "node_1037",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.200)",
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    {
      "from_node": "node_1037",
      "to_node": "node_1038",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1040",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)",
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    {
      "from_node": "node_1040",
      "to_node": "node_1041",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
      "from_node": "node_1041",
      "to_node": "node_1042",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_1043",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "to_node": "node_1044",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1046",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
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      "to_node": "node_1047",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
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      "to_node": "node_1048",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.188)",
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      "to_node": "node_1049",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.111)",
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    {
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      "to_node": "node_1050",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1052",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.656)",
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      "to_node": "node_1053",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.309)",
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    {
      "from_node": "node_1053",
      "to_node": "node_1054",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004181)",
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    {
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      "to_node": "node_1055",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
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      "metadata": null,
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      "metadata": null,
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 30%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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      "to_node": "node_1118",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1120",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
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    {
      "from_node": "node_1120",
      "to_node": "node_1121",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 63%",
      "metadata": null,
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    {
      "from_node": "node_1121",
      "to_node": "node_1122",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005068)",
      "action_type": null,
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    {
      "from_node": "node_1122",
      "to_node": "node_1123",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007007)",
      "action_type": null,
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    {
      "from_node": "node_1123",
      "to_node": "node_1124",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.241)",
      "action_type": null,
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    {
      "from_node": "node_1124",
      "to_node": "node_1125",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
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    {
      "from_node": "node_1125",
      "to_node": "node_1126",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
      "action_type": null,
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    {
      "from_node": "node_1126",
      "to_node": "node_1127",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1129",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.399)",
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    {
      "from_node": "node_1129",
      "to_node": "node_1130",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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    {
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      "to_node": "node_1131",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.285)",
      "action_type": null,
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    {
      "from_node": "node_1131",
      "to_node": "node_1132",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
      "from_node": "node_1132",
      "to_node": "node_1133",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
      "from_node": "node_1133",
      "to_node": "node_1134",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1136",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
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    {
      "from_node": "node_1136",
      "to_node": "node_1137",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)",
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    {
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      "to_node": "node_1138",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.572)",
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    {
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      "to_node": "node_1139",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
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    {
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      "to_node": "node_1140",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
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    {
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      "to_node": "node_1141",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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    {
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      "to_node": "node_1142",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
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    {
      "from_node": "node_1142",
      "to_node": "node_1143",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1145",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
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    {
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      "to_node": "node_1146",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
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    {
      "from_node": "node_1146",
      "to_node": "node_1147",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006849)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.261)",
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    {
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      "to_node": "node_1149",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004532)",
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    {
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      "to_node": "node_1150",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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    {
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      "to_node": "node_1151",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
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    {
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      "to_node": "node_1152",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1154",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
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    {
      "from_node": "node_1154",
      "to_node": "node_1155",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
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    {
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      "to_node": "node_1156",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
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      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_1159",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)",
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      "to_node": "node_1160",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
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      "to_node": "node_1161",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.582)",
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    {
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      "to_node": "node_1162",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.304)",
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    {
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      "to_node": "node_1163",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1165",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007479)",
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    {
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      "to_node": "node_1166",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
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    {
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      "to_node": "node_1167",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.276)",
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    {
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      "to_node": "node_1168",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
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    {
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      "to_node": "node_1169",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.225)",
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    {
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      "to_node": "node_1170",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "to_node": "node_1171",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1172",
      "to_node": "node_1173",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005905)",
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    {
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      "to_node": "node_1174",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "to_node": "node_1249",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
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      "edge_type": "modification",
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      "to_node": "node_1256",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.325)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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      "reasoning": "Increase 7 thickness by 48%",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.477)",
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      "to_node": "node_1264",
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      "reasoning": "Add member connecting joints 2 and 4",
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      "edge_type": "modification",
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      "to_node": "node_1267",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008397)",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.464)",
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      "from_node": "node_1273",
      "to_node": "node_1274",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_1275",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.297)",
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    {
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      "to_node": "node_1276",
      "edge_type": "modification",
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      "to_node": "node_1278",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.499)",
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      "to_node": "node_1279",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "to_node": "node_1283",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "to_node": "node_1286",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.414)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
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      "grammar_action": "SCALE_PARAM(3, thickness, 1.192)",
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    {
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      "to_node": "node_1289",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1291",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.267)",
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      "to_node": "node_1292",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "grammar_action": "SCALE_PARAM(10, thickness, 1.504)",
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      "to_node": "node_1294",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1296",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
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      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004734)",
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      "to_node": "node_1297",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
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      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005776)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "metadata": null,
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      "to_node": "node_1310",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
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      "to_node": "node_1311",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
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      "to_node": "node_1314",
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      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "to_node": "node_1315",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "from_node": "node_1323",
      "to_node": "node_1324",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008407)",
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      "metadata": null,
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      "to_node": "node_1326",
      "edge_type": "modification",
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      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.185)",
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      "edge_type": "modification",
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      "to_node": "node_1332",
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      "reasoning": "Add member connecting joints 1 and 4",
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      "edge_type": "modification",
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    {
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      "to_node": "node_1337",
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    {
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      "to_node": "node_1338",
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    {
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.647)",
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      "reasoning": "Optimal solution",
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      "to_node": "node_1344",
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    {
      "from_node": "node_1345",
      "to_node": "node_1346",
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    {
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      "to_node": "node_1347",
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      "to_node": "node_1348",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.376)",
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    {
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      "to_node": "node_1349",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1351",
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      "reasoning": "Increase 6 thickness by 20%",
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      "to_node": "node_1352",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
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      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008795)",
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      "to_node": "node_1353",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
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      "to_node": "node_1354",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.274)",
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    {
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      "to_node": "node_1355",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.304)",
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      "scale_factor": null
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    {
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      "to_node": "node_1356",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1358",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
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      "to_node": "node_1359",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.475)",
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      "from_node": "node_1359",
      "to_node": "node_1360",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.391)",
      "action_type": null,
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    {
      "from_node": "node_1360",
      "to_node": "node_1361",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
      "action_type": null,
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    {
      "from_node": "node_1361",
      "to_node": "node_1362",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1362",
      "to_node": "node_1363",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_1363",
      "to_node": "node_1364",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.524)",
      "action_type": null,
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    {
      "from_node": "node_1364",
      "to_node": "node_1365",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1366",
      "to_node": "node_1367",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006871)",
      "action_type": null,
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    {
      "from_node": "node_1367",
      "to_node": "node_1368",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.435)",
      "action_type": null,
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    {
      "from_node": "node_1368",
      "to_node": "node_1369",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.404)",
      "action_type": null,
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    {
      "from_node": "node_1369",
      "to_node": "node_1370",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
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    {
      "from_node": "node_1370",
      "to_node": "node_1371",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.285)",
      "action_type": null,
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    {
      "from_node": "node_1371",
      "to_node": "node_1372",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.577)",
      "action_type": null,
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    {
      "from_node": "node_1372",
      "to_node": "node_1373",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_1373",
      "to_node": "node_1374",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1375",
      "to_node": "node_1376",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.241)",
      "action_type": null,
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    },
    {
      "from_node": "node_1376",
      "to_node": "node_1377",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006511)",
      "action_type": null,
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    {
      "from_node": "node_1377",
      "to_node": "node_1378",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.250)",
      "action_type": null,
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    {
      "from_node": "node_1378",
      "to_node": "node_1379",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.305)",
      "action_type": null,
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    {
      "from_node": "node_1379",
      "to_node": "node_1380",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)",
      "action_type": null,
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    {
      "from_node": "node_1380",
      "to_node": "node_1381",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
      "action_type": null,
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    {
      "from_node": "node_1381",
      "to_node": "node_1382",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1383",
      "to_node": "node_1384",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
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    {
      "from_node": "node_1384",
      "to_node": "node_1385",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.626)",
      "action_type": null,
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    {
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      "to_node": "node_1386",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
      "action_type": null,
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    {
      "from_node": "node_1386",
      "to_node": "node_1387",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1388",
      "to_node": "node_1389",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003653)",
      "action_type": null,
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    {
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      "to_node": "node_1390",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.645)",
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    {
      "from_node": "node_1390",
      "to_node": "node_1391",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007444)",
      "action_type": null,
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    },
    {
      "from_node": "node_1391",
      "to_node": "node_1392",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006528)",
      "action_type": null,
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    {
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      "to_node": "node_1393",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.182)",
      "action_type": null,
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    {
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      "to_node": "node_1394",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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    {
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      "to_node": "node_1395",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)",
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    {
      "from_node": "node_1395",
      "to_node": "node_1396",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1398",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006090)",
      "action_type": null,
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    {
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      "to_node": "node_1399",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
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      "scale_factor": null
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    {
      "from_node": "node_1399",
      "to_node": "node_1400",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008824)",
      "action_type": null,
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    {
      "from_node": "node_1400",
      "to_node": "node_1401",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
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    {
      "from_node": "node_1401",
      "to_node": "node_1402",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
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    {
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      "to_node": "node_1403",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.289)",
      "action_type": null,
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    {
      "from_node": "node_1403",
      "to_node": "node_1404",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
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    {
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      "to_node": "node_1405",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1407",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
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    {
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      "to_node": "node_1408",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.002348)",
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      "to_node": "node_1409",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.443)",
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    {
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      "to_node": "node_1410",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
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      "to_node": "node_1411",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
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      "to_node": "node_1412",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
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      "scale_factor": null
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    {
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      "to_node": "node_1413",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1415",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1416",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
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      "to_node": "node_1423",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 49%",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.577)",
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      "reasoning": "Add member connecting joints 2 and 4",
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      "to_node": "node_1431",
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      "to_node": "node_1432",
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      "reasoning": "Add member connecting joints 0 and 4",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "to_node": "node_1440",
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      "reasoning": "Increase 5 thickness by 42%",
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      "reasoning": "Optimal solution",
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      "to_node": "node_1443",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.391)",
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      "to_node": "node_1444",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005064)",
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      "to_node": "node_1445",
      "edge_type": "modification",
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      "to_node": "node_1446",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
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      "from_node": "node_1446",
      "to_node": "node_1447",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009310)",
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      "to_node": "node_1448",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
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    {
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      "to_node": "node_1449",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1451",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
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      "to_node": "node_1452",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
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      "to_node": "node_1453",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.456)",
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      "to_node": "node_1454",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
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      "to_node": "node_1455",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.295)",
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      "to_node": "node_1456",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007289)",
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      "to_node": "node_1457",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
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      "to_node": "node_1458",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1460",
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      "to_node": "node_1461",
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      "metadata": null,
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      "to_node": "node_1462",
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      "to_node": "node_1463",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.244)",
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      "to_node": "node_1464",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.531)",
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      "to_node": "node_1465",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
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      "to_node": "node_1466",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.225)",
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      "to_node": "node_1467",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1469",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.258)",
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      "to_node": "node_1470",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_1471",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.217)",
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      "to_node": "node_1472",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.221)",
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      "to_node": "node_1473",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.425)",
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    {
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      "to_node": "node_1474",
      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(8, thickness, 1.570)",
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      "to_node": "node_1543",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
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      "to_node": "node_1546",
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      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007142)",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.215)",
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      "to_node": "node_1548",
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      "to_node": "node_1550",
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      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
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      "to_node": "node_1551",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)",
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      "reasoning": "Increase 4 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.490)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)",
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      "reasoning": "Increase 10 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.328)",
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      "to_node": "node_1559",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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    {
      "from_node": "node_1559",
      "to_node": "node_1560",
      "edge_type": "modification",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1562",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
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      "to_node": "node_1563",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
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      "to_node": "node_1564",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
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      "to_node": "node_1565",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
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    {
      "from_node": "node_1565",
      "to_node": "node_1566",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005287)",
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      "to_node": "node_1567",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
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      "to_node": "node_1568",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.541)",
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    {
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      "to_node": "node_1569",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.353)",
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      "to_node": "node_1572",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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      "to_node": "node_1574",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 36%",
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      "grammar_action": "SCALE_PARAM(6, thickness, 1.364)",
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    {
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      "to_node": "node_1575",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1577",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.429)",
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      "to_node": "node_1579",
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      "to_node": "node_1580",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008215)",
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      "to_node": "node_1581",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "to_node": "node_1582",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1584",
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      "metadata": null,
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      "to_node": "node_1585",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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      "to_node": "node_1586",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.314)",
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.403)",
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      "to_node": "node_1588",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007618)",
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      "to_node": "node_1589",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
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      "to_node": "node_1590",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1592",
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      "reasoning": "Add member connecting joints 3 and 4",
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      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_1593",
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      "reasoning": "Add member connecting joints 1 and 4",
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    {
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      "to_node": "node_1594",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.511)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "edge_type": "modification",
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      "reasoning": "Increase 8 thickness by 57%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
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      "to_node": "node_1612",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
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      "to_node": "node_1613",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.351)",
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      "reasoning": "Increase 9 thickness by 55%",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.422)",
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      "to_node": "node_1619",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
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      "to_node": "node_1620",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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    {
      "from_node": "node_1620",
      "to_node": "node_1621",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006857)",
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      "to_node": "node_1622",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
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      "to_node": "node_1623",
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      "reasoning": "Increase 6 thickness by 55%",
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      "grammar_action": "SCALE_PARAM(6, thickness, 1.546)",
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      "to_node": "node_1624",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1627",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
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      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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      "to_node": "node_1628",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.350)",
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    {
      "from_node": "node_1629",
      "to_node": "node_1630",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
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      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1633",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
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    {
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      "to_node": "node_1634",
      "edge_type": "modification",
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      "to_node": "node_1635",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 27%",
      "metadata": null,
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      "to_node": "node_1636",
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    {
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      "to_node": "node_1637",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007565)",
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      "to_node": "node_1638",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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    {
      "from_node": "node_1638",
      "to_node": "node_1639",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1641",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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      "to_node": "node_1642",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.294)",
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      "to_node": "node_1643",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
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      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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      "to_node": "node_1644",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1646",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
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      "to_node": "node_1647",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008457)",
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      "to_node": "node_1648",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008457)",
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      "to_node": "node_1649",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)",
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      "to_node": "node_1650",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.661)",
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      "to_node": "node_1651",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1653",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
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      "scale_factor": null
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      "to_node": "node_1654",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
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      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "to_node": "node_1659",
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      "reasoning": "Increase all_members thickness by 17%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.294)",
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      "to_node": "node_1661",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.522)",
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      "from_node": "node_1661",
      "to_node": "node_1662",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "to_node": "node_1663",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1665",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 29%",
      "metadata": null,
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      "from_node": "node_1665",
      "to_node": "node_1666",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.468)",
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      "to_node": "node_1667",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.486)",
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      "to_node": "node_1668",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
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      "to_node": "node_1669",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
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      "to_node": "node_1670",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
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    {
      "from_node": "node_1670",
      "to_node": "node_1671",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1673",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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    {
      "from_node": "node_1673",
      "to_node": "node_1674",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "from_node": "node_1674",
      "to_node": "node_1675",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.192)",
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      "to_node": "node_1677",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
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      "to_node": "node_1678",
      "edge_type": "modification",
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      "to_node": "node_1680",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
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      "to_node": "node_1681",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
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      "reasoning": "Increase 3 thickness by 29%",
      "metadata": null,
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      "to_node": "node_1683",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.570)",
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      "to_node": "node_1684",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "to_node": "node_1685",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.248)",
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    {
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      "to_node": "node_1686",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "to_node": "node_1687",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1688",
      "to_node": "node_1689",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "to_node": "node_1690",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.344)",
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    {
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      "to_node": "node_1691",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
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      "to_node": "node_1692",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1694",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
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      "to_node": "node_1695",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.342)",
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      "to_node": "node_1696",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
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      "to_node": "node_1697",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.185)",
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    {
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      "to_node": "node_1698",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
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      "to_node": "node_1699",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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    {
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      "to_node": "node_1700",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_1701",
      "to_node": "node_1702",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
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      "to_node": "node_1703",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
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      "to_node": "node_1704",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
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      "to_node": "node_1705",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
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      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_1706",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1708",
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      "metadata": null,
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      "to_node": "node_1710",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.259)",
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      "to_node": "node_1711",
      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004902)",
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      "to_node": "node_1712",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
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    {
      "from_node": "node_1712",
      "to_node": "node_1713",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1715",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "edge_type": "modification",
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      "to_node": "node_1722",
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      "to_node": "node_1723",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
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      "to_node": "node_1724",
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      "metadata": null,
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      "to_node": "node_1729",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "reasoning": "Increase 8 thickness by 43%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "to_node": "node_1732",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
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    {
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      "to_node": "node_1733",
      "edge_type": "modification",
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    {
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      "to_node": "node_1735",
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      "reasoning": "Add member connecting joints 0 and 4",
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    {
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      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006757)",
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    {
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      "to_node": "node_1737",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
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      "to_node": "node_1739",
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      "metadata": null,
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    {
      "from_node": "node_1739",
      "to_node": "node_1740",
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      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
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    {
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      "edge_type": "modification",
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      "to_node": "node_1743",
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      "reasoning": "Increase 2 thickness by 19%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.300)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
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    {
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      "reasoning": "Optimal solution",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.562)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.656)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.453)",
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    {
      "from_node": "node_1754",
      "to_node": "node_1755",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
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    {
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      "to_node": "node_1756",
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      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007700)",
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      "to_node": "node_1757",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
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    {
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      "to_node": "node_1758",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_1760",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006563)",
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      "to_node": "node_1761",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.312)",
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    {
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      "to_node": "node_1762",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
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      "to_node": "node_1763",
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      "metadata": null,
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    {
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      "to_node": "node_1764",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
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      "to_node": "node_1765",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "to_node": "node_1768",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
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      "reasoning": "Increase 3 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.511)",
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      "to_node": "node_1770",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006810)",
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    {
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      "to_node": "node_1771",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)",
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    {
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      "to_node": "node_1772",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1774",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007388)",
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      "from_node": "node_1774",
      "to_node": "node_1775",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008425)",
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      "to_node": "node_1776",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.543)",
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      "to_node": "node_1777",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)",
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      "to_node": "node_1778",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.439)",
      "action_type": null,
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      "to_node": "node_1779",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
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    {
      "from_node": "node_1779",
      "to_node": "node_1780",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_1781",
      "to_node": "node_1782",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005241)",
      "action_type": null,
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    {
      "from_node": "node_1782",
      "to_node": "node_1783",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
      "action_type": null,
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      "to_node": "node_1784",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
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      "to_node": "node_1785",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
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    {
      "from_node": "node_1785",
      "to_node": "node_1786",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_1786",
      "to_node": "node_1787",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1788",
      "to_node": "node_1789",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007112)",
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    {
      "from_node": "node_1789",
      "to_node": "node_1790",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007774)",
      "action_type": null,
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      "from_node": "node_1790",
      "to_node": "node_1791",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.190)",
      "action_type": null,
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      "from_node": "node_1791",
      "to_node": "node_1792",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)",
      "action_type": null,
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    {
      "from_node": "node_1792",
      "to_node": "node_1793",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_1793",
      "to_node": "node_1794",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1795",
      "to_node": "node_1796",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
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    {
      "from_node": "node_1796",
      "to_node": "node_1797",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.449)",
      "action_type": null,
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    {
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      "to_node": "node_1798",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.307)",
      "action_type": null,
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    {
      "from_node": "node_1798",
      "to_node": "node_1799",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1800",
      "to_node": "node_1801",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
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    {
      "from_node": "node_1801",
      "to_node": "node_1802",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
      "from_node": "node_1802",
      "to_node": "node_1803",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.531)",
      "action_type": null,
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    {
      "from_node": "node_1803",
      "to_node": "node_1804",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1805",
      "to_node": "node_1806",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
      "action_type": null,
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    {
      "from_node": "node_1806",
      "to_node": "node_1807",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009704)",
      "action_type": null,
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    {
      "from_node": "node_1807",
      "to_node": "node_1808",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
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    {
      "from_node": "node_1808",
      "to_node": "node_1809",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
      "from_node": "node_1809",
      "to_node": "node_1810",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1812",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.277)",
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    {
      "from_node": "node_1812",
      "to_node": "node_1813",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.493)",
      "action_type": null,
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    {
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      "to_node": "node_1814",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.359)",
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    {
      "from_node": "node_1814",
      "to_node": "node_1815",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
      "from_node": "node_1815",
      "to_node": "node_1816",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.220)",
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    {
      "from_node": "node_1816",
      "to_node": "node_1817",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.502)",
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    {
      "from_node": "node_1817",
      "to_node": "node_1818",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1820",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
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    {
      "from_node": "node_1820",
      "to_node": "node_1821",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.195)",
      "action_type": null,
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    {
      "from_node": "node_1821",
      "to_node": "node_1822",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
      "action_type": null,
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    {
      "from_node": "node_1822",
      "to_node": "node_1823",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1823",
      "to_node": "node_1824",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
      "action_type": null,
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    {
      "from_node": "node_1824",
      "to_node": "node_1825",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1826",
      "to_node": "node_1827",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006905)",
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    {
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      "to_node": "node_1828",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.381)",
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    {
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      "to_node": "node_1829",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.280)",
      "action_type": null,
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      "to_node": "node_1830",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.567)",
      "action_type": null,
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      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1830",
      "to_node": "node_1831",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_1833",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1834",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
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      "metadata": null,
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      "to_node": "node_1847",
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      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006528)",
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      "to_node": "node_1848",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)",
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      "reasoning": "Increase 2 thickness by 48%",
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      "grammar_action": "SCALE_PARAM(2, thickness, 1.479)",
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      "to_node": "node_1850",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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      "to_node": "node_1853",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.570)",
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      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008241)",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007539)",
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      "to_node": "node_1874",
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      "reasoning": "Add member connecting joints 2 and 4",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.183)",
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      "reasoning": "Optimal solution",
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      "to_node": "node_1890",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.645)",
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      "to_node": "node_1891",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "to_node": "node_1892",
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      "to_node": "node_1893",
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      "reasoning": "Increase 9 thickness by 56%",
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      "grammar_action": "SCALE_PARAM(9, thickness, 1.565)",
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    {
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      "to_node": "node_1894",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1896",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
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      "metadata": null,
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      "reasoning": "Add member connecting joints 1 and 4",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1904",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
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      "from_node": "node_1904",
      "to_node": "node_1905",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007604)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_1908",
      "to_node": "node_1909",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007174)",
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      "to_node": "node_1910",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.575)",
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      "from_node": "node_1911",
      "to_node": "node_1912",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006697)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
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      "from_node": "node_1913",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.205)",
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      "to_node": "node_1915",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
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      "from_node": "node_1915",
      "to_node": "node_1916",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "from_node": "node_1917",
      "to_node": "node_1918",
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      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006187)",
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      "to_node": "node_1919",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
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    {
      "from_node": "node_1919",
      "to_node": "node_1920",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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      "from_node": "node_1920",
      "to_node": "node_1921",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.506)",
      "action_type": null,
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    {
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      "to_node": "node_1922",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.410)",
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    {
      "from_node": "node_1924",
      "to_node": "node_1925",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
      "from_node": "node_1925",
      "to_node": "node_1926",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_1927",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
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      "to_node": "node_1928",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.529)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.312)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
      "from_node": "node_1932",
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      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
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      "edge_type": "modification",
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    {
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006587)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005366)",
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.618)",
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    {
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      "to_node": "node_1942",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.195)",
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    {
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      "to_node": "node_1946",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.508)",
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    {
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      "to_node": "node_1947",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_1949",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.408)",
      "action_type": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.267)",
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    {
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      "to_node": "node_1951",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)",
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      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.239)",
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    {
      "from_node": "node_1952",
      "to_node": "node_1953",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
      "from_node": "node_1953",
      "to_node": "node_1954",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
      "from_node": "node_1954",
      "to_node": "node_1955",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    },
    {
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      "to_node": "node_1957",
      "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_1957",
      "to_node": "node_1958",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.389)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1958",
      "to_node": "node_1959",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.520)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1959",
      "to_node": "node_1960",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.381)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1960",
      "to_node": "node_1961",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007271)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1961",
      "to_node": "node_1962",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1962",
      "to_node": "node_1963",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1964",
      "to_node": "node_1965",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1965",
      "to_node": "node_1966",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1966",
      "to_node": "node_1967",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1967",
      "to_node": "node_1968",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1969",
      "to_node": "node_1970",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1970",
      "to_node": "node_1971",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1971",
      "to_node": "node_1972",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1972",
      "to_node": "node_1973",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1974",
      "to_node": "node_1975",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007805)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1975",
      "to_node": "node_1976",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007140)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1976",
      "to_node": "node_1977",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1977",
      "to_node": "node_1978",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1979",
      "to_node": "node_1980",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1980",
      "to_node": "node_1981",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.435)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1981",
      "to_node": "node_1982",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1982",
      "to_node": "node_1983",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1983",
      "to_node": "node_1984",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.453)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1984",
      "to_node": "node_1985",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1985",
      "to_node": "node_1986",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.271)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1986",
      "to_node": "node_1987",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1988",
      "to_node": "node_1989",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1989",
      "to_node": "node_1990",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1990",
      "to_node": "node_1991",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.524)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1991",
      "to_node": "node_1992",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1992",
      "to_node": "node_1993",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.333)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1993",
      "to_node": "node_1994",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1995",
      "to_node": "node_1996",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1996",
      "to_node": "node_1997",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1997",
      "to_node": "node_1998",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1998",
      "to_node": "node_1999",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2000",
      "to_node": "node_2001",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006020)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2001",
      "to_node": "node_2002",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.575)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2002",
      "to_node": "node_2003",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.506)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2003",
      "to_node": "node_2004",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2004",
      "to_node": "node_2005",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2006",
      "to_node": "node_2007",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2007",
      "to_node": "node_2008",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2008",
      "to_node": "node_2009",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2009",
      "to_node": "node_2010",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2010",
      "to_node": "node_2011",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2011",
      "to_node": "node_2012",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2013",
      "to_node": "node_2014",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2014",
      "to_node": "node_2015",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006461)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2015",
      "to_node": "node_2016",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2016",
      "to_node": "node_2017",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2017",
      "to_node": "node_2018",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.410)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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      "action_type": null,
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      "to_node": "node_2022",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004058)",
      "action_type": null,
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      "to_node": "node_2023",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)",
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      "to_node": "node_2024",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
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      "to_node": "node_2025",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
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      "to_node": "node_2026",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.206)",
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      "to_node": "node_2027",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "to_node": "node_2028",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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      "from_node": "node_2029",
      "to_node": "node_2030",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
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      "to_node": "node_2031",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
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      "to_node": "node_2032",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "to_node": "node_2033",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_2034",
      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.241)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
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      "to_node": "node_2039",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
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      "to_node": "node_2040",
      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "to_node": "node_2041",
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      "to_node": "node_2043",
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      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.527)",
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      "from_node": "node_2044",
      "to_node": "node_2045",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "edge_type": "modification",
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      "to_node": "node_2048",
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      "reasoning": "Increase 3 thickness by 25%",
      "metadata": null,
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      "to_node": "node_2049",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
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      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.357)",
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    {
      "from_node": "node_2050",
      "to_node": "node_2051",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.332)",
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    {
      "from_node": "node_2053",
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      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.245)",
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    {
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      "edge_type": "modification",
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      "to_node": "node_2058",
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      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005474)",
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      "to_node": "node_2059",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
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    {
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      "to_node": "node_2060",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
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      "to_node": "node_2062",
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      "to_node": "node_2064",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
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      "to_node": "node_2065",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.592)",
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      "to_node": "node_2068",
      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.389)",
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      "to_node": "node_2071",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008198)",
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      "to_node": "node_2072",
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      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
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      "to_node": "node_2073",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.259)",
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      "to_node": "node_2074",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2076",
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      "reasoning": "Increase 7 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.445)",
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      "to_node": "node_2077",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.205)",
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      "to_node": "node_2079",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007543)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "to_node": "node_2165",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.176)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
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      "edge_type": "modification",
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      "to_node": "node_2177",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
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      "reasoning": "Add member connecting joints 4 and 5",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_2200",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2202",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.391)",
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      "from_node": "node_2202",
      "to_node": "node_2203",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.546)",
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      "to_node": "node_2204",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.305)",
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      "from_node": "node_2204",
      "to_node": "node_2205",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.279)",
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      "from_node": "node_2205",
      "to_node": "node_2206",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
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      "from_node": "node_2206",
      "to_node": "node_2207",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.342)",
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    {
      "from_node": "node_2207",
      "to_node": "node_2208",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_2208",
      "to_node": "node_2209",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2210",
      "to_node": "node_2211",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
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    {
      "from_node": "node_2211",
      "to_node": "node_2212",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005983)",
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    {
      "from_node": "node_2212",
      "to_node": "node_2213",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
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    {
      "from_node": "node_2213",
      "to_node": "node_2214",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
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    {
      "from_node": "node_2214",
      "to_node": "node_2215",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
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    {
      "from_node": "node_2215",
      "to_node": "node_2216",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
      "action_type": null,
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    {
      "from_node": "node_2216",
      "to_node": "node_2217",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2219",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.182)",
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    {
      "from_node": "node_2219",
      "to_node": "node_2220",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)",
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    {
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      "to_node": "node_2221",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.462)",
      "action_type": null,
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    {
      "from_node": "node_2221",
      "to_node": "node_2222",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
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    {
      "from_node": "node_2222",
      "to_node": "node_2223",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
      "action_type": null,
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    {
      "from_node": "node_2223",
      "to_node": "node_2224",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2225",
      "to_node": "node_2226",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.497)",
      "action_type": null,
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    {
      "from_node": "node_2226",
      "to_node": "node_2227",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
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    {
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      "to_node": "node_2228",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.517)",
      "action_type": null,
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    {
      "from_node": "node_2228",
      "to_node": "node_2229",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006893)",
      "action_type": null,
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    {
      "from_node": "node_2229",
      "to_node": "node_2230",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
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    {
      "from_node": "node_2230",
      "to_node": "node_2231",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.486)",
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    {
      "from_node": "node_2231",
      "to_node": "node_2232",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2233",
      "to_node": "node_2234",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
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    },
    {
      "from_node": "node_2234",
      "to_node": "node_2235",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
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    {
      "from_node": "node_2235",
      "to_node": "node_2236",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)",
      "action_type": null,
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    },
    {
      "from_node": "node_2236",
      "to_node": "node_2237",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    },
    {
      "from_node": "node_2237",
      "to_node": "node_2238",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2239",
      "to_node": "node_2240",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
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    {
      "from_node": "node_2240",
      "to_node": "node_2241",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)",
      "action_type": null,
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    {
      "from_node": "node_2241",
      "to_node": "node_2242",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
      "action_type": null,
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    {
      "from_node": "node_2242",
      "to_node": "node_2243",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.610)",
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    {
      "from_node": "node_2243",
      "to_node": "node_2244",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.429)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2244",
      "to_node": "node_2245",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.412)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2245",
      "to_node": "node_2246",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2246",
      "to_node": "node_2247",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2248",
      "to_node": "node_2249",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2249",
      "to_node": "node_2250",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005099)",
      "action_type": null,
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    {
      "from_node": "node_2250",
      "to_node": "node_2251",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2251",
      "to_node": "node_2252",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.401)",
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    {
      "from_node": "node_2252",
      "to_node": "node_2253",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_2255",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2255",
      "to_node": "node_2256",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003690)",
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    {
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      "to_node": "node_2257",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
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      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2258",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.357)",
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      "scale_factor": null
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    {
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      "to_node": "node_2259",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
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      "reasoning": "Increase 9 thickness by 57%",
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      "grammar_action": "SCALE_PARAM(9, thickness, 1.567)",
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      "from_node": "node_2260",
      "to_node": "node_2261",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
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    {
      "from_node": "node_2261",
      "to_node": "node_2262",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2263",
      "to_node": "node_2264",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
      "from_node": "node_2264",
      "to_node": "node_2265",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_2265",
      "to_node": "node_2266",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_2266",
      "to_node": "node_2267",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
      "action_type": null,
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    {
      "from_node": "node_2267",
      "to_node": "node_2268",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
      "action_type": null,
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    {
      "from_node": "node_2268",
      "to_node": "node_2269",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2271",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.214)",
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      "to_node": "node_2272",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.242)",
      "action_type": null,
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    {
      "from_node": "node_2272",
      "to_node": "node_2273",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
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    {
      "from_node": "node_2273",
      "to_node": "node_2274",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
      "from_node": "node_2274",
      "to_node": "node_2275",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.429)",
      "action_type": null,
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    {
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      "to_node": "node_2276",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.600)",
      "action_type": null,
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    {
      "from_node": "node_2276",
      "to_node": "node_2277",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.613)",
      "action_type": null,
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      "old_value": null,
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    {
      "from_node": "node_2277",
      "to_node": "node_2278",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2279",
      "to_node": "node_2280",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.401)",
      "action_type": null,
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    },
    {
      "from_node": "node_2280",
      "to_node": "node_2281",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006523)",
      "action_type": null,
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    },
    {
      "from_node": "node_2281",
      "to_node": "node_2282",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.350)",
      "action_type": null,
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    {
      "from_node": "node_2282",
      "to_node": "node_2283",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
      "action_type": null,
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    },
    {
      "from_node": "node_2283",
      "to_node": "node_2284",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008657)",
      "action_type": null,
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    },
    {
      "from_node": "node_2284",
      "to_node": "node_2285",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.513)",
      "action_type": null,
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    },
    {
      "from_node": "node_2285",
      "to_node": "node_2286",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.572)",
      "action_type": null,
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    {
      "from_node": "node_2286",
      "to_node": "node_2287",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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    {
      "from_node": "node_2287",
      "to_node": "node_2288",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2289",
      "to_node": "node_2290",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.522)",
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    {
      "from_node": "node_2290",
      "to_node": "node_2291",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "to_node": "node_2292",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
      "from_node": "node_2292",
      "to_node": "node_2293",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
      "from_node": "node_2293",
      "to_node": "node_2294",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_2295",
      "to_node": "node_2296",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004269)",
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    {
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      "to_node": "node_2297",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
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    {
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      "to_node": "node_2298",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.339)",
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    {
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      "to_node": "node_2299",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
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    {
      "from_node": "node_2299",
      "to_node": "node_2300",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
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    },
    {
      "from_node": "node_2300",
      "to_node": "node_2301",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_2301",
      "to_node": "node_2302",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
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      "to_node": "node_2304",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2304",
      "to_node": "node_2305",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005781)",
      "action_type": null,
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    {
      "from_node": "node_2305",
      "to_node": "node_2306",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007207)",
      "action_type": null,
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    {
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      "to_node": "node_2307",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2307",
      "to_node": "node_2308",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006488)",
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    {
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      "to_node": "node_2309",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
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    {
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      "to_node": "node_2310",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
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    {
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      "to_node": "node_2311",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_2313",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004868)",
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      "to_node": "node_2314",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
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    {
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      "to_node": "node_2315",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.416)",
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      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2316",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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      "reasoning": "Optimal solution",
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      "grammar_action": "SCALE_PARAM(6, thickness, 1.664)",
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      "reasoning": "Increase all_members thickness by 19%",
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      "reasoning": "Increase all_members thickness by 14%",
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      "reasoning": "Increase 1 thickness by 25%",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.248)",
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      "to_node": "node_2359",
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    {
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      "to_node": "node_2365",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.225)",
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      "reasoning": "Optimal solution",
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      "to_node": "node_2373",
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      "to_node": "node_2376",
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      "to_node": "node_2377",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase all_members thickness by 14%",
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      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 1 and 4",
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      "reasoning": "Add member connecting joints 2 and 4",
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      "to_node": "node_2392",
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      "reasoning": "Add member connecting joints 1 and 4",
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      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "from_node": "node_2397",
      "to_node": "node_2398",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "from_node": "node_2400",
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      "edge_type": "modification",
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      "to_node": "node_2406",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007622)",
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      "to_node": "node_2407",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006973)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.294)",
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      "to_node": "node_2409",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
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      "to_node": "node_2413",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "to_node": "node_2414",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
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      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
      "from_node": "node_2414",
      "to_node": "node_2415",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "to_node": "node_2416",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2418",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.393)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.357)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.276)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.259)",
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      "to_node": "node_2422",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
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    {
      "from_node": "node_2422",
      "to_node": "node_2423",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.422)",
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    {
      "from_node": "node_2423",
      "to_node": "node_2424",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2426",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006041)",
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    {
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      "to_node": "node_2427",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.613)",
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      "to_node": "node_2429",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
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      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008236)",
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      "to_node": "node_2430",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
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      "to_node": "node_2431",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2433",
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      "to_node": "node_2434",
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(9, thickness, 1.199)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
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      "to_node": "node_2438",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.195)",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "from_node": "node_2456",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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      "reasoning": "Add member connecting joints 3 and 4",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.383)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 66%",
      "metadata": null,
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      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)",
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      "reasoning": "Increase 7 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.479)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.567)",
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    {
      "from_node": "node_2473",
      "to_node": "node_2474",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005026)",
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      "to_node": "node_2475",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.188)",
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    {
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      "to_node": "node_2477",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
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    {
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      "to_node": "node_2478",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2480",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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      "to_node": "node_2481",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.337)",
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    {
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      "to_node": "node_2482",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.333)",
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    {
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      "to_node": "node_2484",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2486",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.339)",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.543)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.284)",
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    {
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      "to_node": "node_2489",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_2491",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.506)",
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      "to_node": "node_2492",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
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    {
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      "to_node": "node_2493",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.230)",
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    {
      "from_node": "node_2493",
      "to_node": "node_2494",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.004885)",
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      "to_node": "node_2495",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
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      "to_node": "node_2496",
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      "to_node": "node_2497",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.522)",
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      "to_node": "node_2498",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_2500",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.235)",
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      "to_node": "node_2501",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008313)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.506)",
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      "to_node": "node_2504",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
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    {
      "from_node": "node_2504",
      "to_node": "node_2505",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
      "from_node": "node_2505",
      "to_node": "node_2506",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2507",
      "to_node": "node_2508",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)",
      "action_type": null,
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    {
      "from_node": "node_2508",
      "to_node": "node_2509",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.383)",
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    {
      "from_node": "node_2509",
      "to_node": "node_2510",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.276)",
      "action_type": null,
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      "from_node": "node_2510",
      "to_node": "node_2511",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.342)",
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      "from_node": "node_2511",
      "to_node": "node_2512",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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    {
      "from_node": "node_2513",
      "to_node": "node_2514",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004083)",
      "action_type": null,
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    {
      "from_node": "node_2514",
      "to_node": "node_2515",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
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    {
      "from_node": "node_2515",
      "to_node": "node_2516",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007214)",
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    {
      "from_node": "node_2516",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.565)",
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    {
      "from_node": "node_2517",
      "to_node": "node_2518",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
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    {
      "from_node": "node_2518",
      "to_node": "node_2519",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2520",
      "to_node": "node_2521",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
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    {
      "from_node": "node_2521",
      "to_node": "node_2522",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.361)",
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    {
      "from_node": "node_2522",
      "to_node": "node_2523",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.287)",
      "action_type": null,
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    {
      "from_node": "node_2523",
      "to_node": "node_2524",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_2524",
      "to_node": "node_2525",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2527",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.192)",
      "action_type": null,
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    {
      "from_node": "node_2527",
      "to_node": "node_2528",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.229)",
      "action_type": null,
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    {
      "from_node": "node_2528",
      "to_node": "node_2529",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)",
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    {
      "from_node": "node_2529",
      "to_node": "node_2530",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2532",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.464)",
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    {
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      "to_node": "node_2533",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
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    {
      "from_node": "node_2533",
      "to_node": "node_2534",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007922)",
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    {
      "from_node": "node_2534",
      "to_node": "node_2535",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
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    {
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      "to_node": "node_2536",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
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    {
      "from_node": "node_2536",
      "to_node": "node_2537",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
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      "to_node": "node_2538",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2540",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
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    {
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      "to_node": "node_2541",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
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    {
      "from_node": "node_2541",
      "to_node": "node_2542",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008320)",
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    {
      "from_node": "node_2542",
      "to_node": "node_2543",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007611)",
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    {
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      "to_node": "node_2544",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
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    {
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      "to_node": "node_2545",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.565)",
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    {
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      "to_node": "node_2546",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2548",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.253)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2549",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.385)",
      "action_type": null,
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    {
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      "to_node": "node_2550",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2551",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.346)",
      "action_type": null,
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    {
      "from_node": "node_2551",
      "to_node": "node_2552",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
      "action_type": null,
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    {
      "from_node": "node_2552",
      "to_node": "node_2553",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_2553",
      "to_node": "node_2554",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2555",
      "to_node": "node_2556",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007232)",
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    {
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      "to_node": "node_2557",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.284)",
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      "scale_factor": null
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    {
      "from_node": "node_2557",
      "to_node": "node_2558",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007232)",
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      "scale_factor": null
    },
    {
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      "to_node": "node_2559",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
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      "scale_factor": null
    },
    {
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      "to_node": "node_2560",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
      "action_type": null,
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      "to_node": "node_2617",
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      "to_node": "node_2618",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase 1 thickness by 66%",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.661)",
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      "to_node": "node_2621",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006441)",
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      "to_node": "node_2622",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.626)",
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      "to_node": "node_2623",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
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      "to_node": "node_2624",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.318)",
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      "from_node": "node_2624",
      "to_node": "node_2625",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
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      "to_node": "node_2626",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.431)",
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      "from_node": "node_2626",
      "to_node": "node_2627",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_2628",
      "to_node": "node_2629",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.344)",
      "action_type": null,
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    {
      "from_node": "node_2629",
      "to_node": "node_2630",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.368)",
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    {
      "from_node": "node_2630",
      "to_node": "node_2631",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
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    {
      "from_node": "node_2631",
      "to_node": "node_2632",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.543)",
      "action_type": null,
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    {
      "from_node": "node_2632",
      "to_node": "node_2633",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2634",
      "to_node": "node_2635",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007356)",
      "action_type": null,
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    {
      "from_node": "node_2635",
      "to_node": "node_2636",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.536)",
      "action_type": null,
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    {
      "from_node": "node_2636",
      "to_node": "node_2637",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007356)",
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    {
      "from_node": "node_2637",
      "to_node": "node_2638",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
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    {
      "from_node": "node_2638",
      "to_node": "node_2639",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
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    {
      "from_node": "node_2639",
      "to_node": "node_2640",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
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    {
      "from_node": "node_2640",
      "to_node": "node_2641",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2642",
      "to_node": "node_2643",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)",
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    {
      "from_node": "node_2643",
      "to_node": "node_2644",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
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    {
      "from_node": "node_2644",
      "to_node": "node_2645",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004226)",
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    {
      "from_node": "node_2645",
      "to_node": "node_2646",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
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    {
      "from_node": "node_2646",
      "to_node": "node_2647",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)",
      "action_type": null,
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    {
      "from_node": "node_2647",
      "to_node": "node_2648",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.272)",
      "action_type": null,
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    {
      "from_node": "node_2648",
      "to_node": "node_2649",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_2650",
      "to_node": "node_2651",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.182)",
      "action_type": null,
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    {
      "from_node": "node_2651",
      "to_node": "node_2652",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
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    {
      "from_node": "node_2652",
      "to_node": "node_2653",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004422)",
      "action_type": null,
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    {
      "from_node": "node_2653",
      "to_node": "node_2654",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
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    {
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      "to_node": "node_2655",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
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    {
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      "to_node": "node_2656",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
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    {
      "from_node": "node_2656",
      "to_node": "node_2657",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.206)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2657",
      "to_node": "node_2658",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2659",
      "to_node": "node_2660",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
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      "scale_factor": null
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    {
      "from_node": "node_2660",
      "to_node": "node_2661",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
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    {
      "from_node": "node_2661",
      "to_node": "node_2662",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
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    {
      "from_node": "node_2662",
      "to_node": "node_2663",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2664",
      "to_node": "node_2665",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.252)",
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    {
      "from_node": "node_2665",
      "to_node": "node_2666",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007878)",
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    {
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      "to_node": "node_2667",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
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    {
      "from_node": "node_2667",
      "to_node": "node_2668",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "to_node": "node_2669",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2670",
      "to_node": "node_2671",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007542)",
      "action_type": null,
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    {
      "from_node": "node_2671",
      "to_node": "node_2672",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009401)",
      "action_type": null,
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    {
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      "to_node": "node_2673",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)",
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      "scale_factor": null
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    {
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      "to_node": "node_2674",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
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      "to_node": "node_2675",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2677",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
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      "scale_factor": null
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    {
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      "to_node": "node_2678",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008242)",
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    {
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      "to_node": "node_2679",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.397)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
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      "to_node": "node_2680",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.266)",
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      "reasoning": "Optimal solution",
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      "to_node": "node_2685",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
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      "metadata": null,
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      "to_node": "node_2687",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.359)",
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    {
      "from_node": "node_2688",
      "to_node": "node_2689",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "metadata": null,
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    {
      "from_node": "node_2692",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "to_node": "node_2694",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2697",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
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      "to_node": "node_2699",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006497)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 45%",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.466)",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.186)",
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    {
      "from_node": "node_2707",
      "to_node": "node_2708",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2710",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.186)",
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      "to_node": "node_2711",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)",
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      "to_node": "node_2712",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
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    {
      "from_node": "node_2712",
      "to_node": "node_2713",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2715",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007566)",
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      "to_node": "node_2716",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "reasoning": "Increase 8 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.215)",
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    {
      "from_node": "node_2717",
      "to_node": "node_2718",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_2720",
      "to_node": "node_2721",
      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
      "from_node": "node_2721",
      "to_node": "node_2722",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
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      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "to_node": "node_2723",
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      "grammar_action": "SCALE_PARAM(4, thickness, 1.385)",
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    {
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      "to_node": "node_2724",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.200)",
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      "to_node": "node_2727",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
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      "to_node": "node_2728",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
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    {
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      "to_node": "node_2729",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2731",
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      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_2732",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.389)",
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    {
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      "to_node": "node_2733",
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      "reasoning": "Add member connecting joints 0 and 4",
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      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "to_node": "node_2734",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.486)",
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    {
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      "to_node": "node_2735",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2737",
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      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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      "to_node": "node_2738",
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      "reasoning": "Add member connecting joints 1 and 3",
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    {
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      "to_node": "node_2739",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2741",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 28%",
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    {
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      "to_node": "node_2742",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
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    {
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      "to_node": "node_2743",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 20%",
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      "from_node": "node_2746",
      "to_node": "node_2747",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "to_node": "node_2748",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.323)",
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    {
      "from_node": "node_2748",
      "to_node": "node_2749",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
      "from_node": "node_2749",
      "to_node": "node_2750",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006794)",
      "action_type": null,
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    {
      "from_node": "node_2750",
      "to_node": "node_2751",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
      "from_node": "node_2751",
      "to_node": "node_2752",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.397)",
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    {
      "from_node": "node_2752",
      "to_node": "node_2753",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2755",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
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      "to_node": "node_2756",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
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      "to_node": "node_2757",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
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      "from_node": "node_2757",
      "to_node": "node_2758",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
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    {
      "from_node": "node_2758",
      "to_node": "node_2759",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
      "from_node": "node_2759",
      "to_node": "node_2760",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2762",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
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      "to_node": "node_2763",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
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      "to_node": "node_2764",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.389)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
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    {
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      "to_node": "node_2768",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2769",
      "to_node": "node_2770",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
      "action_type": null,
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    {
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      "to_node": "node_2771",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.486)",
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    {
      "from_node": "node_2771",
      "to_node": "node_2772",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "to_node": "node_2773",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.613)",
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    {
      "from_node": "node_2773",
      "to_node": "node_2774",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.235)",
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    {
      "from_node": "node_2774",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2776",
      "to_node": "node_2777",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008146)",
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    {
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      "to_node": "node_2778",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
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    {
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      "to_node": "node_2779",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.256)",
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    {
      "from_node": "node_2779",
      "to_node": "node_2780",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
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    {
      "from_node": "node_2780",
      "to_node": "node_2781",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2783",
      "to_node": "node_2784",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
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    {
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      "to_node": "node_2785",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
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    {
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      "to_node": "node_2786",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.225)",
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    {
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      "to_node": "node_2787",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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    {
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      "to_node": "node_2788",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "action_type": null,
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    {
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      "to_node": "node_2790",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.259)",
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      "to_node": "node_2791",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.418)",
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      "to_node": "node_2792",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.287)",
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      "to_node": "node_2793",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.567)",
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    {
      "from_node": "node_2793",
      "to_node": "node_2794",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009629)",
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    {
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      "to_node": "node_2795",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
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    {
      "from_node": "node_2795",
      "to_node": "node_2796",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2798",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005367)",
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    {
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      "to_node": "node_2799",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)",
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    {
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      "to_node": "node_2800",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "to_node": "node_2801",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.248)",
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      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2802",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.346)",
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      "reasoning": "Increase 0 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.490)",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.256)",
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      "from_node": "node_2804",
      "to_node": "node_2805",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2807",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
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    {
      "from_node": "node_2807",
      "to_node": "node_2808",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "from_node": "node_2808",
      "to_node": "node_2809",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.567)",
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    {
      "from_node": "node_2809",
      "to_node": "node_2810",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2811",
      "to_node": "node_2812",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.406)",
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      "from_node": "node_2812",
      "to_node": "node_2813",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.473)",
      "action_type": null,
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    {
      "from_node": "node_2813",
      "to_node": "node_2814",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.217)",
      "action_type": null,
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    {
      "from_node": "node_2814",
      "to_node": "node_2815",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
      "action_type": null,
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    {
      "from_node": "node_2815",
      "to_node": "node_2816",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
      "action_type": null,
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    {
      "from_node": "node_2816",
      "to_node": "node_2817",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2819",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
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    {
      "from_node": "node_2819",
      "to_node": "node_2820",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
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    {
      "from_node": "node_2820",
      "to_node": "node_2821",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.610)",
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    {
      "from_node": "node_2821",
      "to_node": "node_2822",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007622)",
      "action_type": null,
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    {
      "from_node": "node_2822",
      "to_node": "node_2823",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
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    {
      "from_node": "node_2823",
      "to_node": "node_2824",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2825",
      "to_node": "node_2826",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.608)",
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    {
      "from_node": "node_2826",
      "to_node": "node_2827",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.002839)",
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    {
      "from_node": "node_2827",
      "to_node": "node_2828",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.003539)",
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    {
      "from_node": "node_2828",
      "to_node": "node_2829",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
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    {
      "from_node": "node_2829",
      "to_node": "node_2830",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
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    {
      "from_node": "node_2830",
      "to_node": "node_2831",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)",
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    {
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      "to_node": "node_2832",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
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    {
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      "to_node": "node_2833",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
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    {
      "from_node": "node_2833",
      "to_node": "node_2834",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2835",
      "to_node": "node_2836",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007712)",
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    {
      "from_node": "node_2836",
      "to_node": "node_2837",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006187)",
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    {
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      "to_node": "node_2838",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
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    {
      "from_node": "node_2838",
      "to_node": "node_2839",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007129)",
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    {
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      "to_node": "node_2840",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
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    {
      "from_node": "node_2840",
      "to_node": "node_2841",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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    {
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      "to_node": "node_2842",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2843",
      "to_node": "node_2844",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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    {
      "from_node": "node_2844",
      "to_node": "node_2845",
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    {
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      "to_node": "node_2846",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2849",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.603)",
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      "to_node": "node_2850",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
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      "to_node": "node_2851",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
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      "to_node": "node_2852",
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      "reasoning": "Increase 4 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.647)",
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    {
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      "to_node": "node_2853",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.333)",
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    {
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      "to_node": "node_2854",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)",
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    {
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      "to_node": "node_2855",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2857",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.190)",
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      "to_node": "node_2858",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
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      "scale_factor": null
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    {
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      "to_node": "node_2859",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
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      "scale_factor": null
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    {
      "from_node": "node_2859",
      "to_node": "node_2860",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007636)",
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    {
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      "to_node": "node_2861",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "to_node": "node_2892",
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      "reasoning": "Add member connecting joints 2 and 4",
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      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)",
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      "edge_type": "modification",
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      "to_node": "node_2894",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 4",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "to_node": "node_2912",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2914",
      "edge_type": "modification",
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      "metadata": null,
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      "to_node": "node_2915",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 30%",
      "metadata": null,
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      "grammar_action": "SCALE_PARAM(5, thickness, 1.389)",
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      "from_node": "node_2916",
      "to_node": "node_2917",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "to_node": "node_2918",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
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      "to_node": "node_2919",
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      "reasoning": "Increase all_members thickness by 28%",
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      "to_node": "node_2920",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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      "to_node": "node_2921",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2923",
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      "reasoning": "Add member connecting joints 0 and 4",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
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      "to_node": "node_2932",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.488)",
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      "to_node": "node_2933",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.258)",
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    {
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      "to_node": "node_2935",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
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      "from_node": "node_2937",
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      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 25%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
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      "reasoning": "Increase 7 thickness by 45%",
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      "grammar_action": "SCALE_PARAM(7, thickness, 1.449)",
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    {
      "from_node": "node_2940",
      "to_node": "node_2941",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
      "from_node": "node_2941",
      "to_node": "node_2942",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007905)",
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      "reasoning": "Increase 9 thickness by 20%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007065)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)",
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      "to_node": "node_2948",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006849)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.385)",
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    {
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      "to_node": "node_2950",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_2951",
      "to_node": "node_2952",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006987)",
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      "to_node": "node_2953",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.236)",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.255)",
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    {
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      "to_node": "node_2955",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.439)",
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    {
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      "to_node": "node_2956",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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    {
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      "to_node": "node_2957",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
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    {
      "from_node": "node_2957",
      "to_node": "node_2958",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2960",
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      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.335)",
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    {
      "from_node": "node_2960",
      "to_node": "node_2961",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)",
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    {
      "from_node": "node_2961",
      "to_node": "node_2962",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.307)",
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    {
      "from_node": "node_2962",
      "to_node": "node_2963",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_2964",
      "to_node": "node_2965",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.196)",
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    {
      "from_node": "node_2965",
      "to_node": "node_2966",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.002825)",
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    {
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      "to_node": "node_2967",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
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    {
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      "to_node": "node_2968",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)",
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    {
      "from_node": "node_2968",
      "to_node": "node_2969",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
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    {
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      "to_node": "node_2970",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
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    {
      "from_node": "node_2970",
      "to_node": "node_2971",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2972",
      "to_node": "node_2973",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
      "metadata": null,
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    {
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      "to_node": "node_2974",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.458)",
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    {
      "from_node": "node_2974",
      "to_node": "node_2975",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 4",
      "metadata": null,
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    {
      "from_node": "node_2975",
      "to_node": "node_2976",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2978",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.527)",
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      "to_node": "node_2979",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
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      "to_node": "node_2980",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
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    {
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      "to_node": "node_2981",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.357)",
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    {
      "from_node": "node_2981",
      "to_node": "node_2982",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)",
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      "scale_factor": null
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    {
      "from_node": "node_2982",
      "to_node": "node_2983",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "reasoning": "Increase all_members thickness by 14%",
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      "to_node": "node_3025",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.182)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.637)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "grammar_action": "SCALE_PARAM(2, thickness, 1.435)",
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      "to_node": "node_3041",
      "edge_type": "modification",
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      "to_node": "node_3043",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
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      "to_node": "node_3044",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "to_node": "node_3045",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 31%",
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      "to_node": "node_3115",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "reasoning": "Increase all_members thickness by 26%",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "to_node": "node_3135",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.290)",
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      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 24%",
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      "to_node": "node_3173",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 39%",
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      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "to_node": "node_3183",
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      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006388)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "reasoning": "Add member connecting joints 2 and 4",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 3",
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      "grammar_action": "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)",
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      "reasoning": "Increase 0 thickness by 46%",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
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      "to_node": "node_3209",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "to_node": "node_3210",
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      "reasoning": "Add member connecting joints 0 and 4",
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      "grammar_action": "SCALE_PARAM(4, thickness, 1.437)",
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      "to_node": "node_3213",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
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      "to_node": "node_3214",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 4",
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      "to_node": "node_3215",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 0 and 4",
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      "to_node": "node_3218",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "to_node": "node_3220",
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      "reasoning": "Add member connecting joints 3 and 4",
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      "to_node": "node_3221",
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      "reasoning": "Increase 6 thickness by 54%",
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      "to_node": "node_3222",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "to_node": "node_3223",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
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      "to_node": "node_3224",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3226",
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      "reasoning": "Increase all_members thickness by 18%",
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      "reasoning": "Increase 10 thickness by 22%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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      "reasoning": "Add member connecting joints 0 and 4",
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      "reasoning": "Increase all_members thickness by 31%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.359)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.637)",
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      "reasoning": "Increase all_members thickness by 14%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.391)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
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      "metadata": null,
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      "grammar_action": "SCALE_PARAM(0, thickness, 1.198)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
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      "to_node": "node_3391",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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    {
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      "to_node": "node_3392",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
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      "to_node": "node_3393",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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